Metrics for Octave 3.8, jcobi/4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze49.0ms (0.4%)

Memory

-20.3MiB live, 25.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	14%	86%	0%	0%	0%	0
0%	0%	14%	86%	0%	0%	0%	1
0%	0%	14%	86%	0%	0%	0%	2
25%	3.5%	10.5%	86%	0%	0%	0%	3
62.5%	8.8%	5.3%	86%	0%	0%	0%	4
75%	10.5%	3.5%	86%	0%	0%	0%	5
84.4%	11.8%	2.2%	86%	0%	0%	0%	6
92.2%	12.9%	1.1%	86%	0%	0%	0%	7
93.8%	13.2%	0.9%	86%	0%	0%	0%	8
95.7%	13.4%	0.6%	86%	0%	0%	0%	9
97.9%	13.7%	0.3%	86%	0%	0%	0%	10
98.4%	13.8%	0.2%	86%	0%	0%	0%	11
99%	13.9%	0.1%	86%	0%	0%	0%	12

Compiler

Compiled 65 to 24 computations (63.1% saved)

sample1.5s (11.6%)

Memory

64.5MiB live, 2 740.0MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 772.0ms

ival-mult: 298.0ms (38.6% of total)

ival-add: 210.0ms (27.2% of total)

ival-div: 96.0ms (12.4% of total)

ival->: 88.0ms (11.4% of total)

ival-sub: 46.0ms (6% of total)

ival-and: 17.0ms (2.2% of total)

exact: 14.0ms (1.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain278.0ms (2.1%)

Memory

-17.6MiB live, 374.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/o	166	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	151
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	216
↳	`(*.f64 beta alpha)`	overflow	19
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	298
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`	o/o	126	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	151
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	216
↳	`(*.f64 beta alpha)`	overflow	19
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	298
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
↳	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	overflow	126
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	166
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/n	50	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	151
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	216
↳	`(*.f64 beta alpha)`	overflow	19
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	298
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`	n/o	25	0
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	166
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166

Confusion

	Predicted +	Predicted -
+	216	0
-	0	40

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	216	0	0
-	0	0	40

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	40
1	65
2	151

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

83.0ms

512×

valid

Compiler

Compiled 426 to 55 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-add: 37.0ms (59.4% of total)

ival-mult: 17.0ms (27.3% of total)

ival-div: 6.0ms (9.6% of total)

ival-sub: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess281.0ms (2.1%)

Memory

11.1MiB live, 361.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 580×	`lower-fma.f64`
12 580×	`lower-fma.f32`
4 108×	`lower-*.f32`
4 098×	`lower-*.f64`
3 894×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	508
1	377	482
2	2068	478
0	17	53
0	29	53
1	76	53
2	324	53
3	2002	53
4	6883	53
0	8193	47

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 56 to 17 computations (69.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.2%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

16.2%

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

Compiler

Compiled 56 to 17 computations (69.6% saved)

simplify266.0ms (2%)

Memory

11.2MiB live, 439.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12 580×	`lower-fma.f64`
12 580×	`lower-fma.f32`
4 108×	`lower-*.f32`
4 098×	`lower-*.f64`
3 894×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	183
0	29	183
1	76	183
2	324	183
3	2002	183
4	6883	183
0	8193	166

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (0.4%)

Memory

2.6MiB live, 123.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.08041000976844202	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
accuracy	36.048010782296224	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	46.26311668093688	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))

Samples

32.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (41.3% of total)

ival-add: 6.0ms (35.4% of total)

ival-div: 3.0ms (17.7% of total)

ival-sub: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.5%)

Memory

32.5MiB live, 148.6MiB allocated

Counts

7 → 252

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ())
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Outputs
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#s(alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) (taylor -inf beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (pow (+ alpha beta) 2) (taylor 0 i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) (taylor 0 i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) (taylor 0 i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) (taylor 0 i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
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#s(alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) (taylor -inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) (taylor -inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) (taylor -inf i) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())

Calls

63 calls:

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

simplify832.0ms (6.3%)

Memory

-18.2MiB live, 390.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 164×	`lower-fma.f64`
9 164×	`lower-fma.f32`
5 962×	`lower-+.f64`
5 962×	`lower-+.f32`
4 964×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1089	12630
1	3841	11840
0	8260	10972

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

Inputs
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* i (+ alpha i))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(* beta (+ alpha i))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* -1 (* beta (+ (* -1 alpha) (* -1 i))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* i (+ beta i))
(+ (* alpha (+ beta i)) (* i (+ beta i)))
(+ (* alpha (+ beta i)) (* i (+ beta i)))
(+ (* alpha (+ beta i)) (* i (+ beta i)))
(* alpha (+ beta i))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* -1 (* alpha (+ (* -1 beta) (* -1 i))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* alpha beta)
(+ (* alpha beta) (* i (+ alpha beta)))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(+ beta (* 2 i))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
(+ alpha (* 2 i))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(+ alpha beta)
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(+ alpha (+ beta (* 2 i)))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* 2 i)
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(- (pow (+ beta (* 2 i)) 2) 1)
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(- (pow (+ alpha (* 2 i)) 2) 1)
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(- (pow (+ alpha beta) 2) 1)
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(/ (* alpha (* beta i)) (+ alpha beta))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(* i (+ alpha i))
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))
(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(* alpha (* beta (* i (+ alpha beta))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(* (pow i 2) (pow (+ beta i) 2))
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(* (pow alpha 2) (* i (+ beta i)))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* (pow i 2) (pow (+ alpha i) 2))
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(* (pow beta 2) (* i (+ alpha i)))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(pow (+ beta (* 2 i)) 2)
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(pow (+ alpha (* 2 i)) 2)
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(pow (+ alpha beta) 2)
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))

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

rewrite676.0ms (5.1%)

Memory

-50.2MiB live, 423.1MiB allocated

Rules

5 174×	`lower-fma.f64`
5 174×	`lower-fma.f32`
4 888×	`lower-/.f32`
4 884×	`lower-/.f64`
4 186×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	157
0	29	127
1	146	127
2	1503	127
0	8201	117

Stop Event

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

Counts

7 → 609

Calls

Call 1

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

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

eval256.0ms (1.9%)

Memory: 56.6MiB live, 536.7MiB allocated
Compiler: Compiled 120 180 to 4 604 computations (96.2% saved)

prune297.0ms (2.2%)

Memory

-31.7MiB live, 542.8MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1 382	14	1 396
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 383	14	1 397

Accuracy

84.9%

Counts

1 397 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.2%	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
▶	15.7%	(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	15.7%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (.f64 i i) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta (.f64 i #s(literal 2 binary64))))) #s(literal -1 binary64)))
	37.5%	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	38.1%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	18.2%	(.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))))
	42.3%	(.f64 (pow.f64 (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 i (+.f64 i (+.f64 alpha beta))))) #s(literal -1 binary64)) (pow.f64 (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) #s(literal -1 binary64)))
	37.5%	(.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	42.5%	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	37.3%	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	14.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
▶	13.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
▶	70.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 1 210 to 452 computations (62.6% saved)

simplify232.0ms (1.7%)

Memory

-3.9MiB live, 325.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))
cost-diff	0	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	384	(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
cost-diff	384	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(+.f64 i (+.f64 alpha beta))
cost-diff	0	(.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))
cost-diff	0	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	384	(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff	128	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
cost-diff	128	(+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))
cost-diff	704	(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))
cost-diff	704	(.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))
cost-diff	0	(+.f64 alpha i)
cost-diff	0	(*.f64 i (+.f64 alpha i))
cost-diff	0	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Rules

7 948×	`lower-fma.f32`
7 942×	`lower-fma.f64`
4 626×	`lower-*.f32`
4 602×	`lower-*.f64`
3 750×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	753
0	85	744
1	236	744
2	815	674
3	4448	648
4	6551	642
0	8206	638

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(*.f64 i (+.f64 alpha i))
i
(+.f64 alpha i)
alpha
(*.f64 beta beta)
beta
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))))
(.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))
(*.f64 i i)
i
(+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))
#s(literal 1/4 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)
(.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))
(*.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 1 binary64)
(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))
(+.f64 i (+.f64 alpha beta))
i
(+.f64 alpha beta)
alpha
beta
(.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))
(fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))
(*.f64 alpha beta)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))
(+.f64 i (+.f64 alpha beta))
i
(+.f64 alpha beta)
alpha
beta
(.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))
(fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))
(*.f64 alpha beta)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta)))
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(*.f64 i (+.f64 alpha i))
(*.f64 i (+.f64 i alpha))
i
(+.f64 alpha i)
(+.f64 i alpha)
alpha
(*.f64 beta beta)
beta
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 i (fma.f64 i #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta))))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64)))
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))))
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 i (fma.f64 i #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)))))
(.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))
(.f64 i (fma.f64 i #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta))))
(*.f64 i i)
i
(+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)
(/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) i)
(.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))
(*.f64 #s(literal 1/4 binary64) (+.f64 alpha beta))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))
(+.f64 alpha beta)
(*.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))
(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 alpha (+.f64 i beta) (.f64 i (+.f64 i beta)))) (.f64 (*.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (fma.f64 alpha (+.f64 i beta) (*.f64 i (+.f64 i beta))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))))
(.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))
(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 alpha (+.f64 i beta) (*.f64 i (+.f64 i beta))))
(+.f64 i (+.f64 alpha beta))
i
(+.f64 alpha beta)
alpha
beta
(.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))
(.f64 i (fma.f64 alpha (+.f64 i beta) (.f64 i (+.f64 i beta))))
(fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))
(fma.f64 alpha (+.f64 i beta) (*.f64 i (+.f64 i beta)))
(*.f64 alpha beta)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))
#s(literal 2 binary64)
(*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(*.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
(fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 alpha (+.f64 i beta) (.f64 i (+.f64 i beta)))) (.f64 (*.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))))
(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 alpha (+.f64 i beta) (.f64 i (+.f64 i beta)))) (.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (fma.f64 alpha (+.f64 i beta) (*.f64 i (+.f64 i beta))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))))
(.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))
(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 alpha (+.f64 i beta) (*.f64 i (+.f64 i beta))))
(+.f64 i (+.f64 alpha beta))
i
(+.f64 alpha beta)
alpha
beta
(.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))
(.f64 i (fma.f64 alpha (+.f64 i beta) (.f64 i (+.f64 i beta))))
(fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))
(fma.f64 alpha (+.f64 i beta) (*.f64 i (+.f64 i beta)))
(*.f64 alpha beta)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))
#s(literal 2 binary64)
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
(fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))
#s(literal -1 binary64)

localize149.0ms (1.1%)

Memory

41.4MiB live, 270.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0625	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.0859375	(.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))
accuracy	5.823972796836133	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	46.79185442063701	(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
accuracy	0.05859375	(.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))
accuracy	0.0859375	(.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))
accuracy	5.823972796836133	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	48.66684286565374	(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	0.0078125	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
accuracy	0.049160009768442016	(.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))
accuracy	11.945240060112623	#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))))
accuracy	36.048010782296224	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
accuracy	0	(*.f64 i (+.f64 alpha i))
accuracy	0	(*.f64 beta beta)
accuracy	19.217227422532105	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
accuracy	43.902464186153125	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
accuracy	18.830665587603978	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Samples

72.0ms

256×

valid

Compiler

Compiled 742 to 48 computations (93.5% saved)

Precisions

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

ival-mult: 25.0ms (50.9% of total)

ival-add: 11.0ms (22.4% of total)

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

ival-sub: 2.0ms (4.1% of total)

exact: 1.0ms (2% of total)

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

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

series131.0ms (1%)

Memory

-21.3MiB live, 223.1MiB allocated

Counts

20 → 660

Calls

Call 1

Inputs
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)) (patch (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt (.f64 i (+.f64 alpha i)) (patch (.f64 i (+.f64 alpha i)) #<representation binary64>) () ())
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))) (patch (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (patch (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)) (patch (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (patch (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (patch (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (patch (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) #<representation binary64>) () ())
#s(alt (+.f64 i (+.f64 alpha beta)) (patch (+.f64 i (+.f64 alpha beta)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (patch (/.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ ( (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())
#s(alt (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (patch (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) #<representation binary64>) () ())

Outputs
#s(alt (/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
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Calls

165 calls:

Time	Variable		Point	Expression
9.0ms	beta	@	inf	(* (* i i) (+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i)))
4.0ms	alpha	@	0	(/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1))
3.0ms	alpha	@	0	(+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i))
2.0ms	i	@	0	(/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1))
2.0ms	beta	@	0	(/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1))

simplify569.0ms (4.3%)

Memory

34.6MiB live, 453.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 992×	`lower-*.f64`
6 992×	`lower-*.f32`
6 280×	`lower-fma.f64`
6 280×	`lower-fma.f32`
3 958×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1915	47794
1	6836	47760
0	8019	43685

