Metrics for Octave 3.8, jcobi/2

analyze75.0ms (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: 34.0ms

ival-div: 9.0ms (26.4% of total)

ival-add: 9.0ms (26.4% of total)

ival-mult: 6.0ms (17.6% of total)

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

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

ival-and: 1.0ms (2.9% of total)

const: 1.0ms (2.9% of total)

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

sample1.9s (16%)

Results

902.0ms	6606×	0	valid
323.0ms	1187×	1	valid
256.0ms	463×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 999.0ms

ival-add: 278.0ms (27.8% of total)

ival-div: 233.0ms (23.3% of total)

ival-mult: 218.0ms (21.8% of total)

ival->: 86.0ms (8.6% of total)

ival-sub: 72.0ms (7.2% of total)

backward-pass: 64.0ms (6.4% of total)

ival-and: 26.0ms (2.6% of total)

const: 21.0ms (2.1% of total)

Bogosity

preprocess245.0ms (2%)

Algorithm

2×	egg-herbie

Rules

2810×	`+-lowering-+.f64`
2810×	`+-lowering-+.f32`
2210×	`-lowering-.f32`
2210×	`-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	2882	25
5	4331	25
6	5822	25
0	8018	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 alpha beta) (/.f64 (-.f64 beta 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))

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) (sum4 alpha beta 2 (* 2 i))) (/ (- alpha beta) (+ alpha (fma 2 i beta))) 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)

explain235.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
77	-	-	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
46	-	-	`(+.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

98.0ms	422×	0	valid
56.0ms	64×	1	valid
14.0ms	26×	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: 19.0ms (38.8% of total)

ival-div: 13.0ms (26.5% of total)

ival-mult: 8.0ms (16.3% of total)

backward-pass: 5.0ms (10.2% 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
▶	68.6%	(/.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))
▶	73.4%	(/.f64 (+.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta 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))

Status

Accuracy

Program

▶

68.6%

(/.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))

▶

73.4%

(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta 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))

Compiler

Compiled 64 to 33 computations (48.4% saved)

simplify210.0ms (1.7%)

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 alpha beta)
✓	cost-diff	(.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta 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)))))))
✓	cost-diff	(+.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta 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))
✓	cost-diff	(/.f64 (+.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta 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))

Rules

3364×	`-lowering-.f32`
3364×	`-lowering-.f64`
2564×	`+-lowering-+.f64`
2564×	`+-lowering-+.f32`
1754×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	274
1	70	261
2	256	261
3	1534	261
4	3575	261
5	5776	261
0	8099	261

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize193.0ms (1.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	99.8%	(/.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	83.4%	(+.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	72.2%	(/.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	96.5%	(.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta 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)))))))
✓	accuracy	83.4%	(+.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta 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))
✓	accuracy	77.4%	(/.f64 (-.f64 beta 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))))))

Results

82.0ms	211×	0	valid
21.0ms	32×	1	valid
18.0ms	13×	2	valid

Compiler

Compiled 303 to 26 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add: 15.0ms (31.8% of total)

ival-div: 12.0ms (25.4% of total)

ival-mult: 12.0ms (25.4% of total)

backward-pass: 7.0ms (14.8% of total)

ival-sub: 2.0ms (4.2% of total)

const: 1.0ms (2.1% of total)

series84.0ms (0.7%)

Counts

11 → 360

Calls

Call 1

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

Calls

90 calls:

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

rewrite424.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3768×	`-lowering-.f32`
3768×	`-lowering-.f64`
2654×	`/-lowering-/.f32`
2654×	`/-lowering-/.f64`
1954×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	200
1	108	192
2	526	192
3	4337	192
0	8497	192

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1101

Calls

Call 1

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

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

simplify561.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

4200×	`-lowering-.f32`
4200×	`-lowering-.f64`
3170×	`+-lowering-+.f64`
3170×	`+-lowering-+.f32`
1842×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1279	27257
1	4752	23499
0	8229	23499

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* 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))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -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)))))))))))) (* 1/2 (/ (+ (* -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))))))))))))) (* (+ 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))) alpha)) (* 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))
(* 1/2 (+ 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 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
(+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* 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))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* i (+ (* -1/2 (* 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))))))) (* -1/2 (+ (* -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)))))))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -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 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -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))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
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(- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))))
(- (+ (* -1 (/ beta alpha)) (+ (* -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 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))))
-1
(- (* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1)
(- (* -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)) 1)
(- (* -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)) 1)
(* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* 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 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* 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))))))) (/ 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 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* beta (- (+ (* 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 (+ 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))))))) (/ 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
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -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 (/ 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)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (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 (+ 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))) beta)))
(/ (- 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))
(* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))
(+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))
(+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ 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 (/ (* 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))))) (* -1 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))
(+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* beta (- (* beta (- (* -1 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* -1 (/ 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 (/ (* 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)))))) (+ (* -1 (/ 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 (/ (* 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))))) (* -1 (/ (* alpha (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))
(/ 1 beta)
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 alpha) (* 4 i))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i)))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 alpha) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))))) beta)
(/ 1 beta)
(* -1 (/ (- (/ alpha beta) (+ 1 (+ (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta)) (* -1 (/ (+ alpha (* 2 i)) beta))))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta))) beta)) 1) beta))
(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* -1 (* 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 (+ (* -1 (/ (* (+ 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))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ 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 (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 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))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* -1 (/ (+ (/ 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 (+ (* 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))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ 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)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))) alpha)
(/ -1 alpha)
(* -1 (/ (+ 1 (* -1 (/ (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha) (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
(/ (- beta alpha) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(- (+ (* -1 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2)))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ 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) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ alpha beta))))
(- (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 3)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (+ (* 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) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ alpha beta))))
(* 1/4 (/ (- beta alpha) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (pow i 2))) (* 1/4 (- beta alpha))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (- beta alpha))) (+ (* -1/64 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))))) (pow i 2))
(* 1/4 (/ (- beta alpha) (pow i 2)))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (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))))
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)

