Metrics for Octave 3.8, jcobi/2

analyze70.0ms (0.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	28.1%	71.9%	0%	0%	0%	0
0%	0%	28.1%	71.9%	0%	0%	0%	1
0%	0%	28.1%	71.9%	0%	0%	0%	2
25%	7%	21.1%	71.9%	0%	0%	0%	3
62.5%	17.5%	10.5%	71.9%	0%	0%	0%	4
75%	21.1%	7%	71.9%	0%	0%	0%	5
81.3%	22.8%	5.3%	71.9%	0%	0%	0%	6
82.8%	23.2%	4.8%	71.9%	0%	0%	0%	7
83.6%	23.5%	4.6%	71.9%	0%	0%	0%	8
87.1%	24.5%	3.6%	71.9%	0%	0%	0%	9
89.1%	25%	3.1%	71.9%	0%	0%	0%	10
91.5%	25.7%	2.4%	71.9%	0%	0%	0%	11
93.6%	26.3%	1.8%	71.9%	0%	0%	0%	12

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 12.0ms (32.2% of total)

ival->: 8.0ms (21.5% of total)

ival-div: 7.0ms (18.8% of total)

ival-mult: 6.0ms (16.1% of total)

ival-sub: 2.0ms (5.4% of total)

ival-and: 1.0ms (2.7% of total)

const: 1.0ms (2.7% of total)

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

sample2.0s (16.2%)

Results

1.0s	6623×	0	valid
358.0ms	1189×	1	valid
194.0ms	444×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-div: 308.0ms (25.8% of total)

ival-add: 288.0ms (24.1% of total)

ival->: 230.0ms (19.3% of total)

ival-mult: 171.0ms (14.3% of total)

ival-sub: 82.0ms (6.9% of total)

backward-pass: 76.0ms (6.4% of total)

const: 21.0ms (1.8% of total)

ival-and: 18.0ms (1.5% of total)

Bogosity

preprocess294.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

2810×	`+-lowering-+.f64`
2810×	`+-lowering-+.f32`
2202×	`-lowering-.f32`
2202×	`-lowering-.f64`
1486×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	282
1	219	266
2	807	256
3	4331	250
0	15	27
1	35	26
2	121	25
3	536	25
4	2879	25
5	4330	25
6	5816	25
0	8005	25

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

Outputs
(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)
(/ (fma (+ alpha beta) (/ (- beta alpha) (* (+ alpha (fma 2 i beta)) (sum4 alpha beta 2 (* 2 i)))) 1) 2)
(/ (+ (/ (/ (* (+ (neg alpha) beta) (- beta (neg alpha))) (+ (+ (neg alpha) beta) (* 2 i))) (+ (+ (+ (neg alpha) beta) (* 2 i)) 2)) 1) 2)
(/ (fma (+ alpha beta) (/ (- beta alpha) (* (- (fma 2 i beta) alpha) (sum3 beta (fmsub 2 i alpha) 2))) 1) 2)
(/ (+ (/ (/ (* (+ alpha (neg beta)) (- (neg beta) alpha)) (+ (+ alpha (neg beta)) (* 2 i))) (+ (+ (+ alpha (neg beta)) (* 2 i)) 2)) 1) 2)
(/ (fma (- alpha beta) (/ (/ (+ alpha beta) (- beta (fma 2 i alpha))) (sum3 alpha (fmsub 2 i beta) 2)) 1) 2)
(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 (neg i)))) (+ (+ (+ alpha beta) (* 2 (neg i))) 2)) 1) 2)
(/ (fma (/ (+ alpha beta) (sum4 alpha beta 2 (* i -2))) (/ (- beta alpha) (+ alpha (fma i -2 beta))) 1) 2)
(neg (/ (+ (/ (/ (* (+ (neg alpha) beta) (- beta (neg alpha))) (+ (+ (neg alpha) beta) (* 2 i))) (+ (+ (+ (neg alpha) beta) (* 2 i)) 2)) 1) 2))
(/ (fma (+ alpha beta) (/ (- beta alpha) (* (- (fma 2 i beta) alpha) (sum3 beta (fmsub 2 i alpha) 2))) 1) -2)
(neg (/ (+ (/ (/ (* (+ alpha (neg beta)) (- (neg beta) alpha)) (+ (+ alpha (neg beta)) (* 2 i))) (+ (+ (+ alpha (neg beta)) (* 2 i)) 2)) 1) 2))
(/ (fma (- alpha beta) (/ (/ (+ alpha beta) (- beta (fma 2 i alpha))) (sum3 alpha (fmsub 2 i beta) 2)) 1) -2)
(neg (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 (neg i)))) (+ (+ (+ alpha beta) (* 2 (neg i))) 2)) 1) 2))
(/ (fma (/ (+ alpha beta) (sum4 alpha beta 2 (* i -2))) (/ (- beta alpha) (+ alpha (fma i -2 beta))) 1) -2)
(/ (+ (/ (/ (* (+ beta alpha) (- alpha beta)) (+ (+ beta alpha) (* 2 i))) (+ (+ (+ beta alpha) (* 2 i)) 2)) 1) 2)
(/ (fma (+ alpha beta) (/ (/ (- alpha beta) (+ alpha (fma 2 i beta))) (sum4 alpha beta 2 (* 2 i))) 1) 2)
(/ (+ (/ (/ (* (+ i beta) (- beta i)) (+ (+ i beta) (* 2 alpha))) (+ (+ (+ i beta) (* 2 alpha)) 2)) 1) 2)
(/ (fma (/ (+ beta i) (sum4 beta i 2 (* alpha 2))) (/ (- beta i) (fma alpha 2 (+ beta i))) 1) 2)
(/ (+ (/ (/ (* (+ alpha i) (- i alpha)) (+ (+ alpha i) (* 2 beta))) (+ (+ (+ alpha i) (* 2 beta)) 2)) 1) 2)
(/ (fma (- i alpha) (/ (+ alpha i) (* (+ alpha (fma beta 2 i)) (sum4 alpha i 2 (* beta 2)))) 1) 2)

explain172.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

60.0ms	410×	0	valid
23.0ms	82×	1	valid
14.0ms	20×	2	valid

Compiler

Compiled 306 to 47 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 16.0ms (32.7% of total)

ival-div: 15.0ms (30.7% of total)

ival-mult: 10.0ms (20.4% of total)

backward-pass: 4.0ms (8.2% of total)

ival-sub: 3.0ms (6.1% of total)

const: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 32 to 18 computations (43.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.0%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	68.9%	(/.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))))))) #s(literal 1 binary64)) #s(literal 2 binary64))