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 644

Calls

Call 1

Inputs
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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(/ (* i (+ beta i)) (pow alpha 2))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
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(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (* alpha i) (pow beta 2))
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(/ (pow i 2) (pow beta 2))
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(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ (pow i 2) (pow beta 2))
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i
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(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i)))))
(* 1/4 (/ beta i))
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(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))
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1/4
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1/4
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(pow alpha 2)
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(pow alpha 2)
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(- (pow (+ alpha (* 2 i)) 2) 1)
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)
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(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(pow beta 2)
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(pow beta 2)
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(- (pow (+ alpha beta) 2) 1)
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(* 4 (pow i 2))
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(* 4 (pow i 2))
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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1/16
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
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(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* alpha (* beta i))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (+ (* 2 (/ beta (+ alpha beta))) (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta)))) (+ alpha beta))))))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
(* 1/2 (pow i 3))
(* (pow i 3) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))
(* 1/2 (pow i 3))
(* -1 (* (pow i 3) (- (* -1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i))))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1/2 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) i))) i)) 1/2)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) (* -1/2 (/ (* alpha (* beta (+ alpha beta))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) i))) i))) i)) 1/2)))
(/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* alpha (- (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 3)) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(* alpha (* i (+ beta i)))
(* alpha (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha)))
(* alpha (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(* alpha (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 3)) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(* beta (* i (+ alpha i)))
(* beta (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)))
(* beta (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(* beta (- (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* alpha (* beta (* i (+ alpha beta))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(* (pow i 2) (pow (+ beta i) 2))
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(* (pow alpha 2) (* i (+ beta i)))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* (pow i 2) (pow (+ alpha i) 2))
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(* (pow beta 2) (* i (+ alpha i)))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(+ alpha beta)
(+ alpha (+ beta i))
(+ alpha (+ beta i))
(+ alpha (+ beta i))
i
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
i
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1)))
(+ beta i)
(+ alpha (+ beta i))
(+ alpha (+ beta i))
(+ alpha (+ beta i))
alpha
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(+ alpha i)
(+ alpha (+ beta i))
(+ alpha (+ beta i))
(+ alpha (+ beta i))
beta
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1)))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
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(/ (* alpha (* beta i)) (- (pow (+ alpha beta) 2) 1))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) beta))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (/ (* i (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)) (+ (* -1 (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))))))))) beta)) (* -1 (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))))) beta))))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
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(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
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(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (* alpha (* beta i)) (+ alpha beta))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
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(* 1/4 (pow i 2))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
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(* i (+ beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
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(* -1 (* i (+ (* -1 beta) (* -1 i))))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
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(* i (+ alpha i))
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))
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(* -1 (* i (+ (* -1 alpha) (* -1 i))))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))
(pow (+ beta (* 2 i)) 2)
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(pow (+ alpha (* 2 i)) 2)
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(pow (+ alpha beta) 2)
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(* alpha (* beta i))
(* i (+ (* alpha beta) (* i (+ alpha beta))))
(* i (+ (* alpha beta) (* i (+ alpha (+ beta i)))))
(* i (+ (* alpha beta) (* i (+ alpha (+ beta i)))))
(pow i 3)
(* (pow i 3) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 3) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* (pow i 3) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(pow i 3)
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha beta) i)) 1)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1)))
(* (pow i 2) (+ beta i))
(+ (* alpha (* i (+ beta i))) (* (pow i 2) (+ beta i)))
(+ (* alpha (* i (+ beta i))) (* (pow i 2) (+ beta i)))
(+ (* alpha (* i (+ beta i))) (* (pow i 2) (+ beta i)))
(* alpha (* i (+ beta i)))
(* alpha (+ (* i (+ beta i)) (/ (* (pow i 2) (+ beta i)) alpha)))
(* alpha (+ (* i (+ beta i)) (/ (* (pow i 2) (+ beta i)) alpha)))
(* alpha (+ (* i (+ beta i)) (/ (* (pow i 2) (+ beta i)) alpha)))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* (pow i 2) (+ alpha i))
(+ (* beta (* i (+ alpha i))) (* (pow i 2) (+ alpha i)))
(+ (* beta (* i (+ alpha i))) (* (pow i 2) (+ alpha i)))
(+ (* beta (* i (+ alpha i))) (* (pow i 2) (+ alpha i)))
(* beta (* i (+ alpha i)))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ alpha i)) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ alpha i)) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ alpha i)) beta)) (* i (+ (* -1 alpha) (* -1 i))))))

Outputs
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 alpha (.f64 beta i)) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 i (fma.f64 i (-.f64 (fma.f64 alpha (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 alpha beta) (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 i (fma.f64 i (fma.f64 i (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (fma.f64 #s(literal 32 binary64) (/.f64 (.f64 alpha beta) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 alpha beta) (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 alpha beta) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 20 binary64) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 (-.f64 (fma.f64 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(.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (/.f64 (.f64 alpha beta) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))
1/16
#s(literal 1/16 binary64)
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(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(neg.f64 (/.f64 (.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha))) (.f64 beta beta)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/.f64 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))) (neg.f64 (.f64 (.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha))) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)) #s(literal 6 binary64) #s(literal -1 binary64)))))) beta)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (.f64 #s(literal -4 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha)))))) beta))) (.f64 beta beta))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(* alpha (* beta i))
(.f64 alpha (.f64 beta i))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
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(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
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(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (+ (* 2 (/ beta (+ alpha beta))) (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta)))) (+ alpha beta))))))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
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(* 1/2 (pow i 3))
(.f64 (.f64 i (*.f64 i i)) #s(literal 1/2 binary64))
(* (pow i 3) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 (.f64 i (.f64 i i)) (+.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/4 binary64)) i)))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(.f64 (.f64 i (.f64 i i)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta)) (.f64 i i))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 alpha beta) #s(literal -1/4 binary64)))) (*.f64 i i)))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))
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(* 1/2 (pow i 3))
(.f64 (.f64 i (*.f64 i i)) #s(literal 1/2 binary64))
(* -1 (* (pow i 3) (- (* -1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i))))))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (-.f64 (/.f64 (.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)) i) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1/2 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) i))) i)) 1/2)))
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(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) (* -1/2 (/ (* alpha (* beta (+ alpha beta))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) i))) i))) i)) 1/2)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i)))
(.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(fma.f64 alpha (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))))
(+ (* alpha (- (+ (* alpha (- (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(fma.f64 alpha (-.f64 (fma.f64 alpha (fma.f64 i (/.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 3)) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(fma.f64 alpha (fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 i (/.f64 (+.f64 beta i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (fma.f64 i (/.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))) (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))))
(* alpha (* i (+ beta i)))
(.f64 (.f64 alpha i) (+.f64 beta i))
(* alpha (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha)))
(.f64 alpha (-.f64 (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (.f64 i (+.f64 beta i))) (/.f64 (.f64 (*.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)) alpha)))
(* alpha (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(.f64 alpha (-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 alpha alpha)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)) alpha))))
(* alpha (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(.f64 alpha (+.f64 (neg.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta))))))) (.f64 alpha (.f64 alpha alpha)))) (-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 alpha alpha)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)) alpha)))))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(neg.f64 (.f64 (.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 beta))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i)))) (neg.f64 (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))) alpha))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (-.f64 (.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i)))) (neg.f64 (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta)))))))) alpha))) (neg.f64 (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))) alpha))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (-.f64 (.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i)))) (neg.f64 (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))))))) alpha)) (neg.f64 (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (-.f64 (.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i)))) (neg.f64 (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))))))) alpha))) (neg.f64 (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))) alpha))))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i)))
(.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(fma.f64 beta (-.f64 (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) (fma.f64 i #s(literal 2 binary64) alpha)) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))))
(+ (* beta (- (+ (* beta (- (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(fma.f64 beta (fma.f64 beta (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (/.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (-.f64 (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) (fma.f64 i #s(literal 2 binary64) alpha)) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 3)) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta (-.f64 (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))))) (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (/.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))))) (-.f64 (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) (fma.f64 i #s(literal 2 binary64) alpha)) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))))
(* beta (* i (+ alpha i)))
(.f64 (.f64 beta i) (+.f64 alpha i))
(* beta (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)))
(.f64 beta (-.f64 (fma.f64 i (+.f64 alpha i) (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) beta)) (/.f64 (.f64 (*.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)) beta)))
(* beta (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(.f64 beta (-.f64 (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta)))) (fma.f64 i (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha)) beta) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 i (-.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha))))) (.f64 beta beta)))))
(* beta (- (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(.f64 beta (+.f64 (neg.f64 (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 i (-.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha))))))) (.f64 beta (.f64 beta beta)))) (-.f64 (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta)))) (fma.f64 i (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha)) beta) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 i (-.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha))))) (.f64 beta beta))))))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 (.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 alpha))))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(.f64 (neg.f64 beta) (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha))))) (neg.f64 (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))) beta))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(.f64 (neg.f64 beta) (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (-.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha))))) (neg.f64 (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha)))))))) beta))) (neg.f64 (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))) beta))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(.f64 (neg.f64 beta) (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (-.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (-.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha))))) (neg.f64 (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))))))) beta))) (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (-.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha))))) (neg.f64 (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha)))))))) beta))) (neg.f64 (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (+.f64 (neg.f64 i) (neg.f64 alpha))))) beta))))
(* alpha (* beta (* i (+ alpha beta))))
(.f64 alpha (.f64 beta (*.f64 i (+.f64 alpha beta))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(.f64 i (fma.f64 alpha (.f64 beta (+.f64 alpha beta)) (.f64 i (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(.f64 i (fma.f64 i (fma.f64 alpha beta (fma.f64 i (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 alpha (*.f64 beta (+.f64 alpha beta)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(.f64 i (fma.f64 alpha (.f64 beta (+.f64 alpha beta)) (.f64 i (fma.f64 alpha beta (fma.f64 i (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) i) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1 binary64)))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (fma.f64 alpha (/.f64 beta (.f64 i i)) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (fma.f64 alpha (/.f64 beta (.f64 i i)) (fma.f64 alpha (/.f64 (.f64 beta (+.f64 alpha beta)) (.f64 i (.f64 i i))) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 i i)))))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1 binary64)))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 alpha (/.f64 beta i) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) i)) (neg.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) (/.f64 (fma.f64 alpha (/.f64 (.f64 beta (+.f64 alpha beta)) i) (neg.f64 (fma.f64 (neg.f64 alpha) beta (neg.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))) i))) i))))
(* (pow i 2) (pow (+ beta i) 2))
(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (.f64 alpha i) (fma.f64 i (+.f64 beta i) (*.f64 (+.f64 beta i) (+.f64 beta i)))))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 alpha (fma.f64 alpha (.f64 i (+.f64 beta i)) (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 alpha (fma.f64 alpha (.f64 i (+.f64 beta i)) (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))))
(* (pow alpha 2) (* i (+ beta i)))
(.f64 (.f64 i (+.f64 beta i)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(.f64 (.f64 alpha alpha) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (.f64 i (+.f64 beta i))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 alpha alpha)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 alpha alpha)))))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(neg.f64 (.f64 (.f64 (*.f64 alpha alpha) i) (+.f64 (neg.f64 i) (neg.f64 beta))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 beta)) (/.f64 (.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i)))) alpha)))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (fma.f64 i (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (neg.f64 (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (.f64 alpha alpha) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (fma.f64 i (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (neg.f64 (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha))) alpha))))
(* (pow i 2) (pow (+ alpha i) 2))
(.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i)))
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (.f64 beta i) (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (*.f64 i (+.f64 alpha i)))))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 beta (fma.f64 beta (.f64 i (+.f64 alpha i)) (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))))) (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 beta (fma.f64 beta (.f64 i (+.f64 alpha i)) (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))))) (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))))
(* (pow beta 2) (* i (+ alpha i)))
(.f64 (.f64 i (+.f64 alpha i)) (*.f64 beta beta))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) beta)))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (*.f64 beta beta)))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (*.f64 beta beta)))))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 (.f64 i (*.f64 beta beta)) (+.f64 (neg.f64 i) (neg.f64 alpha))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(.f64 (.f64 beta beta) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (/.f64 (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha))))) beta)))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(.f64 (.f64 beta beta) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (neg.f64 (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) beta)))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(.f64 (.f64 beta beta) (fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)))) (neg.f64 (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) beta)))) beta))))
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha (+ beta i))
(+.f64 alpha (+.f64 beta i))
(+ alpha (+ beta i))
(+.f64 alpha (+.f64 beta i))
(+ alpha (+ beta i))
(+.f64 alpha (+.f64 beta i))
i
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i))))
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i))))
(* i (+ 1 (+ (/ alpha i) (/ beta i))))
(*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i))))
i
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1)))
(*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -1 binary64)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1)))
(*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -1 binary64)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1)))
(*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -1 binary64)))
(+ beta i)
(+.f64 beta i)
(+ alpha (+ beta i))
(+.f64 alpha (+.f64 beta i))
(+ alpha (+ beta i))
(+.f64 alpha (+.f64 beta i))
(+ alpha (+ beta i))
(+.f64 alpha (+.f64 beta i))
alpha
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha)))
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha)))
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1)))
(*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)) #s(literal -1 binary64)))
(+ alpha i)
(+.f64 alpha i)
(+ alpha (+ beta i))
(+.f64 alpha (+.f64 beta i))
(+ alpha (+ beta i))
(+.f64 alpha (+.f64 beta i))
(+ alpha (+ beta i))
(+.f64 alpha (+.f64 beta i))
beta
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 i beta)))
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 i beta)))
(* beta (+ 1 (+ (/ alpha beta) (/ i beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 i beta)))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1)))
(neg.f64 (*.f64 beta (+.f64 (neg.f64 (/.f64 (+.f64 alpha i) beta)) #s(literal -1 binary64))))
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1)))
(neg.f64 (*.f64 beta (+.f64 (neg.f64 (/.f64 (+.f64 alpha i) beta)) #s(literal -1 binary64))))
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1)))
(neg.f64 (*.f64 beta (+.f64 (neg.f64 (/.f64 (+.f64 alpha i) beta)) #s(literal -1 binary64))))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 alpha (.f64 beta i)) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))))))) (pow i 3))))))))))
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(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))))
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(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(neg.f64 (/.f64 (.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha))) (.f64 beta beta)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (* alpha (* beta i)) (+ alpha beta))
(/.f64 (.f64 alpha (.f64 beta i)) (+.f64 alpha beta))
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))
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(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 (.f64 i i) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta)) i) #s(literal 1/4 binary64)))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(.f64 (.f64 i i) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta)) (.f64 i i))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)) (fma.f64 (+.f64 alpha beta) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))) (.f64 i i)) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) i)))))
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
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(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 (.f64 i i) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta)) i) #s(literal 1/4 binary64)))
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))
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(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
(.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(fma.f64 alpha (-.f64 (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(fma.f64 alpha (fma.f64 alpha (-.f64 (/.f64 (.f64 i (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (-.f64 (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha (-.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 (.f64 i (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (-.f64 (/.f64 (.f64 i (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))))) (-.f64 (.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))
(* i (+ beta i))
(*.f64 i (+.f64 beta i))
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))
(-.f64 (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (.f64 i (+.f64 beta i))) (/.f64 (.f64 (.f64 i (+.f64 beta i)) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha))
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 alpha alpha)))) (fma.f64 i (/.f64 (.f64 (+.f64 beta i) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) alpha) (fma.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))) (.f64 alpha alpha)) (.f64 i (/.f64 (.f64 (+.f64 beta i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))))
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))
(+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))) (.f64 i (.f64 (+.f64 beta i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))) (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))))) (.f64 alpha (.f64 alpha alpha)))) (-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 alpha alpha)))) (fma.f64 i (/.f64 (.f64 (+.f64 beta i) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) alpha) (fma.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))) (.f64 alpha alpha)) (.f64 i (/.f64 (.f64 (+.f64 beta i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))))))
(* -1 (* i (+ (* -1 beta) (* -1 i))))
(*.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 beta)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (fma.f64 i (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))) (.f64 (neg.f64 i) (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta)))))) alpha)) (fma.f64 i (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 #s(literal -2 binary64) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta)))))) alpha)))
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))
(fma.f64 (neg.f64 i) (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))) (.f64 (neg.f64 i) (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))))) alpha) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (fma.f64 i (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))) alpha) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))))) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta))))) (.f64 (neg.f64 i) (.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta)))))) alpha)) (fma.f64 i (fma.f64 (+.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 beta)) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 (neg.f64 i) (neg.f64 beta)))))) alpha)))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))
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(fma.f64 beta (+.f64 beta (fma.f64 alpha #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))
(fma.f64 beta (+.f64 beta (fma.f64 alpha #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(.f64 (.f64 beta beta) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (.f64 beta beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(.f64 (.f64 beta beta) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)) (.f64 beta beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta) #s(literal 1 binary64)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)) beta))) beta))))
(pow (+ alpha beta) 2)
(*.f64 (+.f64 alpha beta) (+.f64 alpha beta))
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))
(fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 #s(literal 4 binary64) (.f64 i (+.f64 alpha beta))))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 4 binary64)))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i)))))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 4 binary64)))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -4 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -4 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) i))) i))))
(* alpha (* beta i))
(.f64 alpha (.f64 beta i))
(* i (+ (* alpha beta) (* i (+ alpha beta))))
(.f64 i (fma.f64 i (+.f64 alpha beta) (.f64 alpha beta)))
(* i (+ (* alpha beta) (* i (+ alpha (+ beta i)))))
(.f64 i (fma.f64 i (+.f64 alpha (+.f64 beta i)) (.f64 alpha beta)))
(* i (+ (* alpha beta) (* i (+ alpha (+ beta i)))))
(.f64 i (fma.f64 i (+.f64 alpha (+.f64 beta i)) (.f64 alpha beta)))
(pow i 3)
(.f64 i (.f64 i i))
(* (pow i 3) (+ 1 (+ (/ alpha i) (/ beta i))))
(.f64 (.f64 i (*.f64 i i)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i))))
(* (pow i 3) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(.f64 (.f64 i (.f64 i i)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha i) (fma.f64 alpha (/.f64 beta (.f64 i i)) (/.f64 beta i)))))
(* (pow i 3) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(.f64 (.f64 i (.f64 i i)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha i) (fma.f64 alpha (/.f64 beta (.f64 i i)) (/.f64 beta i)))))
(pow i 3)
(.f64 i (.f64 i i))
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha beta) i)) 1)))
(neg.f64 (.f64 (.f64 i (*.f64 i i)) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -1 binary64))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1)))
(neg.f64 (.f64 (.f64 i (*.f64 i i)) (+.f64 (neg.f64 (/.f64 (+.f64 alpha (fma.f64 alpha (/.f64 beta i) beta)) i)) #s(literal -1 binary64))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ alpha (+ beta (/ (* alpha beta) i))) i)) 1)))
(neg.f64 (.f64 (.f64 i (*.f64 i i)) (+.f64 (neg.f64 (/.f64 (+.f64 alpha (fma.f64 alpha (/.f64 beta i) beta)) i)) #s(literal -1 binary64))))
(* (pow i 2) (+ beta i))
(.f64 (.f64 i i) (+.f64 beta i))
(+ (* alpha (* i (+ beta i))) (* (pow i 2) (+ beta i)))
(fma.f64 alpha (.f64 i (+.f64 beta i)) (.f64 (*.f64 i i) (+.f64 beta i)))
(+ (* alpha (* i (+ beta i))) (* (pow i 2) (+ beta i)))
(fma.f64 alpha (.f64 i (+.f64 beta i)) (.f64 (*.f64 i i) (+.f64 beta i)))
(+ (* alpha (* i (+ beta i))) (* (pow i 2) (+ beta i)))
(fma.f64 alpha (.f64 i (+.f64 beta i)) (.f64 (*.f64 i i) (+.f64 beta i)))
(* alpha (* i (+ beta i)))
(.f64 (.f64 alpha i) (+.f64 beta i))
(* alpha (+ (* i (+ beta i)) (/ (* (pow i 2) (+ beta i)) alpha)))
(.f64 alpha (fma.f64 i (+.f64 beta i) (.f64 (*.f64 i i) (/.f64 (+.f64 beta i) alpha))))
(* alpha (+ (* i (+ beta i)) (/ (* (pow i 2) (+ beta i)) alpha)))
(.f64 alpha (fma.f64 i (+.f64 beta i) (.f64 (*.f64 i i) (/.f64 (+.f64 beta i) alpha))))
(* alpha (+ (* i (+ beta i)) (/ (* (pow i 2) (+ beta i)) alpha)))
(.f64 alpha (fma.f64 i (+.f64 beta i) (.f64 (*.f64 i i) (/.f64 (+.f64 beta i) alpha))))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(neg.f64 (.f64 (.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 beta))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(neg.f64 (.f64 alpha (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (.f64 (*.f64 i i) (/.f64 (+.f64 beta i) alpha))))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(neg.f64 (.f64 alpha (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (.f64 (*.f64 i i) (/.f64 (+.f64 beta i) alpha))))))
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ beta i)) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(neg.f64 (.f64 alpha (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (.f64 (*.f64 i i) (/.f64 (+.f64 beta i) alpha))))))
(* (pow i 2) (+ alpha i))
(.f64 (.f64 i i) (+.f64 alpha i))
(+ (* beta (* i (+ alpha i))) (* (pow i 2) (+ alpha i)))
(fma.f64 beta (.f64 i (+.f64 alpha i)) (.f64 (*.f64 i i) (+.f64 alpha i)))
(+ (* beta (* i (+ alpha i))) (* (pow i 2) (+ alpha i)))
(fma.f64 beta (.f64 i (+.f64 alpha i)) (.f64 (*.f64 i i) (+.f64 alpha i)))
(+ (* beta (* i (+ alpha i))) (* (pow i 2) (+ alpha i)))
(fma.f64 beta (.f64 i (+.f64 alpha i)) (.f64 (*.f64 i i) (+.f64 alpha i)))
(* beta (* i (+ alpha i)))
(.f64 (.f64 beta i) (+.f64 alpha i))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(.f64 beta (fma.f64 i (+.f64 alpha i) (.f64 (*.f64 i i) (/.f64 (+.f64 alpha i) beta))))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(.f64 beta (fma.f64 i (+.f64 alpha i) (.f64 (*.f64 i i) (/.f64 (+.f64 alpha i) beta))))
(* beta (+ (* i (+ alpha i)) (/ (* (pow i 2) (+ alpha i)) beta)))
(.f64 beta (fma.f64 i (+.f64 alpha i) (.f64 (*.f64 i i) (/.f64 (+.f64 alpha i) beta))))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 (.f64 beta i) (+.f64 (neg.f64 i) (neg.f64 alpha))))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ alpha i)) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(neg.f64 (.f64 beta (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (.f64 (*.f64 i i) (/.f64 (+.f64 alpha i) beta))))))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ alpha i)) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(neg.f64 (.f64 beta (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (.f64 (*.f64 i i) (/.f64 (+.f64 alpha i) beta))))))
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ alpha i)) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(neg.f64 (.f64 beta (fma.f64 i (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (.f64 (*.f64 i i) (/.f64 (+.f64 alpha i) beta))))))