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

eval296.0ms (2.5%)

Compiler: Compiled 94283 to 6209 computations (93.4% saved)

prune509.0ms (4.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	1587	12	1599
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1589	12	1601

Accuracy

99.9%

Counts

1601 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.5%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (*.f64 i #s(literal 4 binary64)))) alpha) #s(literal 2 binary64))
	64.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i))) (+.f64 (*.f64 #s(literal 2 binary64) i) alpha))) #s(literal 2 binary64))
▶	72.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	81.2%	(/.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))
	4.6%	(/.f64 (+.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 alpha alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.9%	(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.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))
	16.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (+.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))))) alpha))) alpha)
	73.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (-.f64 (.f64 i #s(literal -2 binary64)) (+.f64 alpha beta)) (-.f64 (+.f64 #s(literal -2 binary64) (*.f64 i #s(literal -2 binary64))) (+.f64 alpha beta))) (-.f64 beta alpha))))))
	22.9%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) (+.f64 (.f64 i #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) alpha)))) beta))
	33.0%	#s(literal 1 binary64)
▶	64.2%	#s(literal 1/2 binary64)

Compiler

Compiled 492 to 304 computations (38.2% saved)

simplify180.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (*.f64 i #s(literal 4 binary64)))) alpha)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (*.f64 i #s(literal 4 binary64)))) alpha) #s(literal 2 binary64))
✓	cost-diff	128	(*.f64 #s(literal 0 binary64) beta)
✓	cost-diff	128	(+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (*.f64 i #s(literal 4 binary64))))
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
✓	cost-diff	128	(/.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

2178×	`sum3-define`
2152×	`sum4-define`
2044×	`sum5-define`
1950×	`fma-lowering-fma.f32`
1950×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	179
1	71	158
2	160	158
3	333	158
4	546	158
5	866	158
6	1762	158
7	3324	157
8	5918	157
0	8294	157

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

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

localize235.0ms (2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 beta #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 0 binary64) beta)
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (*.f64 i #s(literal 4 binary64)))) alpha)
✓	accuracy	100.0%	(+.f64 beta alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
✓	accuracy	78.7%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #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 alpha beta)
✓	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	99.9%	(/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))

Results

106.0ms	198×	0	valid
75.0ms	50×	1	valid
11.0ms	8×	2	valid

Compiler

Compiled 204 to 33 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-add: 21.0ms (41.2% of total)

ival-div: 14.0ms (27.4% of total)

backward-pass: 6.0ms (11.8% of total)

ival-mult: 6.0ms (11.8% of total)

ival-sub: 2.0ms (3.9% of total)

const: 1.0ms (2% of total)

series89.0ms (0.7%)

Counts

20 → 468

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

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

Calls

117 calls:

Time	Variable		Point	Expression
37.0ms	beta	@	-inf	(/ (+ (/ (- beta alpha) (+ 2 (+ beta alpha))) 1) 2)
6.0ms	beta	@	-inf	(/ (/ (+ (* 0 beta) (+ (+ 2 (* beta 2)) (* i 4))) alpha) 2)
4.0ms	beta	@	-inf	(/ (+ (/ beta (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)
1.0ms	alpha	@	0	(/ (/ (+ (* 0 beta) (+ (+ 2 (* beta 2)) (* i 4))) alpha) 2)
1.0ms	alpha	@	inf	(/ (+ (/ (- beta alpha) (+ 2 (+ beta alpha))) 1) 2)

rewrite320.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3116×	`-lowering-.f32`
3116×	`-lowering-.f64`
2858×	`+-lowering-+.f64`
2858×	`+-lowering-+.f32`
1862×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	146
1	108	126
2	424	126
3	1940	124
0	8684	124

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1035

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

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

simplify376.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4646×	`+-lowering-+.f64`
4646×	`+-lowering-+.f32`
4588×	`-lowering-.f32`
4588×	`-lowering-.f64`
1866×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	908	6752
1	3129	6113
0	8350	6113

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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

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

eval266.0ms (2.2%)

Compiler: Compiled 30195 to 4537 computations (85% saved)

prune275.0ms (2.3%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1488	15	1503
Fresh	2	5	7
Picked	3	2	5
Done	0	0	0
Total	1493	22	1515

Accuracy

99.9%

Counts

1515 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))) alpha) #s(literal 2 binary64))
	15.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
	20.4%	(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))))
	72.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
▶	22.6%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i)) beta)) #s(literal 2 binary64))
	24.1%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal 2 binary64))
	64.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i))) (+.f64 (*.f64 #s(literal 2 binary64) i) alpha))) #s(literal 2 binary64))
▶	57.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
✓	72.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	27.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
	75.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	32.8%	(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	9.2%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
	16.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (+.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))))) alpha))) alpha)
	6.0%	(/.f64 beta alpha)
	73.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (-.f64 (.f64 i #s(literal -2 binary64)) (+.f64 alpha beta)) (-.f64 (+.f64 #s(literal -2 binary64) (*.f64 i #s(literal -2 binary64))) (+.f64 alpha beta))) (-.f64 beta alpha))))))
▶	81.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (*.f64 i #s(literal -2 binary64)))))))
	22.9%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) (+.f64 (.f64 i #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) alpha)))) beta))
▶	50.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 beta i)))
	33.0%	#s(literal 1 binary64)
✓	64.2%	#s(literal 1/2 binary64)
▶	3.5%	#s(literal 0 binary64)

Compiler

Compiled 692 to 439 computations (36.6% saved)

simplify219.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i))
✓	cost-diff	0	(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i)) beta)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i)) beta))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i)) beta)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) alpha)
✓	cost-diff	0	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 beta i)
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) (/.f64 beta i))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 beta i)))
✓	cost-diff	0	(/.f64 beta (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (*.f64 i #s(literal -2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (*.f64 i #s(literal -2 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (*.f64 i #s(literal -2 binary64))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (*.f64 i #s(literal -2 binary64)))))))