Status

Accuracy

Program

▶

60.0%

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

▶

68.9%

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

Compiler

Compiled 64 to 33 computations (48.4% saved)

simplify295.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2806×	`-lowering-.f32`
2806×	`-lowering-.f64`
1948×	`fma-lowering-fma.f32`
1948×	`fma-lowering-fma.f64`
1850×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	274
1	69	261
2	250	261
3	1531	261
4	3379	261
5	4401	261
6	5911	261
0	8090	261

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize443.0ms (3.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
✓	accuracy	99.9%	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
✓	accuracy	81.0%	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	accuracy	66.3%	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))
✓	accuracy	100.0%	(.f64 (+.f64 alpha (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))))
✓	accuracy	95.4%	(.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i)))))))
✓	accuracy	81.0%	(+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))))))) #s(literal 1 binary64))
✓	accuracy	71.1%	(/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))))

Results

336.0ms	205×	0	valid
38.0ms	41×	1	valid
8.0ms	10×	2	valid

Compiler

Compiled 303 to 26 computations (91.4% saved)

Precisions

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

ival-add: 23.0ms (39.4% of total)

backward-pass: 14.0ms (24% of total)

ival-div: 10.0ms (17.1% of total)

ival-mult: 9.0ms (15.4% of total)

ival-sub: 2.0ms (3.4% of total)

const: 1.0ms (1.7% of total)

series84.0ms (0.7%)

Counts

11 → 384

Calls

Call 1

Inputs
#<alt (/ (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ beta (* 2 i))) (+ alpha (+ beta (+ 2 (* 2 i))))))) 1) 2)>
#<alt (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ beta (* 2 i))) (+ alpha (+ beta (+ 2 (* 2 i))))))) 1)>
#<alt (* (- beta alpha) (/ (+ alpha beta) (* (+ alpha (+ beta (* 2 i))) (+ alpha (+ beta (+ 2 (* 2 i)))))))>
#<alt (- beta alpha)>
#<alt (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)>
#<alt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1)>
#<alt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2))>
#<alt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i)))>
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Outputs
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#<alt (/ (- (+ 1 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i)))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (* -1 (/ (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ alpha (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))) beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))>
#<alt (/ 1 (+ 2 (+ alpha beta)))>
#<alt (+ (* -1 (* i (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2)))))) (/ 1 (+ 2 (+ alpha beta))))>
#<alt (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2))))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2)))))) (/ 1 (+ 2 (+ alpha beta))))>
#<alt (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2))))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2))))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2)))))) (/ 1 (+ 2 (+ alpha beta))))>
#<alt (* 1/4 (/ (+ alpha beta) (pow i 2)))>
#<alt (/ (+ (* -1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i)) (* 1/4 (+ alpha beta))) (pow i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)))) (pow i 2))) (* 1/4 (+ alpha beta))) (* 1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i))) (pow i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))))) (pow i 3))) (* 1/4 (+ alpha beta))) (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i))))) (pow i 2))>
#<alt (* 1/4 (/ (+ alpha beta) (pow i 2)))>
#<alt (/ (+ (* 1/16 (/ (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))) i)) (* 1/4 (+ alpha beta))) (pow i 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) i))) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))))) i))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))>
#<alt (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))>
#<alt (+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))>
#<alt (+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))>
#<alt (+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))>
#<alt (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))>
#<alt (+ (* beta (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))>
#<alt (+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))>
#<alt (+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))>
#<alt (* (+ 2 (+ alpha beta)) (+ alpha beta))>
#<alt (+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))>
#<alt (+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))>
#<alt (+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (* 2 (/ (+ alpha beta) i)))))>
#<alt (* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))>
#<alt (* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))>
#<alt (+ beta (* 2 i))>
#<alt (+ alpha (+ beta (* 2 i)))>
#<alt (+ alpha (+ beta (* 2 i)))>
#<alt (+ alpha (+ beta (* 2 i)))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))>
#<alt (+ alpha (* 2 i))>
#<alt (+ alpha (+ beta (* 2 i)))>
#<alt (+ alpha (+ beta (* 2 i)))>
#<alt (+ alpha (+ beta (* 2 i)))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))>
#<alt (+ alpha beta)>
#<alt (+ alpha (+ beta (* 2 i)))>
#<alt (+ alpha (+ beta (* 2 i)))>
#<alt (+ alpha (+ beta (* 2 i)))>
#<alt (* 2 i)>
#<alt (* i (+ 2 (+ (/ alpha i) (/ beta i))))>
#<alt (* i (+ 2 (+ (/ alpha i) (/ beta i))))>
#<alt (* i (+ 2 (+ (/ alpha i) (/ beta i))))>
#<alt (* 2 i)>
#<alt (* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))>
#<alt (* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))>
#<alt (* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))>

Calls

96 calls:

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

rewrite414.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2680×	`-lowering-.f32`
2680×	`-lowering-.f64`
2344×	`/-lowering-/.f32`
2344×	`/-lowering-/.f64`
2296×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	203
1	226	192
2	2607	192
0	8255	192

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 481

Calls

Call 1

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

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

simplify527.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

4234×	`-lowering-.f32`
4234×	`-lowering-.f64`
3340×	`+-lowering-+.f64`
3340×	`+-lowering-+.f32`
1850×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1307	27451
1	4867	24985
0	8059	24985