rewrite515.0ms (3.9%)

Memory

5.1MiB live, 325.6MiB allocated

Rules

5 756×	`lower-*.f32`
5 732×	`lower-*.f64`
4 382×	`lower-/.f32`
4 368×	`lower-/.f64`
2 748×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	535
0	85	456
1	448	446
2	4064	445
0	9287	441

Stop Event

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

Counts

20 → 774

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(*.f64 i (+.f64 alpha i))
(+.f64 alpha i)
(.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))
(+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))
(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))))
(+.f64 i (+.f64 alpha beta))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(*.f64 beta beta)
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i))))
(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))

Outputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 beta beta) (*.f64 i (+.f64 i alpha)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 i (+.f64 i alpha)) (neg.f64 (.f64 beta beta))))
(neg.f64 (/.f64 (neg.f64 (.f64 i (+.f64 i alpha))) (.f64 beta beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 beta beta) (.f64 i (+.f64 i alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 beta beta) (.f64 i (+.f64 i alpha))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (*.f64 i (+.f64 i alpha)) beta)))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 beta beta) (.f64 i (+.f64 i alpha)))))
(/.f64 (neg.f64 (.f64 i (+.f64 i alpha))) (neg.f64 (.f64 beta beta)))
(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
(/.f64 (neg.f64 (neg.f64 (.f64 i (+.f64 i alpha)))) (neg.f64 (neg.f64 (.f64 beta beta))))
(/.f64 (neg.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta)) (neg.f64 beta))
(/.f64 (.f64 (.f64 i (+.f64 i alpha)) #s(literal 1 binary64)) (*.f64 beta beta))
(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
(pow.f64 (/.f64 (.f64 beta beta) (.f64 i (+.f64 i alpha))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 beta beta) (.f64 i (+.f64 i alpha))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 beta (/.f64 (*.f64 i (+.f64 i alpha)) beta)) #s(literal -1 binary64))
(.f64 i (/.f64 (+.f64 i alpha) (.f64 beta beta)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 i (+.f64 i alpha)) (*.f64 beta beta)))
(.f64 (+.f64 i alpha) (.f64 i (/.f64 #s(literal 1 binary64) (*.f64 beta beta))))
(.f64 (+.f64 i alpha) (/.f64 i (.f64 beta beta)))
(.f64 (.f64 i (+.f64 i alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(.f64 (neg.f64 (.f64 i (+.f64 i alpha))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 beta beta))))
(*.f64 (/.f64 i beta) (/.f64 (+.f64 i alpha) beta))
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (*.f64 i (+.f64 i alpha)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 i (+.f64 i alpha))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
(.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 i (+.f64 i alpha)) beta))
(+.f64 (.f64 i i) (.f64 i alpha))
(+.f64 (.f64 i alpha) (.f64 i i))
(fma.f64 i i (*.f64 i alpha))
(fma.f64 i alpha (*.f64 i i))
(fma.f64 alpha i (*.f64 i i))
(fma.f64 (neg.f64 i) (neg.f64 i) (*.f64 i alpha))
(fma.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)) (*.f64 i alpha))
(/.f64 (fma.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 i (.f64 i i)) (.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i i)))) (fma.f64 (.f64 alpha alpha) (.f64 i i) (-.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 i alpha) (*.f64 i i)))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (.f64 i i)) (.f64 (.f64 i i) (.f64 i i))) (-.f64 (.f64 i alpha) (.f64 i i)))
(/.f64 (.f64 i (fma.f64 alpha (.f64 alpha alpha) (.f64 i (.f64 i i)))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))
(/.f64 (.f64 i (.f64 (+.f64 i alpha) (-.f64 alpha i))) (-.f64 alpha i))
(/.f64 (.f64 (fma.f64 alpha (.f64 alpha alpha) (.f64 i (.f64 i i))) i) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))
(/.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) i) (-.f64 alpha i))
(*.f64 i (+.f64 i alpha))
(*.f64 (+.f64 i alpha) i)
(+.f64 i alpha)
(+.f64 alpha i)
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha i)) (/.f64 (.f64 i i) (-.f64 alpha i)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 i i) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 alpha (.f64 alpha alpha) (.f64 i (.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha i) (*.f64 (+.f64 i alpha) (-.f64 alpha i))))
(/.f64 (fma.f64 alpha (.f64 alpha alpha) (.f64 i (.f64 i i))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)))
(/.f64 (fma.f64 alpha (.f64 alpha alpha) (.f64 i (.f64 i i))) (fma.f64 i i (-.f64 (.f64 alpha alpha) (*.f64 i alpha))))
(/.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) (-.f64 alpha i))
(/.f64 (neg.f64 (fma.f64 alpha (.f64 alpha alpha) (.f64 i (.f64 i i)))) (neg.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (neg.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i))) (neg.f64 (-.f64 alpha i)))
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(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha i)) (.f64 (-.f64 alpha i) (.f64 i i))) (*.f64 (-.f64 alpha i) (-.f64 alpha i)))
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(/.f64 (fma.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 i (+.f64 i (+.f64 alpha beta))))) (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 alpha beta) (.f64 alpha (.f64 beta (.f64 alpha beta)))) (.f64 i (.f64 i i)))) (fma.f64 (.f64 (.f64 i i) (+.f64 i (+.f64 alpha beta))) (.f64 (.f64 i i) (+.f64 i (+.f64 alpha beta))) (-.f64 (.f64 (.f64 i (.f64 alpha beta)) (.f64 i (.f64 alpha beta))) (.f64 (.f64 (.f64 i i) (+.f64 i (+.f64 alpha beta))) (.f64 i (*.f64 alpha beta))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 i i) (+.f64 i (+.f64 alpha beta))) (.f64 (.f64 i i) (+.f64 i (+.f64 alpha beta)))) (.f64 (.f64 i (.f64 alpha beta)) (.f64 i (.f64 alpha beta)))) (-.f64 (.f64 (.f64 i i) (+.f64 i (+.f64 alpha beta))) (.f64 i (.f64 alpha beta))))
(/.f64 (.f64 i (fma.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 i (+.f64 i (+.f64 alpha beta)))) (.f64 (.f64 alpha beta) (.f64 alpha (.f64 beta (.f64 alpha beta)))))) (fma.f64 alpha (.f64 beta (.f64 alpha beta)) (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 (neg.f64 alpha) beta)))))
(/.f64 (.f64 i (fma.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 i (+.f64 i (+.f64 alpha beta)))) (.f64 (.f64 alpha beta) (.f64 alpha (.f64 beta (.f64 alpha beta)))))) (fma.f64 i (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (+.f64 i (+.f64 alpha beta)))) (.f64 (.f64 alpha beta) (-.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))))))
(/.f64 (.f64 i (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (-.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))))) (-.f64 (.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))))
(/.f64 (.f64 i (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 (neg.f64 alpha) beta)))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 (neg.f64 alpha) beta)))
(/.f64 (.f64 (fma.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 i (+.f64 i (+.f64 alpha beta)))) (.f64 (.f64 alpha beta) (.f64 alpha (.f64 beta (.f64 alpha beta))))) i) (fma.f64 alpha (.f64 beta (.f64 alpha beta)) (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 (neg.f64 alpha) beta)))))
(/.f64 (.f64 (fma.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 i (+.f64 i (+.f64 alpha beta)))) (.f64 (.f64 alpha beta) (.f64 alpha (.f64 beta (.f64 alpha beta))))) i) (fma.f64 i (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (+.f64 i (+.f64 alpha beta)))) (.f64 (.f64 alpha beta) (-.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))))))
(/.f64 (.f64 (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (-.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta))))) i) (-.f64 (.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))))
(/.f64 (.f64 (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 (neg.f64 alpha) beta))) i) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 (neg.f64 alpha) beta)))
(.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))
(.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) i)

eval394.0ms (3%)