Rules

2052×	`sum5-define`
1944×	`sum4-define`
1814×	`fma-lowering-fma.f32`
1814×	`fma-lowering-fma.f64`
1750×	`fmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	173
1	66	167
2	150	166
3	354	165
4	998	163
5	3477	159
0	8007	159

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize263.0ms (2.2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) alpha)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	100.0%	(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) i)) beta)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) alpha)
✓	accuracy	100.0%	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
✓	accuracy	72.6%	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
✓	accuracy	100.0%	(/.f64 beta i)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 beta i)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (/.f64 beta i))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (*.f64 i #s(literal -2 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (*.f64 i #s(literal -2 binary64))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (*.f64 i #s(literal -2 binary64)))))))
✓	accuracy	99.9%	(/.f64 beta (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (*.f64 i #s(literal -2 binary64))))

Results

164.0ms	182×	0	valid
60.0ms	74×	1	valid

Compiler

Compiled 183 to 31 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 98.0ms (69.8% of total)

ival-div: 20.0ms (14.3% of total)

ival-add: 8.0ms (5.7% of total)

ival-sub: 7.0ms (5% of total)

backward-pass: 6.0ms (4.3% of total)

const: 1.0ms (0.7% of total)

series50.0ms (0.4%)

Counts

16 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
14.0ms	alpha	@	inf	(/ -2 (+ -1 (/ beta (+ (- (- -2 beta) alpha) (* i -2)))))
2.0ms	alpha	@	-inf	(/ (- 2 (/ (+ (+ 2 alpha) (* 2 i)) beta)) 2)
1.0ms	alpha	@	0	(/ -2 (+ -1 (/ beta (+ (- (- -2 beta) alpha) (* i -2)))))
1.0ms	i	@	0	(/ -2 (+ -1 (/ beta (+ (- (- -2 beta) alpha) (* i -2)))))
1.0ms	alpha	@	0	(/ (- 2 (/ (+ (+ 2 alpha) (* 2 i)) beta)) 2)

rewrite220.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2718×	`-lowering-.f32`
2718×	`-lowering-.f64`
1986×	`/-lowering-/.f32`
1986×	`/-lowering-/.f64`
1556×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	132
1	115	127
2	487	126
3	2184	124
0	8337	124

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 582

Calls

Call 1

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

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

simplify532.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

4702×	`-lowering-.f32`
4702×	`-lowering-.f64`
4260×	`+-lowering-+.f64`
4260×	`+-lowering-+.f32`
1846×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	853	6348
1	2997	5795
0	8157	5795

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

eval147.0ms (1.2%)

Compiler: Compiled 18042 to 2858 computations (84.2% saved)

prune257.0ms (2.1%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1016	8	1024
Fresh	1	14	15
Picked	3	2	5
Done	0	2	2
Total	1020	26	1046

Accuracy

99.9%

Counts

1046 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))) alpha) #s(literal 2 binary64))
▶	15.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64))
▶	20.4%	(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))))
	72.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	24.1%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal 2 binary64))
	23.9%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 2 binary64))
	24.3%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 i #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
	27.4%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 2 binary64))
	64.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i))) (+.f64 (*.f64 #s(literal 2 binary64) i) alpha))) #s(literal 2 binary64))
✓	57.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
✓	72.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	75.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	32.8%	(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	22.6%	(/.f64 (+.f64 beta (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha (.f64 i #s(literal 2 binary64)))))) beta)
	9.2%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
	16.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (+.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))))) alpha))) alpha)
	6.0%	(/.f64 beta alpha)
	73.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (-.f64 (.f64 i #s(literal -2 binary64)) (+.f64 alpha beta)) (-.f64 (+.f64 #s(literal -2 binary64) (*.f64 i #s(literal -2 binary64))) (+.f64 alpha beta))) (-.f64 beta alpha))))))
	22.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 #s(literal -2 binary64) alpha)) beta))))
	14.0%	(/.f64 #s(literal 1 binary64) alpha)
	22.9%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) (+.f64 (.f64 i #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) alpha)))) beta))
	56.6%	(+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 (.f64 alpha #s(literal 1/8 binary64)) #s(literal -1/4 binary64))))
	55.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
▶	33.0%	#s(literal 1 binary64)
✓	64.2%	#s(literal 1/2 binary64)
✓	3.5%	#s(literal 0 binary64)

Compiler

Compiled 748 to 480 computations (35.8% saved)

simplify383.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))))
✓	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 beta #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

5288×	`fma-define`
4828×	`fma-lowering-fma.f32`
4828×	`fma-lowering-fma.f64`
4112×	`-lowering-.f32`
4112×	`-lowering-.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	23	124
1	45	117
2	95	114
3	248	112
4	670	111
5	1743	110
6	3614	109
7	5651	108
8	6531	108
9	6897	108
10	7095	108
11	7133	108
12	7133	108
13	7674	108
14	7674	108
0	9477	108

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (/ beta (+ beta 2)) 1) 2)
(+ (/ beta (+ beta 2)) 1)
(/ beta (+ beta 2))
beta
(+ beta 2)
2
1
1
(/ (+ (/ 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 alpha) (/ 2 (+ (* beta 2) (+ 2 (* i 4)))))
(/ 1 alpha)
1
alpha
(/ 2 (+ (* beta 2) (+ 2 (* i 4))))
2
(+ (* beta 2) (+ 2 (* i 4)))
(* beta 2)
beta
(+ 2 (* i 4))
(* i 4)
i
4

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

localize163.0ms (1.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 beta #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))))
✓	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 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 beta #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))

Results

95.0ms

256×

valid

Compiler

Compiled 133 to 24 computations (82% saved)

Precisions

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

ival-div: 16.0ms (57.5% of total)

ival-add: 8.0ms (28.8% of total)