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))) (* 1/2 (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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1
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1
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(/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
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-1
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(* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
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1
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
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(- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
1
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
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(/ (- beta alpha) (+ 2 (+ alpha beta)))
(- (+ (* -1 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (pow beta 2) (+ beta (* 2 i)))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (/ beta (+ beta (* 2 i)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (/ (pow beta 2) (pow (+ beta (* 2 i)) 3)) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 3))) (+ (/ 1 (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 3)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 4)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(* -1 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (/ alpha (+ alpha (* 2 i)))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (/ 1 (+ alpha (* 2 i)))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (+ (* beta (- (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 3))) (/ alpha (pow (+ alpha (* 2 i)) 3))) (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 4))) (/ 1 (pow (+ alpha (* 2 i)) 2))))) (/ 1 (+ alpha (* 2 i))))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) beta))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) beta))) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) beta)) beta))) beta)) 1)))
(- beta alpha)
(- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)
(- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 3) (- beta alpha)))) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* alpha (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))) (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ 1 (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))) (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(/ 1 alpha)
(/ (- (+ 1 (/ beta alpha)) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))) alpha)
(/ (- (+ 1 (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ beta alpha))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))) alpha)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (+ 2 (+ (* 2 beta) (* 4 i)))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (/ beta alpha))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (+ 2 (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* -1 (/ (- beta (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ beta (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1) alpha))
(/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(+ (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3))) (+ (* -1 (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ 1 (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(/ 1 beta)
(/ (- (+ 1 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i)))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- alpha (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))))) beta)
(/ 1 beta)
(* -1 (/ (- (* -1 (/ (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (+ alpha (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))) beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)) 1) beta))
(/ 1 (+ 2 (+ alpha beta)))
(+ (* -1 (* i (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2)))))) (/ 1 (+ 2 (+ alpha beta))))
(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2))))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2)))))) (/ 1 (+ 2 (+ alpha beta))))
(+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2))))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2))))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (* 2 (/ 1 (pow (+ 2 (+ alpha beta)) 2)))))) (/ 1 (+ 2 (+ alpha beta))))
(* 1/4 (/ (+ alpha beta) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)))) (pow i 2))) (* 1/4 (+ alpha beta))) (* 1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))))) (pow i 3))) (* 1/4 (+ alpha beta))) (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i))))) (pow i 2))
(* 1/4 (/ (+ alpha beta) (pow i 2)))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) i))) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))))) i))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))
(+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))
(* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))
(+ (* beta (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
(* (+ 2 (+ alpha beta)) (+ alpha beta))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (* 2 (/ (+ alpha beta) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))
(+ beta (* 2 i))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(+ alpha (* 2 i))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(+ alpha beta)
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))