Memory: -5.8MiB live, 444.7MiB allocated
Compiler: Compiled 131 089 to 5 451 computations (95.8% saved)

prune600.0ms (4.5%)

Memory

-64.3MiB live, 776.3MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 837	23	1 860
Fresh	7	2	9
Picked	4	1	5
Done	0	0	0
Total	1 848	26	1 874

Accuracy

98.3%

Counts

1 874 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.1%	(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 1 binary64)))) (+.f64 alpha (-.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 1 binary64))))
▶	15.0%	(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	21.8%	(/.f64 (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	23.1%	(/.f64 (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	37.5%	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	15.2%	(/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (.f64 (*.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))))
	15.0%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
▶	70.5%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
▶	31.4%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	70.5%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (+.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #s(literal -1/64 binary64)) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
▶	70.5%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	19.7%	(/.f64 #s(approx (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64)))
	34.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 i (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))
	38.1%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) #s(approx (+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i)) #s(literal 1/4 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (* i i) (+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i))) (.f64 i (.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	37.5%	(.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	14.9%	#s(approx (/ (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (+ (* i 2) (+ alpha beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
	22.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
	31.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta))
	12.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
▶	9.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
	14.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
	31.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
✓	70.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 1 637 to 708 computations (56.8% saved)

simplify257.0ms (1.9%)

Memory

-13.5MiB live, 384.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
cost-diff	0	#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
cost-diff	0	(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	384	(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff	128	(.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))
cost-diff	320	(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))
cost-diff	320	(.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64))
cost-diff	1408	(-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))
cost-diff	0	(/.f64 (+.f64 alpha i) beta)
cost-diff	0	(*.f64 i (/.f64 (+.f64 alpha i) beta))
cost-diff	0	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
cost-diff	0	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(*.f64 alpha i)
cost-diff	0	#s(approx (* i (+ alpha i)) (*.f64 alpha i))
cost-diff	0	(/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))
cost-diff	0	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
cost-diff	0	(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
cost-diff	0	(*.f64 i #s(literal 1/8 binary64))
cost-diff	0	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))
cost-diff	0	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))

Rules

8 496×	`lower-fma.f32`
8 490×	`lower-fma.f64`
5 162×	`lower-*.f32`
5 138×	`lower-*.f64`
3 338×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	789
0	105	784
1	259	769
2	894	708
3	4846	680
4	7088	680
0	8161	665

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))
(*.f64 i #s(literal 1/8 binary64))
i
#s(literal 1/8 binary64)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
(/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))
#s(approx (* i (+ alpha i)) (*.f64 alpha i))
(*.f64 alpha i)
alpha
i
(*.f64 beta beta)
beta
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
(*.f64 i (/.f64 (+.f64 alpha i) beta))
i
(/.f64 (+.f64 alpha i) beta)
(+.f64 alpha i)
alpha
beta
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))))
(.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))
(neg.f64 i)
i
(-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64))
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i)
(*.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
alpha
beta
#s(literal 2 binary64)
#s(literal -1/8 binary64)
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i)
(*.f64 (+.f64 alpha beta) #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1/64 binary64)
#s(literal 1/8 binary64)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(*.f64 i i)
i
(*.f64 (+.f64 beta i) (+.f64 beta i))
(+.f64 beta i)
beta
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))
(*.f64 i #s(literal 1/8 binary64))
i
#s(literal 1/8 binary64)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
beta
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i alpha)) (.f64 beta beta)))
(/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))
(/.f64 #s(approx (* i (+ alpha i)) (.f64 i alpha)) (.f64 beta beta))
#s(approx (* i (+ alpha i)) (*.f64 alpha i))
#s(approx (* i (+ alpha i)) (*.f64 i alpha))
(*.f64 alpha i)
(*.f64 i alpha)
alpha
i
(*.f64 beta beta)
beta
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 (*.f64 i (+.f64 i alpha)) beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 (*.f64 i (+.f64 i alpha)) beta))
(*.f64 i (/.f64 (+.f64 alpha i) beta))
(/.f64 (*.f64 i (+.f64 i alpha)) beta)
i
(/.f64 (+.f64 alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(+.f64 alpha i)
(+.f64 i alpha)
alpha
beta
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))
(*.f64 i (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(neg.f64 i)
i
(-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))
(fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal -1/16 binary64) #s(literal -1/8 binary64))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64))
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/4 binary64)) i)
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i)
(*.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
alpha
beta
#s(literal 2 binary64)
#s(literal -1/8 binary64)
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -3/16 binary64) i) #s(literal 1/8 binary64))
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i)
(*.f64 (+.f64 alpha beta) #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1/64 binary64)
#s(literal 1/8 binary64)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 i beta) (+.f64 i beta)))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 i beta) (+.f64 i beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 i beta) (+.f64 i beta))))
(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(.f64 (.f64 i i) (*.f64 (+.f64 i beta) (+.f64 i beta)))
(*.f64 i i)
i
(*.f64 (+.f64 beta i) (+.f64 beta i))
(*.f64 (+.f64 i beta) (+.f64 i beta))
(+.f64 beta i)
(+.f64 i beta)
beta
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
#s(literal -1 binary64)

localize308.0ms (2.3%)

Memory

0.9MiB live, 480.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08041000976844202	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
accuracy	0.44154181871602977	#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
accuracy	5.82397279683613	(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	48.66684286565374	(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	0.13671875	(*.f64 (+.f64 alpha beta) #s(literal 12 binary64))
accuracy	0.31265273444260844	(-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))
accuracy	0.883948651482796	(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i)
accuracy	18.84547766410733	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))))
accuracy	0	(+.f64 alpha beta)
accuracy	0.0625	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.1484375	(*.f64 i (/.f64 (+.f64 alpha i) beta))
accuracy	43.05407547222098	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
accuracy	0	(*.f64 alpha i)
accuracy	19.217227422532105	(/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))
accuracy	43.902464186153125	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
accuracy	57.84766953837203	#s(approx (* i (+ alpha i)) (*.f64 alpha i))
accuracy	0	(+.f64 alpha beta)
accuracy	0	(*.f64 i #s(literal 1/8 binary64))
accuracy	0.0625	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	18.939164899568485	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))

Samples

90.0ms	229×	0	valid
44.0ms	9×	2	valid
28.0ms	10×	1	valid
10.0ms	8×	3	valid

Compiler

Compiled 708 to 61 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 74.0ms (53.1% of total)

adjust: 26.0ms (18.6% of total)

ival-div: 21.0ms (15.1% of total)

ival-add: 15.0ms (10.8% of total)

ival-sub: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series113.0ms (0.8%)

Memory

32.8MiB live, 266.9MiB allocated

Counts

24 → 780

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (patch (/.f64 #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) (patch #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (.f64 i #s(literal 1/8 binary64)) (patch (.f64 i #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (patch (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)) (patch (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt #s(approx (* i (+ alpha i)) (.f64 alpha i)) (patch #s(approx ( i (+ alpha i)) (*.f64 alpha i)) #<representation binary64>) () ())
#s(alt (.f64 alpha i) (patch (.f64 alpha i) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (patch (/.f64 #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) (patch #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) #<representation binary64>) () ())
#s(alt (.f64 i (/.f64 (+.f64 alpha i) beta)) (patch (.f64 i (/.f64 (+.f64 alpha i) beta)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 alpha i) beta) (patch (/.f64 (+.f64 alpha i) beta) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (patch (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())
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Outputs
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#s(alt (* alpha (+ 12 (* 12 (/ beta alpha)))) (taylor inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 12 (* 12 (/ beta alpha)))) (taylor inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 12 alpha) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -12 (/ beta alpha)) 12))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -12 (/ beta alpha)) 12))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -12 (/ beta alpha)) 12))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 12 alpha) (taylor 0 beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 12 alpha) (* 12 beta)) (taylor 0 beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 12 alpha) (* 12 beta)) (taylor 0 beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 12 alpha) (* 12 beta)) (taylor 0 beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 12 beta) (taylor inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 12 (* 12 (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 12 (* 12 (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 12 (* 12 (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 12 beta) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -12 (/ alpha beta)) 12))) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -12 (/ alpha beta)) 12))) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -12 (/ alpha beta)) 12))) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #<representation binary64>) () ())) ())

Calls

195 calls:

Time	Variable		Point	Expression
15.0ms	i	@	-inf	(/ (* (+ alpha beta) 12) i)
3.0ms	alpha	@	inf	(* i (/ (+ alpha i) beta))
3.0ms	alpha	@	inf	(* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)))
1.0ms	alpha	@	inf	(- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))
1.0ms	alpha	@	0	(- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))

simplify529.0ms (4%)

Memory

4.3MiB live, 630.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 938×	`lower-*.f64`
6 938×	`lower-*.f32`
6 890×	`lower-fma.f64`
6 890×	`lower-fma.f32`
4 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1623	50137
1	5807	49264
0	8766	45221