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

const: 1.0ms (3.6% of total)

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

series26.0ms (0.2%)

Counts

15 → 288

Calls

Call 1

Inputs
#<alt (/ (+ (/ beta (+ beta 2)) 1) 2)>
#<alt (+ (/ beta (+ beta 2)) 1)>
#<alt (/ beta (+ beta 2))>
#<alt (+ beta 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 alpha) (/ 2 (+ (* beta 2) (+ 2 (* i 4)))))>
#<alt (/ 2 (+ (* beta 2) (+ 2 (* i 4))))>
#<alt (/ 1 alpha)>
#<alt (+ (* beta 2) (+ 2 (* i 4)))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+ 1 (* 1/2 beta))>
#<alt (+ 1 (* beta (+ 1/2 (* -1/4 beta))))>
#<alt (+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (* -1/4 beta)))>
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))>
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ beta alpha)))>
#<alt (+ 1/2 (* 1/2 (/ beta alpha)))>
#<alt (+ 1/2 (* 1/2 (/ beta alpha)))>
#<alt (* 1/2 (/ beta alpha))>
#<alt (* beta (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))))>
#<alt (* 1/2 (/ beta alpha))>
#<alt (* beta (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))))>
#<alt (* 1/2 (/ beta alpha))>
#<alt (/ (+ (* 1/2 alpha) (* 1/2 beta)) alpha)>
#<alt (/ (+ (* 1/2 alpha) (* 1/2 beta)) alpha)>
#<alt (/ (+ (* 1/2 alpha) (* 1/2 beta)) alpha)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ beta alpha)))>
#<alt (+ 1/2 (* 1/2 (/ beta alpha)))>
#<alt (+ 1/2 (* 1/2 (/ beta alpha)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ beta alpha)))>
#<alt (+ 1/2 (* 1/2 (/ beta alpha)))>
#<alt (+ 1/2 (* 1/2 (/ beta alpha)))>
#<alt 1>
#<alt (+ 1 (/ beta alpha))>
#<alt (+ 1 (/ beta alpha))>
#<alt (+ 1 (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 beta)))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 beta)))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 beta)))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 beta)))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 beta)))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 beta)))>
#<alt (/ beta alpha)>
#<alt (/ (+ alpha beta) alpha)>
#<alt (/ (+ alpha beta) alpha)>
#<alt (/ (+ alpha beta) alpha)>
#<alt 1>
#<alt (+ 1 (/ beta alpha))>
#<alt (+ 1 (/ beta alpha))>
#<alt (+ 1 (/ beta alpha))>
#<alt 1>
#<alt (+ 1 (/ beta alpha))>
#<alt (+ 1 (/ beta alpha))>
#<alt (+ 1 (/ 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 (/ beta alpha)>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ 2 alpha)>
#<alt (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (* 2 (/ beta alpha))>
#<alt (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* 2 (/ beta alpha))>
#<alt (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt 2>
#<alt (+ 2 (* 2 beta))>
#<alt (+ 2 (* 2 beta))>
#<alt (+ 2 (* 2 beta))>
#<alt (* 2 beta)>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* 2 beta)>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (* 1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (* beta (+ (* 1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (* beta (+ (* 1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (/ beta alpha)>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))>
#<alt (* 2 (/ i alpha))>
#<alt (* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))>
#<alt (* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))>
#<alt (* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))>
#<alt (* 2 (/ i alpha))>
#<alt (* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))>
#<alt (/ 2 (+ 2 (* 4 i)))>
#<alt (+ (* -4 (/ beta (pow (+ 2 (* 4 i)) 2))) (* 2 (/ 1 (+ 2 (* 4 i)))))>
#<alt (+ (* beta (- (* 8 (/ beta (pow (+ 2 (* 4 i)) 3))) (* 4 (/ 1 (pow (+ 2 (* 4 i)) 2))))) (* 2 (/ 1 (+ 2 (* 4 i)))))>
#<alt (+ (* beta (- (* beta (+ (* -16 (/ beta (pow (+ 2 (* 4 i)) 4))) (* 8 (/ 1 (pow (+ 2 (* 4 i)) 3))))) (* 4 (/ 1 (pow (+ 2 (* 4 i)) 2))))) (* 2 (/ 1 (+ 2 (* 4 i)))))>
#<alt (/ 1 beta)>
#<alt (/ (+ 1 (* -1/2 (/ (+ 2 (* 4 i)) beta))) beta)>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 (* 4 i)) beta))) beta)>
#<alt (/ (- (+ 1 (* -1/8 (/ (pow (+ 2 (* 4 i)) 3) (pow beta 3)))) (+ (* -1/4 (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2))) (* 1/2 (/ (+ 2 (* 4 i)) beta)))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (* 1/2 (/ (+ 2 (* 4 i)) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 2 (* 4 i)) 2) beta)) (* 1/2 (+ 2 (* 4 i)))) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (* 4 i)) 3) beta)) (* 1/4 (pow (+ 2 (* 4 i)) 2))) beta)) (* 1/2 (+ 2 (* 4 i)))) beta)) 1) beta))>
#<alt (/ 2 (+ 2 (* 2 beta)))>
#<alt (+ (* -8 (/ i (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* i (- (* 32 (/ i (pow (+ 2 (* 2 beta)) 3))) (* 8 (/ 1 (pow (+ 2 (* 2 beta)) 2))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* i (- (* i (+ (* -128 (/ i (pow (+ 2 (* 2 beta)) 4))) (* 32 (/ 1 (pow (+ 2 (* 2 beta)) 3))))) (* 8 (/ 1 (pow (+ 2 (* 2 beta)) 2))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (/ 1/2 i)>
#<alt (/ (+ 1/2 (* -1/8 (/ (+ 2 (* 2 beta)) i))) i)>
#<alt (/ (- (+ 1/2 (* 1/32 (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2)))) (* 1/8 (/ (+ 2 (* 2 beta)) i))) i)>
#<alt (/ (- (+ 1/2 (* -1/128 (/ (pow (+ 2 (* 2 beta)) 3) (pow i 3)))) (+ (* -1/32 (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))) (* 1/8 (/ (+ 2 (* 2 beta)) i)))) i)>
#<alt (/ 1/2 i)>
#<alt (* -1 (/ (- (* 1/8 (/ (+ 2 (* 2 beta)) i)) 1/2) i))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ (pow (+ 2 (* 2 beta)) 2) i)) (* 1/8 (+ 2 (* 2 beta)))) i)) 1/2) i))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ (pow (+ 2 (* 2 beta)) 3) i)) (* 1/32 (pow (+ 2 (* 2 beta)) 2))) i)) (* 1/8 (+ 2 (* 2 beta)))) i)) 1/2) i))>
#<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 (+ 2 (* 4 i))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (* 2 beta)>
#<alt (* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))>
#<alt (* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))>
#<alt (* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))>
#<alt (* 2 beta)>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))>
#<alt (+ 2 (* 2 beta))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (* 4 i)>
#<alt (* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))>
#<alt (* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))>
#<alt (* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))>
#<alt (* 4 i)>
#<alt (* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))>
#<alt (* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))>
#<alt (* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))>