Outputs
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)))))))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
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(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
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(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (-.f64 beta alpha)) (*.f64 i i))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
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(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
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(* -1 alpha)
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(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
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(- beta alpha)
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beta
(* beta (+ 1 (* -1 (/ alpha beta))))
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(* beta (+ 1 (* -1 (/ alpha beta))))
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(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 alpha beta) #s(literal -1 binary64)))
(* -1 (* beta (- (/ alpha beta) 1)))
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(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 alpha beta) #s(literal -1 binary64)))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* alpha (- (/ beta alpha) 1))
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(* alpha (- (/ beta alpha) 1))
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(* alpha (- (/ beta alpha) 1))
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(* -1 alpha)
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(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
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(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
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(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
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(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
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(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(- (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
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(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (-.f64 beta alpha)) (*.f64 i i))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (+.f64 alpha beta) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)))) i) (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (-.f64 beta alpha))) (*.f64 i i))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (-.f64 beta alpha)) (/.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (.f64 i i))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (+.f64 alpha beta) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)))) i)) (.f64 i i))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(/.f64 (-.f64 (-.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (-.f64 beta alpha)) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (+.f64 (.f64 #s(literal -1/64 binary64) (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))))) (.f64 i (.f64 i i)))) (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (.f64 (+.f64 alpha beta) (.f64 (-.f64 beta alpha) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))) (.f64 i i)) (.f64 #s(literal 1/16 binary64) (+.f64 (.f64 (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) i)) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (/.f64 (.f64 (+.f64 alpha beta) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))) i))))) (.f64 i i))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (-.f64 beta alpha)) (*.f64 i i))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (-.f64 beta alpha)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha))) i)) (*.f64 i i))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (-.f64 beta alpha)) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (.f64 (-.f64 beta alpha) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))))) i) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) i) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha))))) i)) (*.f64 i i))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (-.f64 beta alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (.f64 (-.f64 beta alpha) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))))) i) (-.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (-.f64 beta alpha) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))))) i) (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (.f64 (-.f64 beta alpha) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))))) i)) (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha)))) i)) (.f64 i i))
(/ (pow beta 2) (+ beta (* 2 i)))
(/.f64 (.f64 beta beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (/ beta (+ beta (* 2 i)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+.f64 (/.f64 (.f64 beta beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (.f64 alpha (-.f64 (.f64 #s(literal 0 binary64) (/.f64 beta (+.f64 (.f64 #s(literal 2 binary64) i) beta))) (/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (*.f64 #s(literal 2 binary64) i) beta))))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (/ (pow beta 2) (pow (+ beta (* 2 i)) 3)) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+.f64 (/.f64 (.f64 beta beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (.f64 alpha (-.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (.f64 alpha (-.f64 (/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))) (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta))) (/.f64 beta (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta))))))) (/.f64 beta (+.f64 (.f64 #s(literal 2 binary64) i) beta))) (/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (*.f64 #s(literal 2 binary64) i) beta))))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 3))) (+ (/ 1 (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 3)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 4)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+.f64 (/.f64 (.f64 beta beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (.f64 alpha (-.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (.f64 alpha (+.f64 (.f64 alpha (-.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))) (/.f64 beta (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta))))) (/.f64 (.f64 beta beta) (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) #s(literal 4 binary64))))) (-.f64 (/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))) (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta))) (/.f64 beta (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))))))) (/.f64 beta (+.f64 (.f64 #s(literal 2 binary64) i) beta))) (/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (*.f64 #s(literal 2 binary64) i) beta))))))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(.f64 alpha (-.f64 (.f64 #s(literal 0 binary64) (/.f64 beta alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) i) beta) alpha))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(.f64 alpha (-.f64 (+.f64 (.f64 #s(literal 0 binary64) (/.f64 beta alpha)) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) alpha)) (/.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (-.f64 (.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))) (.f64 alpha alpha)))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(.f64 alpha (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (-.f64 (.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))))) (.f64 alpha (.f64 alpha alpha)))) (/.f64 beta alpha)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) alpha)) (/.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (-.f64 (.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))) (.f64 alpha alpha)))))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))) alpha)))))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta))) alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 0 binary64) beta)) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))))) alpha)) (.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) i) beta))) alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 0 binary64) beta)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 #s(literal -1 binary64) (-.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta))))))) alpha)) (.f64 #s(literal -1 binary64) (-.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta))))))) alpha)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta))) alpha)))
(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha alpha)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (/ alpha (+ alpha (* 2 i)))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(-.f64 (.f64 beta (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha alpha)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) (/.f64 (.f64 alpha alpha) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (/ 1 (+ alpha (* 2 i)))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(-.f64 (.f64 beta (+.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 beta (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) (.f64 #s(literal 0 binary64) (/.f64 alpha (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))))) (/.f64 alpha (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))))) (/.f64 (.f64 alpha alpha) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (+ (* beta (- (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 3))) (/ alpha (pow (+ alpha (* 2 i)) 3))) (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 4))) (/ 1 (pow (+ alpha (* 2 i)) 2))))) (/ 1 (+ alpha (* 2 i))))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(-.f64 (.f64 beta (+.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 beta (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 beta (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64))))))) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) (.f64 #s(literal 0 binary64) (/.f64 alpha (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))))) (/.f64 alpha (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))))) (/.f64 (.f64 alpha alpha) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))
beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(.f64 beta (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (.f64 #s(literal -2 binary64) (/.f64 i beta))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(.f64 beta (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 (/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) beta) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) beta))))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(.f64 beta (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)) (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha alpha)) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (-.f64 #s(literal 0 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))) (.f64 beta (.f64 beta beta)))) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 (/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) beta) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) beta)))))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))))))
(.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 0 binary64) alpha) beta)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) beta))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) beta))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) beta))) beta)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))))) beta)) beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) beta)) beta))) beta)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 alpha (.f64 #s(literal 2 binary64) i))))) (/.f64 (-.f64 (/.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 #s(literal -1 binary64) (-.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))))))) beta) (.f64 #s(literal -1 binary64) (-.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)))))))) beta))) beta) #s(literal -1 binary64)))
(- beta alpha)
(-.f64 beta alpha)
(- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)
(+.f64 beta (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 i (-.f64 beta alpha))) (+.f64 alpha beta)) alpha))
(- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(+.f64 beta (-.f64 (.f64 i (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 i (-.f64 beta alpha))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 beta alpha)) (+.f64 alpha beta)))) alpha))
(- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(+.f64 beta (-.f64 (.f64 i (+.f64 (.f64 i (-.f64 (/.f64 (.f64 #s(literal -8 binary64) (.f64 i (-.f64 beta alpha))) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (.f64 #s(literal -4 binary64) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha beta))))) alpha))
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) i)
(/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) i))) (.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i)
(/.f64 (+.f64 (.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) i)) (/.f64 #s(literal 1/8 binary64) i)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) i))))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
(/.f64 (-.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (.f64 (/.f64 #s(literal -1/16 binary64) (.f64 i i)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (/.f64 (-.f64 beta alpha) i)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) i))) (.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (*.f64 i i)) #s(literal -1/8 binary64)))) i)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) i)
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) i))) (.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) i))) (.f64 (.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1/4 binary64))) i)) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 3) (- beta alpha)))) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (/.f64 (-.f64 beta alpha) i))) (.f64 #s(literal -1/8 binary64) (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))))) i) (.f64 #s(literal -1/4 binary64) (.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) i)) i))
(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(/.f64 beta (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) i))))
(+ (* alpha (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+.f64 (/.f64 beta (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)))) (.f64 alpha (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (/.f64 (.f64 beta (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 i #s(literal 4 binary64)))) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (.f64 #s(literal 2 binary64) i) beta)))))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))) (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))))) (pow i 3))) (* 1/4 (+ alpha beta))) (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) i))))) (pow i 2))
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(* 1/4 (/ (+ alpha beta) (pow i 2)))
(/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (.f64 i i))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/.f64 (+.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))) i)) (*.f64 i i))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) i))) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/.f64 (-.f64 (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))) i) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) i) (.f64 #s(literal 1/16 binary64) (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))) i)) (*.f64 i i))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))))) i))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
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(* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) i)))
(+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (.f64 alpha (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 i #s(literal 4 binary64)))))
(+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (.f64 alpha (+.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 (.f64 i #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) beta)))))
(+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i))) (.f64 alpha (+.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 (.f64 i #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) beta)))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))))
(.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 i #s(literal 4 binary64)) alpha) (/.f64 #s(literal 2 binary64) alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (+.f64 (/.f64 (.f64 i #s(literal 4 binary64)) alpha) (/.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 alpha alpha)))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (+.f64 (/.f64 (.f64 i #s(literal 4 binary64)) alpha) (/.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) i) beta) (.f64 alpha alpha)))))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) alpha))))
(.f64 (.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))
(.f64 (.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) i) beta) alpha))) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))
(.f64 (.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal 2 binary64) i)) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) i) beta) alpha))) alpha)))
(* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))
(.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))))
(+ (* beta (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(+.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 #s(literal 2 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (.f64 beta (+.f64 (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64)))))
(+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(+.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 #s(literal 2 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta (.f64 alpha #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))))
(+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(+.f64 (.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) (+.f64 #s(literal 2 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i)))) (.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta (.f64 alpha #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 alpha #s(literal 2 binary64)) beta) (+.f64 (/.f64 (.f64 i #s(literal 4 binary64)) beta) (/.f64 #s(literal 2 binary64) beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (.f64 alpha #s(literal 2 binary64)) beta) (/.f64 (.f64 i #s(literal 4 binary64)) beta)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (.f64 (/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) beta) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) beta))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (.f64 alpha #s(literal 2 binary64)) beta) (/.f64 (.f64 i #s(literal 4 binary64)) beta)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (.f64 (/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) beta) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) beta))))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (/.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) beta))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (.f64 #s(literal 2 binary64) i))) (/.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) beta))) beta)))
(* (+ 2 (+ alpha beta)) (+ alpha beta))
(*.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 i (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 i (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 i #s(literal 4 binary64)))))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 i (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 i #s(literal 4 binary64)))))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (* 2 (/ (+ alpha beta) i)))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (+.f64 alpha beta) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (+.f64 alpha beta) i))) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 i i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (+.f64 alpha beta) i))) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 i i)))))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))
(.f64 (.f64 i i) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))
(.f64 (.f64 i i) (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (+.f64 alpha beta) i))) i)))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))
(.f64 (.f64 i i) (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (+.f64 alpha beta) i))) i)))
(+ beta (* 2 i))
(+.f64 (*.f64 #s(literal 2 binary64) i) beta)
(+ alpha (+ beta (* 2 i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+ alpha (+ beta (* 2 i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+ alpha (+ beta (* 2 i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (.f64 #s(literal 2 binary64) i) alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (.f64 #s(literal 2 binary64) i) alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (.f64 #s(literal 2 binary64) i) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) alpha) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) alpha) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 2 binary64) i) beta)) alpha) #s(literal -1 binary64)))
(+ alpha (* 2 i))
(+.f64 alpha (*.f64 #s(literal 2 binary64) i))
(+ alpha (+ beta (* 2 i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+ alpha (+ beta (* 2 i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+ alpha (+ beta (* 2 i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) i) beta)) (/.f64 alpha beta)))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) i) beta)) (/.f64 alpha beta)))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) i) beta)) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha (.f64 #s(literal 2 binary64) i)) beta)) #s(literal -1 binary64)))
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha (+ beta (* 2 i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+ alpha (+ beta (* 2 i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+ alpha (+ beta (* 2 i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(*.f64 i (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(*.f64 i (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(*.f64 i (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i))))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(.f64 (.f64 #s(literal -1 binary64) i) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha beta) i)) #s(literal -2 binary64)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(.f64 (.f64 #s(literal -1 binary64) i) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha beta) i)) #s(literal -2 binary64)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(.f64 (.f64 #s(literal -1 binary64) i) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha beta) i)) #s(literal -2 binary64)))