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 770

Calls

Call 1

Inputs
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i)))
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(/ (* i (+ beta i)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2))
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (* alpha (* beta i)) (- (pow (+ alpha beta) 2) 1))
(* i (+ (* i (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))))
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(* 1/8 i)
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))
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(* 1/8 i)
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
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(/ (* i (+ beta i)) alpha)
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) alpha)) alpha)
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))) (pow alpha 2))))) alpha)
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) alpha))
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1/16
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1/16
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(/ (* i (+ beta i)) (pow alpha 2))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
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(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(/ (* alpha i) (pow beta 2))
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(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(* alpha i)
(* i (+ alpha i))
(* i (+ alpha i))
(* i (+ alpha i))
(pow i 2)
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
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(pow i 2)
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(pow i 2)
(+ (* alpha i) (pow i 2))
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(* alpha i)
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(* alpha (+ i (/ (pow i 2) alpha)))
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(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* alpha i)
(* alpha i)
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1/16
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1/16
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(/ (* i (+ beta i)) (pow alpha 2))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
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(/ (* alpha (* beta i)) (- (pow (+ alpha beta) 2) 1))
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(* 1/8 i)
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(* 1/8 i)
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(/ (* i (+ beta i)) alpha)
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) alpha)) alpha)
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) alpha))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) beta)
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) beta)) beta)
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(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1))) (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))))) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1))) (pow beta 2)) (/ (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))))) (pow beta 2))))) beta)
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) beta))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (/ (* i (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)) (+ (* -1 (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))))))))) beta)) (* -1 (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))))) beta))))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta))
(/ (* alpha i) beta)
(* i (+ (/ alpha beta) (/ i beta)))
(* i (+ (/ alpha beta) (/ i beta)))
(* i (+ (/ alpha beta) (/ i beta)))
(/ (pow i 2) beta)
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
(/ (pow i 2) beta)
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i))))
(/ (pow i 2) beta)
(+ (/ (* alpha i) beta) (/ (pow i 2) beta))
(+ (/ (* alpha i) beta) (/ (pow i 2) beta))
(+ (/ (* alpha i) beta) (/ (pow i 2) beta))
(/ (* alpha i) beta)
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))
(/ (* alpha i) beta)
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta))))))
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta))))))
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta))))))
(/ (* i (+ alpha i)) beta)
(/ (* i (+ alpha i)) beta)
(/ (* i (+ alpha i)) beta)
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(/ (* i (+ alpha i)) beta)
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(/ (- (+ (* -1/4 (+ alpha beta)) (* -1/8 i)) (* -3/16 (+ alpha beta))) i)
(/ (- (+ (* -1/4 (+ alpha beta)) (* -1/8 i)) (* -3/16 (+ alpha beta))) i)
-1/8
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-1/8
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(/ (+ (* -3/16 (+ alpha beta)) (* 1/8 i)) i)
(/ (+ (* -3/16 (+ alpha beta)) (* 1/8 i)) i)
1/8
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(+ 1/8 (* -3/16 (/ (+ alpha beta) i)))
1/8
(+ 1/8 (* -3/16 (/ (+ alpha beta) i)))
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(* 1/8 i)
(* i (+ 1/8 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* -3/16 (+ alpha beta))) i))))
(* i (+ 1/8 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* -3/16 (+ alpha beta))) i))))
(* i (+ 1/8 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* -3/16 (+ alpha beta))) i))))
(* 1/8 i)
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(* 1/16 alpha)
(* alpha (+ 1/16 (* -1 (/ (* i (- (* -1/4 (/ beta i)) (+ 1/8 (* -3/16 (/ beta i))))) alpha))))
(* alpha (+ 1/16 (* -1 (/ (* i (- (* -1/4 (/ beta i)) (+ 1/8 (* -3/16 (/ beta i))))) alpha))))
(* alpha (+ 1/16 (* -1 (/ (* i (- (* -1/4 (/ beta i)) (+ 1/8 (* -3/16 (/ beta i))))) alpha))))
(* 1/16 alpha)
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(* -1 (* alpha (- (/ (* i (- (* -1/4 (/ beta i)) (+ 1/8 (* -3/16 (/ beta i))))) alpha) 1/16)))
(* -1 (* i (- (* -1/4 (/ alpha i)) (+ 1/8 (* -3/16 (/ alpha i))))))
(+ (* -1 (* i (- (* -1/4 (/ alpha i)) (+ 1/8 (* -3/16 (/ alpha i)))))) (* 1/16 beta))
(+ (* -1 (* i (- (* -1/4 (/ alpha i)) (+ 1/8 (* -3/16 (/ alpha i)))))) (* 1/16 beta))
(+ (* -1 (* i (- (* -1/4 (/ alpha i)) (+ 1/8 (* -3/16 (/ alpha i)))))) (* 1/16 beta))
(* 1/16 beta)
(* beta (+ 1/16 (* -1 (/ (* i (- (* -1/4 (/ alpha i)) (+ 1/8 (* -3/16 (/ alpha i))))) beta))))
(* beta (+ 1/16 (* -1 (/ (* i (- (* -1/4 (/ alpha i)) (+ 1/8 (* -3/16 (/ alpha i))))) beta))))
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(* 1/16 beta)
(* -1 (* beta (- (/ (* i (- (* -1/4 (/ alpha i)) (+ 1/8 (* -3/16 (/ alpha i))))) beta) 1/16)))
(* -1 (* beta (- (/ (* i (- (* -1/4 (/ alpha i)) (+ 1/8 (* -3/16 (/ alpha i))))) beta) 1/16)))
(* -1 (* beta (- (/ (* i (- (* -1/4 (/ alpha i)) (+ 1/8 (* -3/16 (/ alpha i))))) beta) 1/16)))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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1/16
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1/16
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(/ (* i (+ beta i)) (pow alpha 2))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* alpha (* beta i))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (+ (* 2 (/ beta (+ alpha beta))) (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta)))) (+ alpha beta))))))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
(* 1/2 (pow i 3))
(* (pow i 3) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))
(* 1/2 (pow i 3))
(* -1 (* (pow i 3) (- (* -1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i))))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1/2 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) i))) i)) 1/2)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) (* -1/2 (/ (* alpha (* beta (+ alpha beta))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) i))) i))) i)) 1/2)))
(/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* alpha (- (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 3)) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(* alpha (* i (+ beta i)))
(* alpha (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha)))
(* alpha (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(* alpha (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 3)) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(* beta (* i (+ alpha i)))
(* beta (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)))
(* beta (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(* beta (- (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(* alpha (* beta (* i (+ alpha beta))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(pow i 4)
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(* (pow i 2) (pow (+ beta i) 2))
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(* (pow alpha 2) (* i (+ beta i)))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(* (pow i 2) (pow (+ alpha i) 2))
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(* (pow beta 2) (* i (+ alpha i)))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(* (pow beta 2) (pow i 2))
(* (pow i 2) (+ (* 2 (* beta i)) (pow beta 2)))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(pow i 4)
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(pow i 4)
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(pow i 4)
(+ (* 2 (* beta (pow i 3))) (pow i 4))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(* (pow beta 2) (pow i 2))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
(* (pow beta 2) (pow i 2))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
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)))
(/ (* alpha (* beta i)) (- (pow (+ alpha beta) 2) 1))
(* i (+ (* i (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) beta))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (/ (* i (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)) (+ (* -1 (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))))))))) beta)) (* -1 (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))))) beta))))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta))
(* 12 (/ beta i))
(+ (* 12 (/ alpha i)) (* 12 (/ beta i)))
(+ (* 12 (/ alpha i)) (* 12 (/ beta i)))
(+ (* 12 (/ alpha i)) (* 12 (/ beta i)))
(* 12 (/ alpha i))
(* alpha (+ (* 12 (/ beta (* alpha i))) (* 12 (/ 1 i))))
(* alpha (+ (* 12 (/ beta (* alpha i))) (* 12 (/ 1 i))))
(* alpha (+ (* 12 (/ beta (* alpha i))) (* 12 (/ 1 i))))
(* 12 (/ alpha i))
(* -1 (* alpha (- (* -12 (/ beta (* alpha i))) (* 12 (/ 1 i)))))
(* -1 (* alpha (- (* -12 (/ beta (* alpha i))) (* 12 (/ 1 i)))))
(* -1 (* alpha (- (* -12 (/ beta (* alpha i))) (* 12 (/ 1 i)))))
(* 12 (/ alpha i))
(+ (* 12 (/ alpha i)) (* 12 (/ beta i)))
(+ (* 12 (/ alpha i)) (* 12 (/ beta i)))
(+ (* 12 (/ alpha i)) (* 12 (/ beta i)))
(* 12 (/ beta i))
(* beta (+ (* 12 (/ alpha (* beta i))) (* 12 (/ 1 i))))
(* beta (+ (* 12 (/ alpha (* beta i))) (* 12 (/ 1 i))))
(* beta (+ (* 12 (/ alpha (* beta i))) (* 12 (/ 1 i))))
(* 12 (/ beta i))
(* -1 (* beta (- (* -12 (/ alpha (* beta i))) (* 12 (/ 1 i)))))
(* -1 (* beta (- (* -12 (/ alpha (* beta i))) (* 12 (/ 1 i)))))
(* -1 (* beta (- (* -12 (/ alpha (* beta i))) (* 12 (/ 1 i)))))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 (/ (+ alpha beta) i))
(* 12 beta)
(+ (* 12 alpha) (* 12 beta))
(+ (* 12 alpha) (* 12 beta))
(+ (* 12 alpha) (* 12 beta))
(* 12 alpha)
(* alpha (+ 12 (* 12 (/ beta alpha))))
(* alpha (+ 12 (* 12 (/ beta alpha))))
(* alpha (+ 12 (* 12 (/ beta alpha))))
(* 12 alpha)
(* -1 (* alpha (- (* -12 (/ beta alpha)) 12)))
(* -1 (* alpha (- (* -12 (/ beta alpha)) 12)))
(* -1 (* alpha (- (* -12 (/ beta alpha)) 12)))
(* 12 alpha)
(+ (* 12 alpha) (* 12 beta))
(+ (* 12 alpha) (* 12 beta))
(+ (* 12 alpha) (* 12 beta))
(* 12 beta)
(* beta (+ 12 (* 12 (/ alpha beta))))
(* beta (+ 12 (* 12 (/ alpha beta))))
(* beta (+ 12 (* 12 (/ alpha beta))))
(* 12 beta)
(* -1 (* beta (- (* -12 (/ alpha beta)) 12)))
(* -1 (* beta (- (* -12 (/ alpha beta)) 12)))
(* -1 (* beta (- (* -12 (/ alpha beta)) 12)))