Calls

72 calls:

Time	Variable		Point	Expression
13.0ms	beta	@	-inf	(/ 2 (+ (* beta 2) (+ 2 (* i 4))))
1.0ms	alpha	@	inf	(/ (/ (+ 2 (* beta 2)) alpha) 2)
1.0ms	alpha	@	0	(/ (/ (+ 2 (* beta 2)) alpha) 2)
0.0ms	beta	@	inf	(/ (+ (/ beta alpha) 1) 2)
0.0ms	beta	@	0	(/ (/ (+ 2 (* beta 2)) alpha) 2)

rewrite333.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2988×	`-lowering-.f32`
2988×	`-lowering-.f64`
2054×	`+-lowering-+.f64`
2054×	`+-lowering-+.f32`
1824×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	96
1	101	89
2	483	87
3	2492	83
0	8550	83

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 874

Calls

Call 1

Inputs
(/ (+ (/ beta (+ beta 2)) 1) 2)
(+ (/ beta (+ beta 2)) 1)
(/ beta (+ beta 2))
(+ beta 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 alpha) (/ 2 (+ (* beta 2) (+ 2 (* i 4)))))
(/ 2 (+ (* beta 2) (+ 2 (* i 4))))
(/ 1 alpha)
(+ (* beta 2) (+ 2 (* i 4)))

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

simplify381.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

5602×	`-lowering-.f32`
5602×	`-lowering-.f64`
2436×	`+-lowering-+.f64`
2436×	`+-lowering-+.f32`
2066×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	2274
1	1018	2082
2	2728	1916
0	8572	1916