eval430.0ms (3.5%)

Compiler: Compiled 61625 to 3640 computations (94.1% saved)

prune109.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	975	10	985
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	977	10	987

Accuracy

100.0%

Counts

987 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 i #s(literal 4 binary64))))) alpha) #s(literal 2 binary64))
▶	67.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	79.8%	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	7.3%	(/.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 alpha alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.0%	(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	3.5%	(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
	24.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))) beta))
	43.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))))
	34.4%	#s(literal 1 binary64)
▶	61.3%	#s(literal 1/2 binary64)

Compiler

Compiled 288 to 212 computations (26.4% saved)

simplify183.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1940×	`sum5-define`
1836×	`sum4-define`
1402×	`+-lowering-+.f64`
1402×	`+-lowering-+.f32`
1284×	`sum3-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	27	172
1	55	164
2	131	164
3	310	164
4	681	164
5	1621	164
6	5430	160
0	8238	160

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize188.0ms (1.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 alpha alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	95.0%	(.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 alpha alpha)))
✓	accuracy	80.5%	(+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 alpha alpha))) #s(literal 1 binary64))
✓	accuracy	75.8%	(/.f64 (+.f64 alpha beta) (*.f64 alpha alpha))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
✓	accuracy	74.8%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	100.0%	(+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
✓	accuracy	100.0%	(/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))

Results

85.0ms	95×	2	valid
38.0ms	129×	0	valid
19.0ms	32×	1	valid

Compiler

Compiled 189 to 27 computations (85.7% saved)

Precisions

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

ival-div: 22.0ms (32.9% of total)

ival-add: 19.0ms (28.4% of total)

backward-pass: 12.0ms (17.9% of total)

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

ival-sub: 3.0ms (4.5% of total)

const: 1.0ms (1.5% of total)

series181.0ms (1.5%)

Counts

18 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
141.0ms	alpha	@	inf	(/ (+ (* (- beta alpha) (/ (+ alpha beta) (* alpha alpha))) 1) 2)
7.0ms	beta	@	-inf	(/ (+ (* (- beta alpha) (/ (+ alpha beta) (* alpha alpha))) 1) 2)
4.0ms	beta	@	inf	(/ (+ (/ beta (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)
2.0ms	beta	@	inf	(/ (+ (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)
1.0ms	beta	@	0	(/ (+ (* (- beta alpha) (/ (+ alpha beta) (* alpha alpha))) 1) 2)

rewrite404.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5896×	`-lowering-.f32`
5896×	`-lowering-.f64`
3368×	`/-lowering-/.f32`
3368×	`/-lowering-/.f64`
2814×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	143
1	181	134
2	1824	132
0	9383	132

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 442

Calls

Call 1

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

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

simplify419.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4608×	`+-lowering-+.f64`
4608×	`+-lowering-+.f32`
4382×	`-lowering-.f32`
4382×	`-lowering-.f64`
1844×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	916	6428
1	3124	5848
0	8321	5848

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

eval149.0ms (1.2%)

Compiler: Compiled 26127 to 3253 computations (87.5% saved)

prune123.0ms (1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	988	8	996
Fresh	0	5	5
Picked	4	1	5
Done	0	0	0
Total	992	14	1006

Accuracy

100.0%

Counts

1006 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 i #s(literal 4 binary64))))) alpha) #s(literal 2 binary64))
▶	15.4%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
	52.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
	79.8%	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	30.9%	(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	79.8%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.0%	(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	24.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))) beta))
	47.3%	(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) beta) i))
▶	43.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))))
	34.4%	#s(literal 1 binary64)
✓	61.3%	#s(literal 1/2 binary64)
▶	3.5%	#s(literal 0 binary64)

Compiler

Compiled 356 to 262 computations (26.4% saved)

simplify182.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 alpha beta) i)
✓	cost-diff	0	(*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))
✓	cost-diff	0	(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i)))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))))
✓	cost-diff	0	(*.f64 beta #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha)
✓	cost-diff	256	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 beta alpha)
✓	cost-diff	0	(+.f64 (/.f64 beta alpha) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta)
✓	cost-diff	128	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

2860×	`-lowering-.f32`
2860×	`-lowering-.f64`
1368×	`fma-lowering-fma.f32`
1368×	`fma-lowering-fma.f64`
1276×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	180
1	68	169
2	157	166
3	431	166
4	1169	166
5	3537	166
6	6267	166
0	8062	166

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta) 1) 2)
(+ (* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta) 1)
(* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta)
(/ 1 (+ alpha (+ (+ beta (* 2 i)) 2)))
1
(+ alpha (+ (+ beta (* 2 i)) 2))
alpha
(+ (+ beta (* 2 i)) 2)
(+ beta (* 2 i))
beta
(* 2 i)
2
i
0
(/ (+ (/ beta alpha) 1) 2)
(+ (/ beta alpha) 1)
(/ beta alpha)
beta
alpha
1
2
(/ (/ (+ 2 (* beta 2)) alpha) 2)
(/ (+ 2 (* beta 2)) alpha)
(+ 2 (* beta 2))
2
(* beta 2)
beta
alpha
(+ 1/2 (* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i))))
1/2
(* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i)))
1/8
(* (/ (+ alpha beta) i) (/ (- beta alpha) i))
(/ (+ alpha beta) i)
(+ alpha beta)
alpha
beta
i
(/ (- beta alpha) i)
(- beta alpha)