Outputs
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 alpha (.f64 beta i)) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 i (fma.f64 i (-.f64 (fma.f64 alpha (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 alpha beta) (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(.f64 i (fma.f64 i (-.f64 (fma.f64 i (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (fma.f64 #s(literal 32 binary64) (/.f64 (.f64 alpha beta) (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 alpha beta) (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha 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#s(literal -1 binary64))))))))) (fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 alpha beta) (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (.f64 (.f64 (+.f64 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1/16
#s(literal 1/16 binary64)
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))) i))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (* 8 (/ (* alpha beta) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (+ (* 2 (/ alpha (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))))
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alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))))))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))
(.f64 i (+.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #s(literal -1/64 binary64)) i)))
(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))))))) (pow i 3))))))))))
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(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))))
(.f64 (neg.f64 i) (-.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1/8 binary64)) i) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (* -1/8 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (* -1/64 (/ (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) i)))) i)) 1/8)))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) beta))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (/ (* i (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)) (+ (* -1 (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))))))))) beta)) (* -1 (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))))) beta))))) (+ (* -1 (* i (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta))
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(* 1/8 i)
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(* 1/8 i)
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(* 1/8 i)
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(*.f64 i #s(literal 1/8 binary64))
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(* 1/8 i)
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(+ alpha beta)
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alpha
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(+.f64 alpha (*.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(+.f64 alpha (*.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 beta alpha))))
alpha
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(+ alpha (+ beta (* 2 i)))
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(+ alpha (+ beta (* 2 i)))
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(+ alpha (+ beta (* 2 i)))
(+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(+.f64 beta (*.f64 beta (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 alpha beta))))
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(+.f64 beta (*.f64 beta (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
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1/16
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1/16
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(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))))))) (pow i 3))))))))))
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(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))))
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(* 1/16 beta)
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(* 1/16 beta)
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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#s(literal 1/16 binary64)
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(* alpha (* beta i))
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(.f64 i (fma.f64 i (+.f64 alpha (+.f64 (fma.f64 alpha (/.f64 beta (+.f64 alpha beta)) beta) (.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha beta) (+.f64 alpha beta))))) (.f64 alpha beta)))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
(.f64 i (fma.f64 i (+.f64 (+.f64 (+.f64 alpha beta) (fma.f64 i (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (+.f64 alpha beta))) (.f64 #s(literal -2 binary64) (/.f64 (+.f64 alpha (+.f64 (fma.f64 alpha (/.f64 beta (+.f64 alpha beta)) beta) (.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha beta) (+.f64 alpha beta))))) (+.f64 alpha beta)))) (/.f64 (.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha beta) (+.f64 alpha beta)))) (.f64 alpha beta)))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (+ (* 2 (/ beta (+ alpha beta))) (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta)))) (+ alpha beta))))))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
(.f64 i (fma.f64 i (+.f64 (+.f64 (+.f64 alpha beta) (fma.f64 i (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (+.f64 alpha beta))) (.f64 i (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (+.f64 alpha beta))) (.f64 #s(literal -2 binary64) (/.f64 (+.f64 alpha (+.f64 (fma.f64 alpha (/.f64 beta (+.f64 alpha beta)) beta) (.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha beta) (+.f64 alpha beta))))) (+.f64 alpha beta)))) (+.f64 alpha beta)))))) (.f64 #s(literal -2 binary64) (/.f64 (+.f64 alpha (+.f64 (fma.f64 alpha (/.f64 beta (+.f64 alpha beta)) beta) (.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha beta) (+.f64 alpha beta))))) (+.f64 alpha beta)))) (/.f64 (.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha beta) (+.f64 alpha beta)))) (*.f64 alpha beta)))
(* 1/2 (pow i 3))
(.f64 (.f64 i (*.f64 i i)) #s(literal 1/2 binary64))
(* (pow i 3) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(.f64 (.f64 i (.f64 i i)) (+.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal -1/4 binary64))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
(.f64 (.f64 i (.f64 i i)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta)) (.f64 i i))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/2 binary64) (.f64 (+.f64 alpha beta) #s(literal -1/4 binary64)))) (*.f64 i i)))))
(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))
(.f64 (.f64 i (.f64 i i)) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta)) (.f64 i i))) (.f64 (/.f64 (.f64 alpha (.f64 beta (+.f64 alpha beta))) (.f64 i (.f64 i i))) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/2 binary64) (.f64 (+.f64 alpha beta) #s(literal -1/4 binary64))) (.f64 i i)) (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta)) (.f64 (+.f64 alpha beta) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/2 binary64) (.f64 (+.f64 alpha beta) #s(literal -1/4 binary64))))))) (.f64 i (*.f64 i i))))))))
(* 1/2 (pow i 3))
(.f64 (.f64 i (*.f64 i i)) #s(literal 1/2 binary64))
(* -1 (* (pow i 3) (- (* -1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i))))))
(.f64 (neg.f64 (.f64 i (.f64 i i))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1/2 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) i))) i)) 1/2)))
(.f64 (neg.f64 (.f64 i (.f64 i i))) (+.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1/2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta))) (.f64 (+.f64 alpha beta) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1/2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))))) i))) i) #s(literal -1/2 binary64)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) (* -1/2 (/ (* alpha (* beta (+ alpha beta))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) i))) i))) i)) 1/2)))
(.f64 (neg.f64 (.f64 i (.f64 i i))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1/2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))) (/.f64 (+.f64 (-.f64 (.f64 (.f64 alpha (/.f64 (.f64 beta (+.f64 alpha beta)) i)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta))) (.f64 (+.f64 alpha beta) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1/2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta))) (.f64 (+.f64 alpha beta) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1/2 binary64) (.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))))))) i))) i)) i)) #s(literal -1/2 binary64)))
(/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i)))
(.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(fma.f64 alpha (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))))
(+ (* alpha (- (+ (* alpha (- (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(fma.f64 alpha (fma.f64 alpha (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 3)) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 i (/.f64 (+.f64 beta i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))))
(* alpha (* i (+ beta i)))
(.f64 (.f64 alpha i) (+.f64 beta i))
(* alpha (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha)))
(.f64 alpha (-.f64 (fma.f64 i (+.f64 beta i) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) alpha)) (/.f64 (.f64 (*.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)) alpha)))
(* alpha (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(.f64 alpha (-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 alpha alpha))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)) alpha))))
(* alpha (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(.f64 alpha (-.f64 (-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 alpha alpha))))) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta))))))) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (.f64 (*.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)) alpha))))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(.f64 (neg.f64 alpha) (.f64 i (-.f64 (neg.f64 i) beta)))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (-.f64 (.f64 i (-.f64 (neg.f64 i) beta)) (/.f64 (fma.f64 (neg.f64 i) (-.f64 (.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta)) (.f64 i (+.f64 beta i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))) alpha)))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (-.f64 (.f64 i (-.f64 (neg.f64 i) beta)) (/.f64 (+.f64 (neg.f64 (fma.f64 i (-.f64 (.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta)) (.f64 i (+.f64 beta i))) (/.f64 (fma.f64 (neg.f64 (.f64 i i)) (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (neg.f64 i) (-.f64 (.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta)) (.f64 i (+.f64 beta i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))))) alpha))) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))) alpha)))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (-.f64 (.f64 i (-.f64 (neg.f64 i) beta)) (/.f64 (+.f64 (neg.f64 (fma.f64 i (-.f64 (.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta)) (.f64 i (+.f64 beta i))) (/.f64 (+.f64 (neg.f64 (fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (neg.f64 (.f64 i i)) (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (neg.f64 i) (-.f64 (.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta)) (.f64 i (+.f64 beta i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta)))))) alpha))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (neg.f64 i) (-.f64 (.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta)) (.f64 i (+.f64 beta i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))))) alpha))) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))) alpha)))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i)))
(.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(fma.f64 beta (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))))
(+ (* beta (- (+ (* beta (- (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(fma.f64 beta (-.f64 (fma.f64 beta (fma.f64 i (/.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (.f64 (neg.f64 i) (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))))) (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 3)) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (fma.f64 i (/.f64 (+.f64 alpha i) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64)))))) (fma.f64 i (/.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha)) (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (.f64 (neg.f64 i) (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))))))) (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (fma.f64 i #s(literal 2 binary64) alpha)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))))
(* beta (* i (+ alpha i)))
(.f64 (.f64 beta i) (+.f64 alpha i))
(* beta (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)))
(.f64 beta (-.f64 (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (.f64 i (+.f64 alpha i))) (/.f64 (.f64 (*.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)) beta)))
(* beta (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(.f64 beta (-.f64 (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 beta beta))))) (fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha)))) (.f64 beta beta)) (/.f64 (.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)) beta))))
(* beta (- (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(.f64 beta (-.f64 (-.f64 (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 beta beta))))) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha))))))) (.f64 beta (.f64 beta beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha)))) (.f64 beta beta)) (/.f64 (.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)) beta))))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 (.f64 beta i) (-.f64 (neg.f64 i) alpha)))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(.f64 (neg.f64 beta) (-.f64 (.f64 i (-.f64 (neg.f64 i) alpha)) (/.f64 (fma.f64 (neg.f64 i) (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (.f64 (neg.f64 i) (+.f64 alpha i))) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))) beta)))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(neg.f64 (.f64 beta (-.f64 (.f64 i (-.f64 (neg.f64 i) alpha)) (/.f64 (+.f64 (neg.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (.f64 (neg.f64 i) (+.f64 alpha i))) (/.f64 (fma.f64 (neg.f64 (.f64 i i)) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 (neg.f64 i) (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (.f64 (neg.f64 i) (+.f64 alpha i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))))) beta))) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))) beta))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(.f64 (neg.f64 beta) (-.f64 (.f64 i (-.f64 (neg.f64 i) alpha)) (/.f64 (+.f64 (neg.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (.f64 (neg.f64 i) (+.f64 alpha i))) (/.f64 (+.f64 (neg.f64 (fma.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 (neg.f64 (.f64 i i)) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 (neg.f64 i) (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (.f64 (neg.f64 i) (+.f64 alpha i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))))) beta))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 (neg.f64 i) (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (.f64 (neg.f64 i) (+.f64 alpha i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))))) beta))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))) beta)))
(* alpha (* beta (* i (+ alpha beta))))
(.f64 (.f64 alpha beta) (*.f64 i (+.f64 alpha beta)))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(.f64 i (fma.f64 i (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta)) (.f64 alpha (.f64 beta (+.f64 alpha beta)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(.f64 i (fma.f64 alpha (.f64 beta (+.f64 alpha beta)) (.f64 i (fma.f64 alpha beta (fma.f64 i (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(.f64 i (fma.f64 i (fma.f64 alpha beta (fma.f64 i (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) i) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 alpha (.f64 beta (+.f64 alpha beta)))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1 binary64)))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (fma.f64 alpha (/.f64 beta (.f64 i i)) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (fma.f64 alpha (/.f64 beta (.f64 i i)) (fma.f64 alpha (/.f64 (.f64 beta (+.f64 alpha beta)) (.f64 i (.f64 i i))) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 i i)))))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1 binary64)))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) i))) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) i)))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) (/.f64 (-.f64 (.f64 alpha (/.f64 (.f64 beta (+.f64 alpha beta)) i)) (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 alpha beta)))) i))) i)))
(* (pow i 2) (pow (+ beta i) 2))
(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (.f64 alpha i) (fma.f64 i (+.f64 beta i) (*.f64 (+.f64 beta i) (+.f64 beta i)))))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 alpha (fma.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (.f64 alpha i) (+.f64 beta i))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 alpha (fma.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (.f64 alpha i) (+.f64 beta i))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))))
(* (pow alpha 2) (* i (+ beta i)))
(.f64 (.f64 i (+.f64 beta i)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) alpha)))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 alpha alpha))))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 alpha alpha))))))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(neg.f64 (.f64 (.f64 alpha alpha) (*.f64 i (-.f64 (neg.f64 i) beta))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(.f64 (.f64 alpha alpha) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) beta) (/.f64 (.f64 i (-.f64 (.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta)) (*.f64 i (+.f64 beta i)))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (.f64 alpha alpha) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) beta) (/.f64 (fma.f64 i (-.f64 (.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta)) (.f64 i (+.f64 beta i))) (neg.f64 (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) alpha)))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (.f64 alpha alpha) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) beta) (/.f64 (fma.f64 i (-.f64 (.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta)) (.f64 i (+.f64 beta i))) (neg.f64 (.f64 (.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) alpha)))) alpha))))
(* (pow i 2) (pow (+ alpha i) 2))
(.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i)))
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 beta (.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i)))) (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 beta (fma.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (.f64 beta i) (+.f64 alpha i))) (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 beta (fma.f64 i (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (.f64 beta i) (+.f64 alpha i))) (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))))
(* (pow beta 2) (* i (+ alpha i)))
(.f64 (.f64 i (*.f64 beta beta)) (+.f64 alpha i))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(.f64 (.f64 beta beta) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (.f64 i (+.f64 alpha i))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (*.f64 beta beta))))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (*.f64 beta beta))))))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 (.f64 i (*.f64 beta beta)) (-.f64 (neg.f64 i) alpha)))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(.f64 (.f64 beta beta) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (.f64 (neg.f64 i) (+.f64 alpha i)))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(.f64 (.f64 beta beta) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (-.f64 (.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (.f64 (neg.f64 i) (+.f64 alpha i)))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) beta)) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
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(* (pow beta 2) (pow i 2))
(.f64 (.f64 beta i) (*.f64 beta i))
(* (pow i 2) (+ (* 2 (* beta i)) (pow beta 2)))
(.f64 (.f64 i i) (fma.f64 beta beta (.f64 (.f64 beta i) #s(literal 2 binary64))))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(.f64 (.f64 i i) (fma.f64 beta beta (*.f64 i (fma.f64 beta #s(literal 2 binary64) i))))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(.f64 (.f64 i i) (fma.f64 beta beta (*.f64 i (fma.f64 beta #s(literal 2 binary64) i))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 beta i) #s(literal 1 binary64)))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta i) (/.f64 (.f64 beta beta) (*.f64 i i)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta i) (/.f64 (.f64 beta beta) (*.f64 i i)))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
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(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
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(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
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(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(+ (* 2 (* beta (pow i 3))) (pow i 4))
(fma.f64 #s(literal 2 binary64) (.f64 beta (.f64 i (*.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(fma.f64 beta (fma.f64 beta (.f64 i i) (.f64 #s(literal 2 binary64) (.f64 i (.f64 i i)))) (pow.f64 i #s(literal 4 binary64)))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(fma.f64 beta (fma.f64 beta (.f64 i i) (.f64 #s(literal 2 binary64) (.f64 i (.f64 i i)))) (pow.f64 i #s(literal 4 binary64)))
(* (pow beta 2) (pow i 2))
(.f64 (.f64 beta i) (*.f64 beta i))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (*.f64 i i)))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
(.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (fma.f64 i i (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 beta beta)))))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
(.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (fma.f64 i i (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 beta beta)))))
(* (pow beta 2) (pow i 2))
(.f64 (.f64 beta i) (*.f64 beta i))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (*.f64 i i)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (-.f64 (.f64 i i) (/.f64 (-.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -2 binary64)) (/.f64 (pow.f64 i #s(literal 4 binary64)) beta)) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (-.f64 (.f64 i i) (/.f64 (-.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -2 binary64)) (/.f64 (pow.f64 i #s(literal 4 binary64)) beta)) beta)))
beta
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(+.f64 alpha (*.f64 (/.f64 beta alpha) alpha))
(* alpha (+ 1 (/ beta alpha)))
(+.f64 alpha (*.f64 (/.f64 beta alpha) alpha))
(* alpha (+ 1 (/ beta alpha)))
(+.f64 alpha (*.f64 (/.f64 beta alpha) alpha))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(neg.f64 (*.f64 alpha (+.f64 (/.f64 (neg.f64 beta) alpha) #s(literal -1 binary64))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(neg.f64 (*.f64 alpha (+.f64 (/.f64 (neg.f64 beta) alpha) #s(literal -1 binary64))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(neg.f64 (*.f64 alpha (+.f64 (/.f64 (neg.f64 beta) alpha) #s(literal -1 binary64))))
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(+.f64 beta (*.f64 (/.f64 alpha beta) beta))
(* beta (+ 1 (/ alpha beta)))
(+.f64 beta (*.f64 (/.f64 alpha beta) beta))
(* beta (+ 1 (/ alpha beta)))
(+.f64 beta (*.f64 (/.f64 alpha beta) beta))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(neg.f64 (*.f64 beta (+.f64 (/.f64 (neg.f64 alpha) beta) #s(literal -1 binary64))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(neg.f64 (*.f64 beta (+.f64 (/.f64 (neg.f64 alpha) beta) #s(literal -1 binary64))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(neg.f64 (*.f64 beta (+.f64 (/.f64 (neg.f64 alpha) beta) #s(literal -1 binary64))))
(/ (* alpha (* beta i)) (- (pow (+ alpha beta) 2) 1))
(/.f64 (.f64 alpha (.f64 beta i)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(* i (+ (* i (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))))
(.f64 i (fma.f64 i (fma.f64 i (-.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (fma.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 alpha (.f64 beta (.f64 (+.f64 alpha beta) #s(literal 12 binary64)))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (-.f64 (+.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (/.f64 (*.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (* 8 (/ (* alpha beta) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (+ (* 2 (/ alpha (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ alpha (- (pow (+ alpha beta) 2) 1)) (+ (/ beta (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (- (pow (+ alpha beta) 2) 1))))
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binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (fma.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 alpha (.f64 beta (.f64 (+.f64 alpha beta) #s(literal 12 binary64)))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (.f64 (+.f64 alpha beta) #s(literal 12 binary64))) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))))) (fma.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 (.f64 alpha (.f64 beta (.f64 (+.f64 alpha beta) #s(literal 12 binary64)))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))) (-.f64 (+.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 alpha beta) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (.f64 (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))))))))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))
(.f64 i (+.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #s(literal -1/64 binary64)) i)))
(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))))))) (pow i 3))))))))))
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(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))))
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(.f64 (neg.f64 beta) (-.f64 (.f64 (/.f64 alpha (*.f64 beta i)) #s(literal -12 binary64)) (/.f64 #s(literal 12 binary64) i)))
(* -1 (* beta (- (* -12 (/ alpha (* beta i))) (* 12 (/ 1 i)))))
(.f64 (neg.f64 beta) (-.f64 (.f64 (/.f64 alpha (*.f64 beta i)) #s(literal -12 binary64)) (/.f64 #s(literal 12 binary64) i)))
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 (/ (+ alpha beta) i))
(/.f64 (*.f64 #s(literal 12 binary64) (+.f64 alpha beta)) i)
(* 12 beta)
(*.f64 beta #s(literal 12 binary64))
(+ (* 12 alpha) (* 12 beta))
(*.f64 #s(literal 12 binary64) (+.f64 alpha beta))
(+ (* 12 alpha) (* 12 beta))
(*.f64 #s(literal 12 binary64) (+.f64 alpha beta))
(+ (* 12 alpha) (* 12 beta))
(*.f64 #s(literal 12 binary64) (+.f64 alpha beta))
(* 12 alpha)
(*.f64 alpha #s(literal 12 binary64))
(* alpha (+ 12 (* 12 (/ beta alpha))))
(*.f64 alpha (fma.f64 (/.f64 beta alpha) #s(literal 12 binary64) #s(literal 12 binary64)))
(* alpha (+ 12 (* 12 (/ beta alpha))))
(*.f64 alpha (fma.f64 (/.f64 beta alpha) #s(literal 12 binary64) #s(literal 12 binary64)))
(* alpha (+ 12 (* 12 (/ beta alpha))))
(*.f64 alpha (fma.f64 (/.f64 beta alpha) #s(literal 12 binary64) #s(literal 12 binary64)))
(* 12 alpha)
(*.f64 alpha #s(literal 12 binary64))
(* -1 (* alpha (- (* -12 (/ beta alpha)) 12)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -12 binary64) #s(literal -12 binary64)))
(* -1 (* alpha (- (* -12 (/ beta alpha)) 12)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -12 binary64) #s(literal -12 binary64)))
(* -1 (* alpha (- (* -12 (/ beta alpha)) 12)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -12 binary64) #s(literal -12 binary64)))
(* 12 alpha)
(*.f64 alpha #s(literal 12 binary64))
(+ (* 12 alpha) (* 12 beta))
(*.f64 #s(literal 12 binary64) (+.f64 alpha beta))
(+ (* 12 alpha) (* 12 beta))
(*.f64 #s(literal 12 binary64) (+.f64 alpha beta))
(+ (* 12 alpha) (* 12 beta))
(*.f64 #s(literal 12 binary64) (+.f64 alpha beta))
(* 12 beta)
(*.f64 beta #s(literal 12 binary64))
(* beta (+ 12 (* 12 (/ alpha beta))))
(*.f64 beta (fma.f64 (/.f64 alpha beta) #s(literal 12 binary64) #s(literal 12 binary64)))
(* beta (+ 12 (* 12 (/ alpha beta))))
(*.f64 beta (fma.f64 (/.f64 alpha beta) #s(literal 12 binary64) #s(literal 12 binary64)))
(* beta (+ 12 (* 12 (/ alpha beta))))
(*.f64 beta (fma.f64 (/.f64 alpha beta) #s(literal 12 binary64) #s(literal 12 binary64)))
(* 12 beta)
(*.f64 beta #s(literal 12 binary64))
(* -1 (* beta (- (* -12 (/ alpha beta)) 12)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -12 binary64) #s(literal -12 binary64)))
(* -1 (* beta (- (* -12 (/ alpha beta)) 12)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -12 binary64) #s(literal -12 binary64)))
(* -1 (* beta (- (* -12 (/ alpha beta)) 12)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -12 binary64) #s(literal -12 binary64)))

rewrite355.0ms (2.7%)

Memory

23.9MiB live, 495.6MiB allocated

Rules

6 496×	`lower-*.f32`
6 472×	`lower-*.f64`
4 944×	`lower-/.f32`
4 928×	`lower-/.f64`
2 982×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	597
0	103	551
1	497	520
2	4459	515
0	10361	506

Stop Event

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

Counts

24 → 439

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))
(*.f64 i #s(literal 1/8 binary64))
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
(/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))
#s(approx (* i (+ alpha i)) (*.f64 alpha i))
(*.f64 alpha i)
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
(*.f64 i (/.f64 (+.f64 alpha i) beta))
(/.f64 (+.f64 alpha i) beta)
(-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))
(.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(+.f64 alpha beta)
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i)
(*.f64 (+.f64 alpha beta) #s(literal 12 binary64))

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

eval350.0ms (2.6%)

Memory: 29.8MiB live, 646.4MiB allocated
Compiler: Compiled 113 250 to 4 399 computations (96.1% saved)

prune395.0ms (3%)

Memory

-20.6MiB live, 666.5MiB allocated

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	1 913	24	1 937
Fresh	3	17	20
Picked	4	1	5
Done	0	1	1
Total	1 920	43	1 963