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
1
(+ 1 (* 1/2 beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
2
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
2
(- 2 (* 2 (/ 1 beta)))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
1/2
(+ 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 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))
(+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))
(+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))
(/ beta alpha)
(* beta (+ (* 1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* beta (+ (* 1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* beta (+ (* 1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))
(/ beta alpha)
(* -1 (* beta (- (* -1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(* 2 (/ i alpha))
(* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))
(* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))
(* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))
(* 2 (/ i alpha))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(/ 2 (+ 2 (* 4 i)))
(+ (* -4 (/ beta (pow (+ 2 (* 4 i)) 2))) (* 2 (/ 1 (+ 2 (* 4 i)))))
(+ (* beta (- (* 8 (/ beta (pow (+ 2 (* 4 i)) 3))) (* 4 (/ 1 (pow (+ 2 (* 4 i)) 2))))) (* 2 (/ 1 (+ 2 (* 4 i)))))
(+ (* beta (- (* beta (+ (* -16 (/ beta (pow (+ 2 (* 4 i)) 4))) (* 8 (/ 1 (pow (+ 2 (* 4 i)) 3))))) (* 4 (/ 1 (pow (+ 2 (* 4 i)) 2))))) (* 2 (/ 1 (+ 2 (* 4 i)))))
(/ 1 beta)
(/ (+ 1 (* -1/2 (/ (+ 2 (* 4 i)) beta))) beta)
(/ (- (+ 1 (* 1/4 (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 (* 4 i)) beta))) beta)
(/ (- (+ 1 (* -1/8 (/ (pow (+ 2 (* 4 i)) 3) (pow beta 3)))) (+ (* -1/4 (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2))) (* 1/2 (/ (+ 2 (* 4 i)) beta)))) beta)
(/ 1 beta)
(* -1 (/ (- (* 1/2 (/ (+ 2 (* 4 i)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 2 (* 4 i)) 2) beta)) (* 1/2 (+ 2 (* 4 i)))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (* 4 i)) 3) beta)) (* 1/4 (pow (+ 2 (* 4 i)) 2))) beta)) (* 1/2 (+ 2 (* 4 i)))) beta)) 1) beta))
(/ 2 (+ 2 (* 2 beta)))
(+ (* -8 (/ i (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* i (- (* 32 (/ i (pow (+ 2 (* 2 beta)) 3))) (* 8 (/ 1 (pow (+ 2 (* 2 beta)) 2))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* i (- (* i (+ (* -128 (/ i (pow (+ 2 (* 2 beta)) 4))) (* 32 (/ 1 (pow (+ 2 (* 2 beta)) 3))))) (* 8 (/ 1 (pow (+ 2 (* 2 beta)) 2))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(/ 1/2 i)
(/ (+ 1/2 (* -1/8 (/ (+ 2 (* 2 beta)) i))) i)
(/ (- (+ 1/2 (* 1/32 (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2)))) (* 1/8 (/ (+ 2 (* 2 beta)) i))) i)
(/ (- (+ 1/2 (* -1/128 (/ (pow (+ 2 (* 2 beta)) 3) (pow i 3)))) (+ (* -1/32 (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))) (* 1/8 (/ (+ 2 (* 2 beta)) i)))) i)
(/ 1/2 i)
(* -1 (/ (- (* 1/8 (/ (+ 2 (* 2 beta)) i)) 1/2) i))
(* -1 (/ (- (* -1 (/ (- (* 1/32 (/ (pow (+ 2 (* 2 beta)) 2) i)) (* 1/8 (+ 2 (* 2 beta)))) i)) 1/2) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ (pow (+ 2 (* 2 beta)) 3) i)) (* 1/32 (pow (+ 2 (* 2 beta)) 2))) i)) (* 1/8 (+ 2 (* 2 beta)))) i)) 1/2) i))
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(+ 2 (* 4 i))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(* 2 beta)
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* 2 beta)
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(+ 2 (* 2 beta))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(* 4 i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* 4 i)
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 beta #s(literal -1/8 binary64)))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 beta (+.f64 #s(literal -1/8 binary64) (*.f64 beta #s(literal 1/16 binary64)))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)) (/.f64 #s(literal -4 binary64) (.f64 beta (.f64 beta beta))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 beta))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta #s(literal -1/4 binary64)))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
(+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal 1/8 binary64)))))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) (/.f64 #s(literal -8 binary64) (.f64 beta (.f64 beta beta))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) beta) #s(literal -4 binary64)) beta)) beta))
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* beta (+ 1/2 (* -1/4 beta)))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta #s(literal -1/4 binary64))))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal 1/8 binary64))))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal -1/4 binary64) (.f64 beta (+.f64 #s(literal 1/8 binary64) (.f64 beta #s(literal -1/16 binary64))))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) (/.f64 #s(literal -8 binary64) (.f64 beta (.f64 beta beta))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta))
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(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))) (.f64 beta (+.f64 (/.f64 #s(literal -4 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))) (/.f64 (.f64 beta #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))))))))
(+ (* beta (- (* beta (+ (* -16 (/ beta (pow (+ 2 (* 4 i)) 4))) (* 8 (/ 1 (pow (+ 2 (* 4 i)) 3))))) (* 4 (/ 1 (pow (+ 2 (* 4 i)) 2))))) (* 2 (/ 1 (+ 2 (* 4 i)))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))) (.f64 beta (+.f64 (.f64 beta (+.f64 (/.f64 (.f64 beta #s(literal -16 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))))))) (/.f64 #s(literal -4 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)))))))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (+ 1 (* -1/2 (/ (+ 2 (* 4 i)) beta))) beta)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)) beta)) beta)
(/ (- (+ 1 (* 1/4 (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 (* 4 i)) beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))) beta) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) beta)) beta)
(/ (- (+ 1 (* -1/8 (/ (pow (+ 2 (* 4 i)) 3) (pow beta 3)))) (+ (* -1/4 (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2))) (* 1/2 (/ (+ 2 (* 4 i)) beta)))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))))) (.f64 beta (.f64 beta beta))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))) beta) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) beta))) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (* 1/2 (/ (+ 2 (* 4 i)) beta)) 1) beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)) beta)) beta)
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 2 (* 4 i)) 2) beta)) (* 1/2 (+ 2 (* 4 i)))) beta)) 1) beta))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))) beta) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) beta)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (* 4 i)) 3) beta)) (* 1/4 (pow (+ 2 (* 4 i)) 2))) beta)) (* 1/2 (+ 2 (* 4 i)))) beta)) 1) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i))))) beta)) beta) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) beta)) beta)
(/ 2 (+ 2 (* 2 beta)))
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* -8 (/ i (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 i (+.f64 beta #s(literal 1 binary64))) #s(literal -4 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (* i (- (* 32 (/ i (pow (+ 2 (* 2 beta)) 3))) (* 8 (/ 1 (pow (+ 2 (* 2 beta)) 2))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 i (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))))) (/.f64 (.f64 (/.f64 i (+.f64 beta #s(literal 1 binary64))) #s(literal 16 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(+ (* i (- (* i (+ (* -128 (/ i (pow (+ 2 (* 2 beta)) 4))) (* 32 (/ 1 (pow (+ 2 (* 2 beta)) 3))))) (* 8 (/ 1 (pow (+ 2 (* 2 beta)) 2))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 i (+.f64 (.f64 i (+.f64 (/.f64 (.f64 i #s(literal -128 binary64)) (pow.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 32 binary64) (.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64))))))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))))))))
(/ 1/2 i)
(/.f64 #s(literal 1/2 binary64) i)
(/ (+ 1/2 (* -1/8 (/ (+ 2 (* 2 beta)) i))) i)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal -1/4 binary64))) i)) i)
(/ (- (+ 1/2 (* 1/32 (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2)))) (* 1/8 (/ (+ 2 (* 2 beta)) i))) i)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1/16 binary64))) i) (+.f64 #s(literal -1/4 binary64) (.f64 beta #s(literal -1/4 binary64)))) i)) i)
(/ (- (+ 1/2 (* -1/128 (/ (pow (+ 2 (* 2 beta)) 3) (pow i 3)))) (+ (* -1/32 (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))) (* 1/8 (/ (+ 2 (* 2 beta)) i)))) i)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 i i)) (.f64 (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) i) #s(literal -1/128 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1/16 binary64))) i) (+.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal -1/4 binary64)))) i)) i)
(/ 1/2 i)
(/.f64 #s(literal 1/2 binary64) i)
(* -1 (/ (- (* 1/8 (/ (+ 2 (* 2 beta)) i)) 1/2) i))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal -1/4 binary64))) i)) i)
(* -1 (/ (- (* -1 (/ (- (* 1/32 (/ (pow (+ 2 (* 2 beta)) 2) i)) (* 1/8 (+ 2 (* 2 beta)))) i)) 1/2) i))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) beta)) (/.f64 (.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1/16 binary64))) i)) (-.f64 #s(literal 0 binary64) i))) i)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ (pow (+ 2 (* 2 beta)) 3) i)) (* 1/32 (pow (+ 2 (* 2 beta)) 2))) i)) (* 1/8 (+ 2 (* 2 beta)))) i)) 1/2) i))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1/16 binary64))) (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)))) i))) i) (+.f64 #s(literal -1/4 binary64) (.f64 beta #s(literal -1/4 binary64)))) i)) i)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ 2 (* 4 i))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))
(* 2 beta)
(*.f64 beta #s(literal 2 binary64))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(+.f64 #s(literal 2 binary64) (.f64 beta (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) i) beta))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(+.f64 #s(literal 2 binary64) (.f64 beta (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) i) beta))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(+.f64 #s(literal 2 binary64) (.f64 beta (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) i) beta))))
(* 2 beta)
(*.f64 beta #s(literal 2 binary64))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(.f64 beta (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(.f64 beta (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(.f64 beta (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)) beta))))
(+ 2 (* 2 beta))
(*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) i)))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(.f64 i (+.f64 #s(literal 4 binary64) (.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) i))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(.f64 i (+.f64 #s(literal 4 binary64) (.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) i))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(.f64 i (+.f64 #s(literal 4 binary64) (.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) i))))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(.f64 i (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4 binary64) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) i))))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(.f64 i (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4 binary64) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) i))))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(.f64 i (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4 binary64) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) i))))