Outputs
(/ (+ (* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))))) #s(literal 2 binary64))
(+ (* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta) 1)
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))))
(* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta)
(/.f64 beta (+.f64 beta (+.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))))
(/ 1 (+ alpha (+ (+ beta (* 2 i)) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))))
1
#s(literal 1 binary64)
(+ alpha (+ (+ beta (* 2 i)) 2))
(+.f64 beta (+.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))
alpha
(+ (+ beta (* 2 i)) 2)
(+.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))
(+ beta (* 2 i))
(+.f64 beta (*.f64 #s(literal 2 binary64) i))
beta
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
2
#s(literal 2 binary64)
i
0
#s(literal 0 binary64)
(/ (+ (/ beta alpha) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) #s(literal 2 binary64))
(+ (/ beta alpha) 1)
(+.f64 #s(literal 1 binary64) (/.f64 beta alpha))
(/ beta alpha)
(/.f64 beta alpha)
beta
alpha
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(/ (/ (+ 2 (* beta 2)) alpha) 2)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 2 (* beta 2)) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha)
(+ 2 (* beta 2))
(+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(* beta 2)
(*.f64 beta #s(literal 2 binary64))
beta
alpha
(+ 1/2 (* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i))))
(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (-.f64 beta alpha) i) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))
1/2
#s(literal 1/2 binary64)
(* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i)))
(.f64 (/.f64 (-.f64 beta alpha) i) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))
1/8
#s(literal 1/8 binary64)
(* (/ (+ alpha beta) i) (/ (- beta alpha) i))
(*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))
(/ (+ alpha beta) i)
(/.f64 (+.f64 alpha beta) i)
(+ alpha beta)
(+.f64 alpha beta)
alpha
beta
i
(/ (- beta alpha) i)
(/.f64 (-.f64 beta alpha) i)
(- beta alpha)
(-.f64 beta alpha)

localize153.0ms (1.2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) i)
✓	accuracy	100.0%	(/.f64 (+.f64 alpha beta) i)
✓	accuracy	99.7%	(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i)))
✓	accuracy	99.7%	(*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 beta #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha)
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 beta alpha)
✓	accuracy	100.0%	(+.f64 (/.f64 beta alpha) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	100.0%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta)

Results

76.0ms

256×

valid

Compiler

Compiled 196 to 31 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 18.0ms (45% of total)

ival-add: 11.0ms (27.5% of total)

ival-mult: 9.0ms (22.5% of total)

ival-sub: 1.0ms (2.5% of total)

const: 1.0ms (2.5% of total)

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

series37.0ms (0.3%)

Counts

17 → 480

Calls

Call 1

Inputs
#<alt (/ (+ (* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta) 1) 2)>
#<alt (+ (* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta) 1)>
#<alt (* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta)>
#<alt (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2)))>
#<alt (/ (+ (/ beta alpha) 1) 2)>
#<alt (+ (/ beta alpha) 1)>
#<alt (/ beta alpha)>
#<alt (/ (/ (+ 2 (* beta 2)) alpha) 2)>
#<alt (/ (+ 2 (* beta 2)) alpha)>
#<alt (+ 2 (* beta 2))>
#<alt (* beta 2)>
#<alt (+ 1/2 (* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i))))>
#<alt (* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i)))>
#<alt (* (/ (+ alpha beta) i) (/ (- beta alpha) i))>
#<alt (/ (+ alpha beta) i)>
#<alt (* 2 i)>
#<alt (/ (- beta alpha) i)>

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

Calls

120 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	inf	(* (/ (+ alpha beta) i) (/ (- beta alpha) i))
2.0ms	beta	@	-inf	(+ 1/2 (* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i))))
1.0ms	alpha	@	0	(/ (/ (+ 2 (* beta 2)) alpha) 2)
1.0ms	i	@	0	(+ 1/2 (* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i))))
1.0ms	alpha	@	0	(+ 1/2 (* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i))))

rewrite386.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3806×	`-lowering-.f32`
3806×	`-lowering-.f64`
3680×	`/-lowering-/.f32`
3680×	`/-lowering-/.f64`
1770×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	137
1	220	125
2	2089	125
0	8593	125

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 487

Calls

Call 1

Inputs
(/ (+ (* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta) 1) 2)
(+ (* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta) 1)
(* (/ 1 (+ alpha (+ (+ beta (* 2 i)) 2))) beta)
(/ 1 (+ alpha (+ (+ beta (* 2 i)) 2)))
(/ (+ (/ beta alpha) 1) 2)
(+ (/ beta alpha) 1)
(/ beta alpha)
(/ (/ (+ 2 (* beta 2)) alpha) 2)
(/ (+ 2 (* beta 2)) alpha)
(+ 2 (* beta 2))
(* beta 2)
(+ 1/2 (* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i))))
(* 1/8 (* (/ (+ alpha beta) i) (/ (- beta alpha) i)))
(* (/ (+ alpha beta) i) (/ (- beta alpha) i))
(/ (+ alpha beta) i)
(* 2 i)
(/ (- beta alpha) i)

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

simplify452.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4826×	`-lowering-.f32`
4826×	`-lowering-.f64`
3650×	`+-lowering-+.f64`
3650×	`+-lowering-+.f32`
2134×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	745	6694
1	2527	5775
0	8630	5775

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

eval149.0ms (1.2%)

Compiler: Compiled 20384 to 2632 computations (87.1% saved)

prune148.0ms (1.2%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	960	7	967
Fresh	1	7	8
Picked	2	3	5
Done	0	1	1
Total	963	18	981

Accuracy

100.0%

Counts

981 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 beta beta)) #s(literal 4 binary64)) (-.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
	22.4%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 i #s(literal 4 binary64))))) alpha) #s(literal 2 binary64))
✓	15.4%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
	52.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
▶	79.8%	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	30.9%	(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	79.8%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.0%	(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	5.4%	(/.f64 beta alpha)
	14.0%	(/.f64 #s(literal 1 binary64) alpha)
▶	15.3%	(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
	24.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))) beta))
	46.1%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 beta i))))
▶	15.1%	(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)))
▶	34.4%	#s(literal 1 binary64)
✓	61.3%	#s(literal 1/2 binary64)
✓	3.5%	#s(literal 0 binary64)