Accuracy

98.3%

Counts

1 963 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.1%	(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 1 binary64)))) (+.f64 alpha (-.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 1 binary64))))
▶	15.0%	(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
	15.0%	(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) #s(approx (* (* i i) (* (+ beta i) (+ beta i))) (.f64 (.f64 i i) (fma.f64 beta beta (.f64 i (fma.f64 beta #s(literal 2 binary64) i)))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	21.8%	(/.f64 (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	37.5%	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	15.0%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	31.4%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 i (/.f64 beta (+.f64 i alpha)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	31.4%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (+.f64 i alpha) (.f64 (/.f64 #s(literal 1 binary64) beta) i))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
▶	70.6%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	70.6%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (+.f64 (fma.f64 (/.f64 beta i) #s(literal -1/4 binary64) #s(literal -1/8 binary64)) (*.f64 #s(literal 3/16 binary64) (/.f64 beta i)))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	23.1%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) #s(approx (+ alpha beta) (+.f64 alpha (.f64 (/.f64 beta alpha) alpha)))))
	29.5%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) (exp.f64 (.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
	31.4%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
▶	31.0%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
	31.4%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -2 binary64)))))
	30.1%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (exp.f64 (.f64 (log.f64 (/.f64 beta (+.f64 i alpha))) #s(literal -1 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	64.2%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) (exp.f64 (.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
	70.5%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
▶	5.0%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
	70.5%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -2 binary64)))))
	48.8%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta)) #s(literal -1 binary64)))))
	33.1%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) #s(literal -1 binary64)))))
▶	70.6%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	7.7%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 alpha #s(literal 1/16 binary64)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	19.7%	(/.f64 #s(approx (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64)))
	34.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 i (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))
	38.1%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) #s(approx (+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i)) #s(literal 1/4 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (* i i) (+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i))) (.f64 i (.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	14.9%	(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i (+.f64 i beta)) (.f64 i (+.f64 i beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	37.5%	(.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	70.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))) #s(literal -1 binary64)))
	70.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))))
	14.9%	#s(approx (/ (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (+ (* i 2) (+ alpha beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
	22.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
	11.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 i alpha)) beta) beta))
	31.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta))
	12.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
✓	9.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
	14.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
	31.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
✓	70.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 2 227 to 1 074 computations (51.8% saved)

simplify254.0ms (1.9%)

Memory

2.7MiB live, 252.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
cost-diff	0	#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
cost-diff	0	(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	384	(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
cost-diff	0	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i))))
cost-diff	0	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	320	(/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)
cost-diff	576	(fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))))
cost-diff	0	(/.f64 (+.f64 alpha i) beta)
cost-diff	0	(*.f64 i (/.f64 (+.f64 alpha i) beta))
cost-diff	0	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
cost-diff	0	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
cost-diff	0	#s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta))
cost-diff	0	(*.f64 i #s(literal 1/8 binary64))
cost-diff	0	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))
cost-diff	0	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
cost-diff	0	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))))
cost-diff	0	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	128	(-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))
cost-diff	704	(.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))

Rules

7 630×	`lower-fma.f32`
7 620×	`lower-fma.f64`
4 112×	`lower-*.f32`
4 092×	`lower-*.f64`
2 700×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1041
0	111	1041
1	214	1013
2	671	961
3	2954	894
4	4386	818
5	6980	808
0	8130	790

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))))
#s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))
(.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))
i
(-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))
#s(literal 1/8 binary64)
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)
(*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))
(+.f64 alpha beta)
alpha
beta
#s(literal -1/16 binary64)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))
(*.f64 i #s(literal 1/8 binary64))
i
#s(literal 1/8 binary64)
#s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta))
(+.f64 alpha beta)
alpha
beta
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
(*.f64 i (/.f64 (+.f64 alpha i) beta))
i
(/.f64 (+.f64 alpha i) beta)
(+.f64 alpha i)
alpha
beta
#s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta))
(+.f64 alpha beta)
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i))))
(.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))
(neg.f64 i)
i
#s(approx (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i))
(/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)
(fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))))
(+.f64 alpha beta)
alpha
beta
#s(literal -1/4 binary64)
(fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))
#s(literal -1/8 binary64)
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
#s(literal 3/16 binary64)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(*.f64 i i)
i
(*.f64 (+.f64 beta i) (+.f64 beta i))
(+.f64 beta i)
beta
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))
(fma.f64 i #s(literal 2 binary64) beta)

Outputs
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (fma.f64 i #s(literal 1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64))))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (fma.f64 i #s(literal 1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)))))
#s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))
#s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (fma.f64 i #s(literal 1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64))))
(.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))
(fma.f64 i #s(literal 1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)))
i
(-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))
(fma.f64 (+.f64 alpha beta) (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)
(*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))
(+.f64 alpha beta)
alpha
beta
#s(literal -1/16 binary64)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))
#s(literal 2 binary64)
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))
(*.f64 i #s(literal 1/8 binary64))
i
#s(literal 1/8 binary64)
#s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta))
(+.f64 alpha beta)
alpha
beta
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 i alpha) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 i alpha) beta)))
(*.f64 i (/.f64 (+.f64 alpha i) beta))
(*.f64 i (/.f64 (+.f64 i alpha) beta))
i
(/.f64 (+.f64 alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(+.f64 alpha i)
(+.f64 i alpha)
alpha
beta
#s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta))
(+.f64 alpha beta)
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal -1/8 binary64))))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i))))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal -1/8 binary64)))))
(.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))
(.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal -1/8 binary64))))
(neg.f64 i)
i
#s(approx (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i))
#s(approx (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal -1/8 binary64)))
(/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)
(fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal -1/8 binary64))
(fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))))
(fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)))
(+.f64 alpha beta)
alpha
beta
#s(literal -1/4 binary64)
(fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))
#s(literal -1/8 binary64)
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
#s(literal 3/16 binary64)
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 i (.f64 (+.f64 i beta) (.f64 i (+.f64 i beta))))) (.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (.f64 (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64)) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 i (.f64 (+.f64 i beta) (*.f64 i (+.f64 i beta))))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))
#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 i (.f64 (+.f64 i beta) (*.f64 i (+.f64 i beta)))))
(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(.f64 i (.f64 (+.f64 i beta) (*.f64 i (+.f64 i beta))))
(*.f64 i i)
i
(*.f64 (+.f64 beta i) (+.f64 beta i))
(*.f64 (+.f64 i beta) (+.f64 i beta))
(+.f64 beta i)
(+.f64 i beta)
beta
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
(.f64 (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64)) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
(fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))
(fma.f64 i #s(literal 2 binary64) beta)

localize488.0ms (3.7%)

Memory

-22.1MiB live, 331.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08041000976844202	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
accuracy	0.44154181871602977	#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
accuracy	5.82397279683613	(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	48.66684286565374	(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
accuracy	0.0625	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.13671875	(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
accuracy	0.20511630861065208	(fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))))
accuracy	18.84547766410733	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i))))
accuracy	0.0625	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
accuracy	0.1484375	(*.f64 i (/.f64 (+.f64 alpha i) beta))
accuracy	43.05407547222098	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
accuracy	43.75891470440315	#s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta))
accuracy	0	(*.f64 i #s(literal 1/8 binary64))
accuracy	0.0625	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
accuracy	18.939164899568485	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))
accuracy	43.75891470440315	#s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta))
accuracy	0.00390625	(-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))
accuracy	0.05078125	(.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))
accuracy	0.0625	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	18.84547766410733	#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))))

Samples

305.0ms	217×	0	valid
21.0ms	10×	3	valid
13.0ms	20×	1	valid
8.0ms	8×	2	valid
1.0ms	1×	4	valid

Compiler

Compiled 813 to 59 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 46.0ms (40% of total)

ival-add: 37.0ms (32.2% of total)

ival-div: 18.0ms (15.7% of total)

adjust: 9.0ms (7.8% of total)

ival-sub: 3.0ms (2.6% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series187.0ms (1.4%)

Memory

16.2MiB live, 200.5MiB allocated

Counts

21 → 708

Calls

Call 1

Inputs
#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) (patch (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (patch (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (patch #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta))) (patch (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) (patch #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (.f64 i #s(literal 1/8 binary64)) (patch (.f64 i #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta)) (patch #s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta))) (patch (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) (patch #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) #<representation binary64>) () ())
#s(alt (.f64 i (/.f64 (+.f64 alpha i) beta)) (patch (.f64 i (/.f64 (+.f64 alpha i) beta)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 alpha i) beta) (patch (/.f64 (+.f64 alpha i) beta) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) (patch (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i) (patch (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (patch (/.f64 #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (patch #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))) (patch (/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (patch (/.f64 #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (patch #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/16 (+ alpha beta)) (taylor 0 i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 (+ alpha beta)) (* 1/8 i)) (taylor 0 i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 (+ alpha beta)) (* 1/8 i)) (taylor 0 i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 (+ alpha beta)) (* 1/8 i)) (taylor 0 i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 i) (taylor inf i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1/8 (* 1/16 (/ (+ alpha beta) i)))) (taylor inf i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1/8 (* 1/16 (/ (+ alpha beta) i)))) (taylor inf i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1/8 (* 1/16 (/ (+ alpha beta) i)))) (taylor inf i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 i) (taylor -inf i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* -1/16 (/ (+ alpha beta) i)) 1/8))) (taylor -inf i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* -1/16 (/ (+ alpha beta) i)) 1/8))) (taylor -inf i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* -1/16 (/ (+ alpha beta) i)) 1/8))) (taylor -inf i) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* i (- 1/8 (* -1/16 (/ beta i)))) (taylor 0 alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 alpha) (* i (- 1/8 (* -1/16 (/ beta i))))) (taylor 0 alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 alpha) (* i (- 1/8 (* -1/16 (/ beta i))))) (taylor 0 alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 alpha) (* i (- 1/8 (* -1/16 (/ beta i))))) (taylor 0 alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/16 alpha) (taylor inf alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha))) (taylor inf alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha))) (taylor inf alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha))) (taylor inf alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/16 alpha) (taylor -inf alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha)) 1/16))) (taylor -inf alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha)) 1/16))) (taylor -inf alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha)) 1/16))) (taylor -inf alpha) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* i (- 1/8 (* -1/16 (/ alpha i)))) (taylor 0 beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 beta) (* i (- 1/8 (* -1/16 (/ alpha i))))) (taylor 0 beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 beta) (* i (- 1/8 (* -1/16 (/ alpha i))))) (taylor 0 beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 beta) (* i (- 1/8 (* -1/16 (/ alpha i))))) (taylor 0 beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/16 beta) (taylor inf beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta))) (taylor inf beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta))) (taylor inf beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta))) (taylor inf beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/16 beta) (taylor -inf beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta)) 1/16))) (taylor -inf beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta)) 1/16))) (taylor -inf beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta)) 1/16))) (taylor -inf beta) (#s(alt (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) (patch (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))) #<representation binary64>) () ())) ())
#s(alt (- 1/8 (* -1/16 (/ beta i))) (taylor 0 alpha) (#s(alt (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) (patch (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/8 (* 1/16 (/ alpha i))) (* -1/16 (/ beta i))) (taylor 0 alpha) (#s(alt (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) (patch (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/8 (* 1/16 (/ alpha i))) (* -1/16 (/ beta i))) (taylor 0 alpha) (#s(alt (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) (patch (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/8 (* 1/16 (/ alpha i))) (* -1/16 (/ beta i))) (taylor 0 alpha) (#s(alt (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) (patch (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt (* 1/16 (/ alpha i)) (taylor inf alpha) (#s(alt (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) (patch (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (+ (* 1/8 (/ 1 alpha)) (* 1/16 (/ 1 i))) (* -1/16 (/ beta (* alpha i))))) (taylor inf alpha) (#s(alt (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) (patch (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (+ (* 1/8 (/ 1 alpha)) (* 1/16 (/ 1 i))) (* -1/16 (/ beta (* alpha i))))) (taylor inf alpha) (#s(alt (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) (patch (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)) #<representation binary64>) () ())) ())
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#s(alt (* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (taylor inf beta) (#s(alt #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (patch #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i))))) (taylor -inf beta) (#s(alt #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (patch #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) (taylor -inf beta) (#s(alt #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (patch #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) (taylor -inf beta) (#s(alt #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (patch #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) (taylor -inf beta) (#s(alt #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (patch #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ (* 2 (* beta i)) (pow beta 2))) (taylor 0 i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2))) (taylor 0 i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2))) (taylor 0 i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor inf i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 4) (+ 1 (* 2 (/ beta i)))) (taylor inf i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2))))) (taylor inf i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2))))) (taylor inf i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor -inf i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 4) (+ 1 (* 2 (/ beta i)))) (taylor -inf i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i)))) (taylor -inf i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i)))) (taylor -inf i) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor 0 beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* beta (pow i 3))) (pow i 4)) (taylor 0 beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4)) (taylor 0 beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4)) (taylor 0 beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (pow i 2)) (taylor inf beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2))) (taylor inf beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (taylor inf beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (taylor inf beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (pow i 2)) (taylor -inf beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2))) (taylor -inf beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2))) (taylor -inf beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2))) (taylor -inf beta) (#s(alt (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (patch (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) #<representation binary64>) () ())) ())
#s(alt (* 3/16 beta) (taylor 0 alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/16 alpha) (* 3/16 beta)) (taylor 0 alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/16 alpha) (* 3/16 beta)) (taylor 0 alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/16 alpha) (* 3/16 beta)) (taylor 0 alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/16 alpha) (taylor inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 3/16 (* 3/16 (/ beta alpha)))) (taylor inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 3/16 (* 3/16 (/ beta alpha)))) (taylor inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 3/16 (* 3/16 (/ beta alpha)))) (taylor inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/16 alpha) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -3/16 (/ beta alpha)) 3/16))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -3/16 (/ beta alpha)) 3/16))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -3/16 (/ beta alpha)) 3/16))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/16 alpha) (taylor 0 beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/16 alpha) (* 3/16 beta)) (taylor 0 beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/16 alpha) (* 3/16 beta)) (taylor 0 beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/16 alpha) (* 3/16 beta)) (taylor 0 beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/16 beta) (taylor inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 3/16 (* 3/16 (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 3/16 (* 3/16 (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 3/16 (* 3/16 (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/16 beta) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -3/16 (/ alpha beta)) 3/16))) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -3/16 (/ alpha beta)) 3/16))) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -3/16 (/ alpha beta)) 3/16))) (taylor -inf beta) (#s(alt (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) (patch (.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)) #<representation binary64>) () ())) ())