eval172.0ms (1.4%)

Compiler: Compiled 15254 to 2343 computations (84.6% saved)

prune205.0ms (1.7%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	1178	5	1183
Fresh	2	15	17
Picked	2	3	5
Done	0	4	4
Total	1182	27	1209

Accuracy

99.9%

Counts

1209 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.2%	(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1/2 binary64) i))
	72.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	24.1%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal 2 binary64))
	24.3%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 i #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
	27.4%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 2 binary64))
	64.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal 2 binary64) i))) (+.f64 (*.f64 #s(literal 2 binary64) i) alpha))) #s(literal 2 binary64))
✓	57.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64))
✓	72.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	75.2%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	32.8%	(/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	22.6%	(/.f64 (+.f64 beta (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha (.f64 i #s(literal 2 binary64)))))) beta)
	15.7%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	18.7%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)) alpha)
	9.2%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
	16.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 beta beta) (+.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (+.f64 beta (.f64 #s(literal 2 binary64) i))) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 0 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64))))))) alpha))) alpha)
	6.0%	(/.f64 beta alpha)
	73.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (-.f64 (.f64 i #s(literal -2 binary64)) (+.f64 alpha beta)) (-.f64 (+.f64 #s(literal -2 binary64) (*.f64 i #s(literal -2 binary64))) (+.f64 alpha beta))) (-.f64 beta alpha))))))
	22.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 #s(literal -2 binary64) alpha)) beta))))
	14.0%	(/.f64 #s(literal 1 binary64) alpha)
	24.3%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
	22.9%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) (+.f64 (.f64 i #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) alpha)))) beta))
	56.6%	(+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 (.f64 alpha #s(literal 1/8 binary64)) #s(literal -1/4 binary64))))
	55.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
	54.4%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
✓	33.0%	#s(literal 1 binary64)
✓	64.2%	#s(literal 1/2 binary64)
✓	3.5%	#s(literal 0 binary64)

Compiler

Compiled 895 to 432 computations (51.7% saved)

regimes91.0ms (0.8%)

Counts

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

Outputs

(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 0 binary64) beta) (+.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 (/.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))

Calls

7 calls:

19.0ms	alpha
14.0ms	(*.f64 #s(literal 2 binary64) i)
12.0ms	beta
12.0ms	(/.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)))
11.0ms	i

Results

Accuracy	Segments	Branch
89.6%	2	`alpha`
81.2%	1	`beta`
82.9%	2	`i`
97.4%	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))`
97.4%	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))`
97.4%	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)))`
82.9%	2	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes13.0ms (0.1%)

Counts

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

Outputs

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

Calls

1 calls:

10.0ms

alpha

Results

Accuracy	Segments	Branch
89.5%	2	`alpha`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Counts

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

Calls

1 calls:

10.0ms

alpha

Results

Accuracy	Segments	Branch
88.3%	2	`alpha`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts

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

Outputs
(/.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 #s(literal 2 binary64) i)) alpha)

Calls

1 calls:

9.0ms

alpha

Results

Accuracy	Segments	Branch
83.0%	2	`alpha`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts

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

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

Calls

4 calls:

6.0ms	beta
6.0ms	alpha
5.0ms	(*.f64 #s(literal 2 binary64) i)
5.0ms	i

Results

Accuracy	Segments	Branch
75.7%	2	`beta`
64.2%	1	`i`
64.2%	1	`(*.f64 #s(literal 2 binary64) i)`
72.5%	2	`alpha`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes3.0ms (0%)

Counts

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
75.6%	2	`beta`

Compiler

Compiled 4 to 3 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
64.2%	1	`alpha`
64.2%	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	i
1.0ms	alpha
1.0ms	beta

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999985570539972	-0.196635270535735

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch43.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	4.474453252922247e+106	1.788049921275158e+114

Results

18.0ms	71×	1	valid
16.0ms	73×	0	valid

Compiler

Compiled 380 to 263 computations (30.8% saved)

Precisions

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

ival-div: 13.0ms (49.5% of total)

ival-add: 7.0ms (26.7% of total)

backward-pass: 2.0ms (7.6% of total)

ival-mult: 2.0ms (7.6% of total)

ival-sub: 1.0ms (3.8% of total)

const: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8733189435433157e+143	4.539746374090437e+143

Results

10.0ms	45×	1	valid
3.0ms	35×	0	valid

Compiler

Compiled 188 to 130 computations (30.9% saved)