Compiler

Compiled 414 to 298 computations (28% saved)

simplify303.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha))
✓	cost-diff	384	(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.f64 beta alpha)
✓	cost-diff	128	(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta)
✓	cost-diff	128	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

4502×	`-lowering-.f32`
4502×	`-lowering-.f64`
4342×	`fma-define`
3966×	`fma-lowering-fma.f32`
3966×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	23	144
1	53	140
2	88	140
3	155	138
4	245	138
5	580	137
6	2037	137
7	3011	135
8	3782	135
9	4736	135
10	5123	135
11	5631	135
12	6337	135
13	6661	135
14	6831	135
0	8343	135

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize111.0ms (0.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 beta (*.f64 #s(literal 2 binary64) i))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	100.0%	(+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)
✓	accuracy	81.4%	(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)))
✓	accuracy	100.0%	(/.f64 beta alpha)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))
✓	accuracy	100.0%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta)

Results

79.0ms

256×

valid

Compiler

Compiled 174 to 24 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 25.0ms (63.3% of total)

ival-add: 9.0ms (22.8% of total)

ival-mult: 6.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Counts

16 → 360

Calls

Call 1

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

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

Calls

90 calls:

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

rewrite371.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3496×	`/-lowering-/.f32`
3496×	`/-lowering-/.f64`
2768×	`-lowering-.f32`
2768×	`-lowering-.f64`
2060×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	109
1	194	108
2	1840	108
0	8674	108

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 683

Calls

Call 1

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

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

simplify358.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4584×	`-lowering-.f32`
4584×	`-lowering-.f64`
2472×	`+-lowering-+.f64`
2472×	`+-lowering-+.f32`
1570×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	4084
1	1330	3802
2	4025	3671
0	8621	3671

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval138.0ms (1.1%)

Compiler: Compiled 24806 to 2488 computations (90% saved)

prune169.0ms (1.4%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1150	6	1156
Fresh	0	9	9
Picked	2	3	5
Done	1	3	4
Total	1153	21	1174

Accuracy

100.0%

Counts

1174 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 beta beta)) #s(literal 4 binary64)) (-.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
	22.4%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 i #s(literal 4 binary64))))) alpha) #s(literal 2 binary64))
	52.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
✓	79.8%	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	30.9%	(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	79.8%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.0%	(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	15.4%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	9.7%	(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 alpha alpha))
	24.5%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) i)) beta)) #s(literal 2 binary64))
	5.4%	(/.f64 beta alpha)
	14.0%	(/.f64 #s(literal 1 binary64) alpha)
	24.4%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))) beta))
	46.1%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 beta i))))
	15.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) beta)
	10.7%	(.f64 beta (/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (.f64 beta alpha) alpha)))
	13.7%	(.f64 beta (/.f64 #s(literal 1 binary64) (.f64 beta alpha)))
✓	34.4%	#s(literal 1 binary64)
✓	61.3%	#s(literal 1/2 binary64)
✓	3.5%	#s(literal 0 binary64)

Compiler

Compiled 632 to 321 computations (49.2% saved)

regimes72.0ms (0.6%)

Counts

33 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(.f64 beta (/.f64 #s(literal 1 binary64) (.f64 beta alpha)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) beta) i))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 alpha alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) beta)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) i)) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 beta (/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (.f64 beta alpha) alpha)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 beta i))))
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))))
(/.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 alpha alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 beta beta)) #s(literal 4 binary64)) (-.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))) beta))
(/.f64 (/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 i #s(literal 4 binary64))))) alpha) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

Calls

7 calls:

11.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
11.0ms	beta
10.0ms	(*.f64 #s(literal 2 binary64) i)
9.0ms	i
9.0ms	alpha

Results

Accuracy	Segments	Branch
89.2%	2	`alpha`
79.8%	1	`beta`
79.8%	1	`i`
96.1%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.1%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.1%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
79.8%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes11.0ms (0.1%)

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(.f64 beta (/.f64 #s(literal 1 binary64) (.f64 beta alpha)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) beta) i))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 alpha alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) beta)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) i)) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 beta (/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (.f64 beta alpha) alpha)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 beta i))))
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))))
(/.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 alpha alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 beta beta)) #s(literal 4 binary64)) (-.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))) beta))

Outputs

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

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

Calls

1 calls:

9.0ms

alpha

Results

Accuracy	Segments	Branch
84.0%	2	`alpha`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Counts

27 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(.f64 beta (/.f64 #s(literal 1 binary64) (.f64 beta alpha)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) beta) i))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 alpha alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) beta)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) i)) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 beta (/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (.f64 beta alpha) alpha)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 beta i))))
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))))
(/.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 alpha alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

Calls

1 calls:

8.0ms

alpha

Results

Accuracy	Segments	Branch
84.0%	2	`alpha`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(.f64 beta (/.f64 #s(literal 1 binary64) (.f64 beta alpha)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) beta) i))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 alpha alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) beta)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) i)) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 beta (/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (.f64 beta alpha) alpha)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 beta i))))
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))))
(/.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (.f64 alpha alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))

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

Calls

1 calls:

8.0ms

alpha

Results

Accuracy	Segments	Branch
84.0%	2	`alpha`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(.f64 beta (/.f64 #s(literal 1 binary64) (.f64 beta alpha)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) beta) i))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 alpha alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) beta)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) i)) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 beta (/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (.f64 beta alpha) alpha)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 beta i))))

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

Calls

4 calls:

8.0ms	alpha
7.0ms	beta
6.0ms	(*.f64 #s(literal 2 binary64) i)
6.0ms	i

Results

Accuracy	Segments	Branch
73.2%	1	`beta`
77.9%	2	`i`
77.9%	2	`(*.f64 #s(literal 2 binary64) i)`
77.7%	2	`alpha`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes15.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	alpha
4.0ms	i
4.0ms	beta

Results

Accuracy	Segments	Branch
74.5%	2	`beta`
67.4%	3	`alpha`
61.3%	1	`i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

2.0ms	beta
2.0ms	alpha

Results

Accuracy	Segments	Branch
61.3%	1	`alpha`
61.3%	1	`beta`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

1.0ms	alpha
1.0ms	i
1.0ms	beta

Results

Accuracy	Segments	Branch
3.5%	1	`i`
3.5%	1	`beta`
3.5%	1	`alpha`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999999	-0.0037044512152933063

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	8.471126791601269e+201	9.000055218180801e+201

Results

2.0ms	5×	2	valid
2.0ms	7×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 68 to 41 computations (39.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (42.5% of total)

ival-add: 1.0ms (42.5% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	8.471126791601269e+201	9.000055218180801e+201

Results

2.0ms	6×	2	valid
1.0ms	6×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 66 to 40 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (42.1% of total)

ival-add: 1.0ms (42.1% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	8.471126791601269e+201	9.000055218180801e+201

Results

2.0ms	7×	2	valid
1.0ms	5×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 64 to 39 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (41.3% of total)

ival-add: 1.0ms (41.3% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6689555786274954e+135	6.802038245226572e+136

Compiler

Compiled 36 to 21 computations (41.7% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	41650619878064104.0	1.158711497041013e+23

Results

14.0ms	121×	0	valid
4.0ms	19×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 128 to 110 computations (14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 3.0ms (25.4% of total)

ival-add: 3.0ms (25.4% of total)

ival-sub: 2.0ms (16.9% of total)

ival-mult: 2.0ms (16.9% of total)

backward-pass: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative_binary64`
18×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-lft-identity_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	156
1	88	156
2	92	156
3	94	156
4	95	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 i #s(literal 4 binary64))))) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 8500000000000000252624011910434488847537956131737583061509941848730128388488469092794106230818184438378340729977894246829237844217944645927063892635614339452176184856601006320028474133001696223124520960 binary64)) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8500000000000000252624011910434488847537956131737583061509941848730128388488469092794106230818184438378340729977894246829237844217944645927063892635614339452176184856601006320028474133001696223124520960 binary64)) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8500000000000000252624011910434488847537956131737583061509941848730128388488469092794106230818184438378340729977894246829237844217944645927063892635614339452176184856601006320028474133001696223124520960 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 5000000000000000293320306350370059877731021431948652194046856772754910676026907804752387678980696794902015187928503749688401051808432128 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(if (<=.f64 beta #s(literal 440000000000000000000 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

Outputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 i #s(literal 4 binary64))))) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) (/.f64 (/.f64 (+.f64 (.f64 beta #s(literal 0 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64)))) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 8500000000000000252624011910434488847537956131737583061509941848730128388488469092794106230818184438378340729977894246829237844217944645927063892635614339452176184856601006320028474133001696223124520960 binary64)) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (+.f64 beta (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8500000000000000252624011910434488847537956131737583061509941848730128388488469092794106230818184438378340729977894246829237844217944645927063892635614339452176184856601006320028474133001696223124520960 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))))))) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8500000000000000252624011910434488847537956131737583061509941848730128388488469092794106230818184438378340729977894246829237844217944645927063892635614339452176184856601006320028474133001696223124520960 binary64)) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))) beta) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8500000000000000252624011910434488847537956131737583061509941848730128388488469092794106230818184438378340729977894246829237844217944645927063892635614339452176184856601006320028474133001696223124520960 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i)))))) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8500000000000000252624011910434488847537956131737583061509941848730128388488469092794106230818184438378340729977894246829237844217944645927063892635614339452176184856601006320028474133001696223124520960 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8500000000000000252624011910434488847537956131737583061509941848730128388488469092794106230818184438378340729977894246829237844217944645927063892635614339452176184856601006320028474133001696223124520960 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 5000000000000000293320306350370059877731021431948652194046856772754910676026907804752387678980696794902015187928503749688401051808432128 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 5000000000000000293320306350370059877731021431948652194046856772754910676026907804752387678980696794902015187928503749688401051808432128 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(if (<=.f64 beta #s(literal 440000000000000000000 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

soundness2.7s (21.8%)

Rules

5896×	`-lowering-.f32`
5896×	`-lowering-.f64`
4826×	`-lowering-.f32`
4826×	`-lowering-.f64`
4608×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1307	27451
1	4867	24985
0	8059	24985
0	15	27
1	35	26
2	121	25
3	536	25
4	2879	25
5	4330	25
6	5816	25
0	8005	25
0	916	6428
1	3124	5848
0	8321	5848
0	400	4084
1	1330	3802
2	4025	3671
0	8621	3671
0	745	6694
1	2527	5775
0	8630	5775
0	26	143
1	181	134
2	1824	132
0	9383	132

Stop Event

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

Compiler

Compiled 589 to 370 computations (37.2% saved)

preprocess46.0ms (0.4%)

Compiler: Compiled 382 to 146 computations (61.8% saved)

analyze70.0ms (0.6%)

sample2.0s (16.2%)

preprocess294.0ms (2.4%)

explain172.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify295.0ms (2.4%)

localize443.0ms (3.6%)

series84.0ms (0.7%)

rewrite414.0ms (3.3%)

simplify527.0ms (4.2%)

eval430.0ms (3.5%)

prune109.0ms (0.9%)

simplify183.0ms (1.5%)

localize188.0ms (1.5%)

series181.0ms (1.5%)

rewrite404.0ms (3.2%)

simplify419.0ms (3.4%)

eval149.0ms (1.2%)

prune123.0ms (1%)

simplify182.0ms (1.5%)

localize153.0ms (1.2%)

series37.0ms (0.3%)

rewrite386.0ms (3.1%)

simplify452.0ms (3.6%)

eval149.0ms (1.2%)

prune148.0ms (1.2%)

simplify303.0ms (2.4%)

localize111.0ms (0.9%)

series17.0ms (0.1%)

rewrite371.0ms (3%)

simplify358.0ms (2.9%)

eval138.0ms (1.1%)

prune169.0ms (1.4%)

regimes72.0ms (0.6%)

regimes11.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes29.0ms (0.2%)

regimes15.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch3.0ms (0%)

bsearch5.0ms (0%)

bsearch5.0ms (0%)

bsearch5.0ms (0%)

bsearch0.0ms (0%)

bsearch26.0ms (0.2%)

simplify11.0ms (0.1%)

soundness2.7s (21.8%)

preprocess46.0ms (0.4%)

end0.0ms (0%)

Profiling