Precisions

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

ival-add: 3.0ms (35.3% of total)

ival-div: 2.0ms (23.5% of total)

ival-mult: 1.0ms (11.8% of total)

ival-sub: 1.0ms (11.8% of total)

backward-pass: 1.0ms (11.8% of total)

const: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	4.3371596084466035e+73	3.6443980242875505e+81

Results

12.0ms	56×	1	valid
8.0ms	88×	0	valid

Compiler

Compiled 254 to 191 computations (24.8% saved)

Precisions

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

ival-div: 4.0ms (30.5% of total)

ival-add: 4.0ms (30.5% of total)

ival-mult: 2.0ms (15.3% of total)

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

backward-pass: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	609063289585.5587	95607228848190.69

Results

8.0ms	88×	0	valid
4.0ms	12×	2	valid
4.0ms	12×	1	valid

Compiler

Compiled 136 to 104 computations (23.5% saved)

Precisions

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

ival-div: 3.0ms (31.5% of total)

ival-add: 3.0ms (31.5% of total)

ival-mult: 2.0ms (21% of total)

ival-sub: 1.0ms (10.5% of total)

backward-pass: 1.0ms (10.5% of total)

const: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	609063289585.5587	95607228848190.69

Results

8.0ms	83×	0	valid
5.0ms	22×	1	valid
2.0ms	7×	2	valid

Compiler

Compiled 108 to 90 computations (16.7% saved)

Precisions

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

ival-div: 3.0ms (31% of total)

ival-add: 3.0ms (31% of total)

ival-mult: 2.0ms (20.6% of total)

ival-sub: 1.0ms (10.3% of total)

backward-pass: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative_binary64`
22×	`unsub-neg_binary64`
22×	`neg-mul-1_binary64`
18×	`*-commutative_binary64`
12×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	158
1	81	158
2	92	158
3	100	158
4	108	158
5	124	158
6	148	158

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 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64)))) alpha) #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)))
(if (<=.f64 alpha #s(literal 15200000000000000308192190060991558609259577246515726633573783354143832065051870652161027473221469664824000512 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 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))))
(if (<=.f64 alpha #s(literal 259999999999999988844626824994194520561162410341184222265369175955408136865427970026343009551021512473789913823926067071011218915399097278005248 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 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) i)) alpha))
(if (<=.f64 alpha #s(literal 21999999999999998952731253550268933859048251423159854812638081034276634418479104 binary64)) (/.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 #s(literal 2 binary64) i)) alpha))
(if (<=.f64 beta #s(literal 3800000000000 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(if (<=.f64 beta #s(literal 29000000000000 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 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 i #s(literal 4 binary64)))) alpha) #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)))
(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 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 15200000000000000308192190060991558609259577246515726633573783354143832065051870652161027473221469664824000512 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 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))))
(if (<=.f64 alpha #s(literal 15200000000000000308192190060991558609259577246515726633573783354143832065051870652161027473221469664824000512 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))))
(if (<=.f64 alpha #s(literal 259999999999999988844626824994194520561162410341184222265369175955408136865427970026343009551021512473789913823926067071011218915399097278005248 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 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) i)) alpha))
(if (<=.f64 alpha #s(literal 259999999999999988844626824994194520561162410341184222265369175955408136865427970026343009551021512473789913823926067071011218915399097278005248 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 21999999999999998952731253550268933859048251423159854812638081034276634418479104 binary64)) (/.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 #s(literal 2 binary64) i)) alpha))
(if (<=.f64 alpha #s(literal 21999999999999998952731253550268933859048251423159854812638081034276634418479104 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 3800000000000 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(if (<=.f64 beta #s(literal 29000000000000 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

soundness1.8s (14.8%)

Rules

5602×	`-lowering-.f32`
5602×	`-lowering-.f64`
4646×	`+-lowering-+.f64`
4646×	`+-lowering-+.f32`
4588×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	2274
1	1018	2082
2	2728	1916
0	8572	1916
0	1279	27257
1	4752	23499
0	8229	23499
0	31	146
1	108	126
2	424	126
3	1940	124
0	8684	124
0	15	27
1	35	26
2	121	25
3	536	25
4	2882	25
5	4331	25
6	5822	25
0	8018	25
0	908	6752
1	3129	6113
0	8350	6113

Stop Event

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

Compiler

Compiled 494 to 312 computations (36.8% saved)

preprocess50.0ms (0.4%)

Compiler: Compiled 386 to 146 computations (62.2% saved)

analyze75.0ms (0.6%)

sample1.9s (16%)

preprocess245.0ms (2%)

explain235.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify210.0ms (1.7%)

localize193.0ms (1.6%)

series84.0ms (0.7%)

rewrite424.0ms (3.5%)

simplify561.0ms (4.7%)

eval296.0ms (2.5%)

prune509.0ms (4.2%)

simplify180.0ms (1.5%)

localize235.0ms (2%)

series89.0ms (0.7%)

rewrite320.0ms (2.7%)

simplify376.0ms (3.1%)

eval266.0ms (2.2%)

prune275.0ms (2.3%)

simplify219.0ms (1.8%)

localize263.0ms (2.2%)

series50.0ms (0.4%)

rewrite220.0ms (1.8%)

simplify532.0ms (4.4%)

eval147.0ms (1.2%)

prune257.0ms (2.1%)

simplify383.0ms (3.2%)

localize163.0ms (1.4%)

series26.0ms (0.2%)

rewrite333.0ms (2.8%)

simplify381.0ms (3.2%)

eval172.0ms (1.4%)

prune205.0ms (1.7%)

regimes91.0ms (0.8%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes23.0ms (0.2%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch43.0ms (0.4%)

bsearch54.0ms (0.4%)

bsearch29.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch23.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.8s (14.8%)

preprocess50.0ms (0.4%)

end0.0ms (0%)

Profiling