Calls

177 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	inf	(/ (+ (* (+ alpha beta) -1/4) (+ (* i -1/8) (* (+ alpha beta) 3/16))) i)
1.0ms	i	@	-inf	(* i (- 1/8 (/ (* (+ alpha beta) -1/16) i)))
0.0ms	i	@	0	(* i (- 1/8 (/ (* (+ alpha beta) -1/16) i)))
0.0ms	alpha	@	0	(+ (* (+ alpha beta) -1/4) (+ (* i -1/8) (* (+ alpha beta) 3/16)))
0.0ms	i	@	-inf	(/ (+ (* (+ alpha beta) -1/4) (+ (* i -1/8) (* (+ alpha beta) 3/16))) i)

simplify561.0ms (4.2%)

Memory

24.6MiB live, 896.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 790×	`lower-fma.f64`
6 790×	`lower-fma.f32`
6 658×	`lower-*.f64`
6 658×	`lower-*.f32`
4 582×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1591	60947
1	5668	59891
0	8567	54774

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 704

Calls

Call 1

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

Outputs
(* 1/16 (+ alpha beta))
(*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta))
(+ (* 1/16 (+ alpha beta)) (* 1/8 i))
(fma.f64 #s(literal 1/16 binary64) (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) i))
(+ (* 1/16 (+ alpha beta)) (* 1/8 i))
(fma.f64 #s(literal 1/16 binary64) (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) i))
(+ (* 1/16 (+ alpha beta)) (* 1/8 i))
(fma.f64 #s(literal 1/16 binary64) (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) i))
(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* i (+ 1/8 (* 1/16 (/ (+ alpha beta) i))))
(*.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)))
(* i (+ 1/8 (* 1/16 (/ (+ alpha beta) i))))
(*.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)))
(* i (+ 1/8 (* 1/16 (/ (+ alpha beta) i))))
(*.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)))
(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* -1 (* i (- (* -1/16 (/ (+ alpha beta) i)) 1/8)))
(neg.f64 (*.f64 i (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal -1/16 binary64) #s(literal -1/8 binary64))))
(* -1 (* i (- (* -1/16 (/ (+ alpha beta) i)) 1/8)))
(neg.f64 (*.f64 i (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal -1/16 binary64) #s(literal -1/8 binary64))))
(* -1 (* i (- (* -1/16 (/ (+ alpha beta) i)) 1/8)))
(neg.f64 (*.f64 i (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal -1/16 binary64) #s(literal -1/8 binary64))))
(* i (- 1/8 (* -1/16 (/ beta i))))
(*.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)))
(+ (* 1/16 alpha) (* i (- 1/8 (* -1/16 (/ beta i)))))
(fma.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/16 binary64) alpha))
(+ (* 1/16 alpha) (* i (- 1/8 (* -1/16 (/ beta i)))))
(fma.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/16 binary64) alpha))
(+ (* 1/16 alpha) (* i (- 1/8 (* -1/16 (/ beta i)))))
(fma.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/16 binary64) alpha))
(* 1/16 alpha)
(*.f64 #s(literal 1/16 binary64) alpha)
(* alpha (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha)))
(*.f64 alpha (fma.f64 i (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) alpha) #s(literal 1/16 binary64)))
(* alpha (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha)))
(*.f64 alpha (fma.f64 i (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) alpha) #s(literal 1/16 binary64)))
(* alpha (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha)))
(*.f64 alpha (fma.f64 i (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) alpha) #s(literal 1/16 binary64)))
(* 1/16 alpha)
(*.f64 #s(literal 1/16 binary64) alpha)
(* -1 (* alpha (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha)) 1/16)))
(.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64))) alpha)) #s(literal -1/16 binary64)))
(* -1 (* alpha (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha)) 1/16)))
(.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64))) alpha)) #s(literal -1/16 binary64)))
(* -1 (* alpha (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ beta i)))) alpha)) 1/16)))
(.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64))) alpha)) #s(literal -1/16 binary64)))
(* i (- 1/8 (* -1/16 (/ alpha i))))
(*.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)))
(+ (* 1/16 beta) (* i (- 1/8 (* -1/16 (/ alpha i)))))
(fma.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/16 binary64) beta))
(+ (* 1/16 beta) (* i (- 1/8 (* -1/16 (/ alpha i)))))
(fma.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/16 binary64) beta))
(+ (* 1/16 beta) (* i (- 1/8 (* -1/16 (/ alpha i)))))
(fma.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/16 binary64) beta))
(* 1/16 beta)
(*.f64 #s(literal 1/16 binary64) beta)
(* beta (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta)))
(*.f64 beta (fma.f64 i (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)) beta) #s(literal 1/16 binary64)))
(* beta (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta)))
(*.f64 beta (fma.f64 i (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)) beta) #s(literal 1/16 binary64)))
(* beta (+ 1/16 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta)))
(*.f64 beta (fma.f64 i (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)) beta) #s(literal 1/16 binary64)))
(* 1/16 beta)
(*.f64 #s(literal 1/16 binary64) beta)
(* -1 (* beta (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta)) 1/16)))
(.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64))) beta)) #s(literal -1/16 binary64)))
(* -1 (* beta (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta)) 1/16)))
(.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64))) beta)) #s(literal -1/16 binary64)))
(* -1 (* beta (- (* -1 (/ (* i (- 1/8 (* -1/16 (/ alpha i)))) beta)) 1/16)))
(.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (.f64 i (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64))) beta)) #s(literal -1/16 binary64)))
(- 1/8 (* -1/16 (/ beta i)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64))
(- (+ 1/8 (* 1/16 (/ alpha i))) (* -1/16 (/ beta i)))
(+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) (*.f64 #s(literal 1/16 binary64) (/.f64 beta i))))
(- (+ 1/8 (* 1/16 (/ alpha i))) (* -1/16 (/ beta i)))
(+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) (*.f64 #s(literal 1/16 binary64) (/.f64 beta i))))
(- (+ 1/8 (* 1/16 (/ alpha i))) (* -1/16 (/ beta i)))
(+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) (*.f64 #s(literal 1/16 binary64) (/.f64 beta i))))
(* 1/16 (/ alpha i))
(/.f64 (*.f64 #s(literal 1/16 binary64) alpha) i)
(* alpha (- (+ (* 1/8 (/ 1 alpha)) (* 1/16 (/ 1 i))) (* -1/16 (/ beta (* alpha i)))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1/8 binary64) alpha) (+.f64 (/.f64 #s(literal 1/16 binary64) i) (.f64 #s(literal 1/16 binary64) (/.f64 beta (*.f64 alpha i))))))
(* alpha (- (+ (* 1/8 (/ 1 alpha)) (* 1/16 (/ 1 i))) (* -1/16 (/ beta (* alpha i)))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1/8 binary64) alpha) (+.f64 (/.f64 #s(literal 1/16 binary64) i) (.f64 #s(literal 1/16 binary64) (/.f64 beta (*.f64 alpha i))))))
(* alpha (- (+ (* 1/8 (/ 1 alpha)) (* 1/16 (/ 1 i))) (* -1/16 (/ beta (* alpha i)))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1/8 binary64) alpha) (+.f64 (/.f64 #s(literal 1/16 binary64) i) (.f64 #s(literal 1/16 binary64) (/.f64 beta (*.f64 alpha i))))))
(* 1/16 (/ alpha i))
(/.f64 (*.f64 #s(literal 1/16 binary64) alpha) i)
(* -1 (* alpha (- (* -1 (/ (- 1/8 (* -1/16 (/ beta i))) alpha)) (* 1/16 (/ 1 i)))))
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) alpha)) (/.f64 #s(literal 1/16 binary64) i)))
(* -1 (* alpha (- (* -1 (/ (- 1/8 (* -1/16 (/ beta i))) alpha)) (* 1/16 (/ 1 i)))))
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) alpha)) (/.f64 #s(literal 1/16 binary64) i)))
(* -1 (* alpha (- (* -1 (/ (- 1/8 (* -1/16 (/ beta i))) alpha)) (* 1/16 (/ 1 i)))))
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) alpha)) (/.f64 #s(literal 1/16 binary64) i)))
(- 1/8 (* -1/16 (/ alpha i)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64))
(- (+ 1/8 (* 1/16 (/ beta i))) (* -1/16 (/ alpha i)))
(+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) (/.f64 (*.f64 #s(literal 1/16 binary64) alpha) i)))
(- (+ 1/8 (* 1/16 (/ beta i))) (* -1/16 (/ alpha i)))
(+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) (/.f64 (*.f64 #s(literal 1/16 binary64) alpha) i)))
(- (+ 1/8 (* 1/16 (/ beta i))) (* -1/16 (/ alpha i)))
(+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) (/.f64 (*.f64 #s(literal 1/16 binary64) alpha) i)))
(* 1/16 (/ beta i))
(*.f64 #s(literal 1/16 binary64) (/.f64 beta i))
(* beta (- (+ (* 1/8 (/ 1 beta)) (* 1/16 (/ 1 i))) (* -1/16 (/ alpha (* beta i)))))
(.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 #s(literal 1/8 binary64) beta)) (.f64 #s(literal 1/16 binary64) (/.f64 alpha (*.f64 beta i)))))
(* beta (- (+ (* 1/8 (/ 1 beta)) (* 1/16 (/ 1 i))) (* -1/16 (/ alpha (* beta i)))))
(.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 #s(literal 1/8 binary64) beta)) (.f64 #s(literal 1/16 binary64) (/.f64 alpha (*.f64 beta i)))))
(* beta (- (+ (* 1/8 (/ 1 beta)) (* 1/16 (/ 1 i))) (* -1/16 (/ alpha (* beta i)))))
(.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 #s(literal 1/8 binary64) beta)) (.f64 #s(literal 1/16 binary64) (/.f64 alpha (*.f64 beta i)))))
(* 1/16 (/ beta i))
(*.f64 #s(literal 1/16 binary64) (/.f64 beta i))
(* -1 (* beta (- (* -1 (/ (- 1/8 (* -1/16 (/ alpha i))) beta)) (* 1/16 (/ 1 i)))))
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)) beta)) (/.f64 #s(literal 1/16 binary64) i)))
(* -1 (* beta (- (* -1 (/ (- 1/8 (* -1/16 (/ alpha i))) beta)) (* 1/16 (/ 1 i)))))
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)) beta)) (/.f64 #s(literal 1/16 binary64) i)))
(* -1 (* beta (- (* -1 (/ (- 1/8 (* -1/16 (/ alpha i))) beta)) (* 1/16 (/ 1 i)))))
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 alpha i) #s(literal 1/8 binary64)) beta)) (/.f64 #s(literal 1/16 binary64) i)))
(* 1/16 (/ (+ alpha beta) i))
(*.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i))
(/ (- (* 1/8 i) (* -1/16 (+ alpha beta))) i)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) i)) i)
(/ (- (* 1/8 i) (* -1/16 (+ alpha beta))) i)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) i)) i)
(/ (- (* 1/8 i) (* -1/16 (+ alpha beta))) i)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) i)) i)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/16 (/ (+ alpha beta) i)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64))
(+ 1/8 (* 1/16 (/ (+ alpha beta) i)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64))
(+ 1/8 (* 1/16 (/ (+ alpha beta) i)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/16 (/ (+ alpha beta) i)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64))
(+ 1/8 (* 1/16 (/ (+ alpha beta) i)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64))
(+ 1/8 (* 1/16 (/ (+ alpha beta) i)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 alpha (.f64 beta i)) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))))))) (pow i 3))))))))))
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(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))
(.f64 i (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64)))))
(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))))))) (pow i 3))))))))))
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(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))))
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(* -1 (* i (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (* -1/8 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (* -1/64 (/ (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) i)))) i)) 1/8)))
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(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) (* -1/8 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/8 (/ (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) i)) (* -1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i))))) i))) i)) 1/8)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
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beta
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beta
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(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))
(.f64 i (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64)))))
(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))))))) (pow i 3))))))))))
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(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))))
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(* -1 (* i (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (* -1/8 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (* -1/64 (/ (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) i)))) i)) 1/8)))
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(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) (* -1/8 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/8 (/ (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) i)) (* -1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i))))) i))) i)) 1/8)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))
(.f64 i (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64)))))
(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))))
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(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))))))) (pow i 3))))))))))
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(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))))))
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(* -1 (* i (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (* -1/8 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (* -1/64 (/ (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) i)))) i)) 1/8)))
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(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) (* -1/8 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/8 (/ (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) i)) (* -1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i))))) i))) i)) 1/8)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))
(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
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(* alpha (* beta i))
(.f64 alpha (.f64 beta i))
(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
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(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
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(* i (+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (+ (* 2 (/ beta (+ alpha beta))) (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta)))) (+ alpha beta))))))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))))
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(* 1/2 (pow i 3))
(.f64 (.f64 i (*.f64 i i)) #s(literal 1/2 binary64))
(* (pow i 3) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
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(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
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(* (pow i 3) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))
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(* 1/2 (pow i 3))
(.f64 (.f64 i (*.f64 i i)) #s(literal 1/2 binary64))
(* -1 (* (pow i 3) (- (* -1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i))))))
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(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1/2 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) i))) i)) 1/2)))
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(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) (* -1/2 (/ (* alpha (* beta (+ alpha beta))) i))) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))) i))) i))) i)) 1/2)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i)))
(/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 i #s(literal 2 binary64) beta))
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(fma.f64 alpha (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 i #s(literal 2 binary64) beta)))
(+ (* alpha (- (+ (* alpha (- (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(fma.f64 alpha (fma.f64 alpha (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 i #s(literal 2 binary64) beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 3)) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (+ beta (* 2 i)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (+ beta (* 2 i))))
(fma.f64 alpha (-.f64 (fma.f64 alpha (fma.f64 alpha (-.f64 (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 i (/.f64 (+.f64 beta i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (/.f64 (.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 i #s(literal 2 binary64) beta)))
(* alpha (* i (+ beta i)))
(.f64 (.f64 alpha i) (+.f64 beta i))
(* alpha (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha)))
(.f64 alpha (-.f64 (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (.f64 i (+.f64 beta i))) (/.f64 (.f64 (*.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)) alpha)))
(* alpha (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(.f64 alpha (-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 alpha alpha)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (.f64 (.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)) alpha))))
(* alpha (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ beta (* 2 i)))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ beta (* 2 i)))))) (pow alpha 2)))))
(.f64 alpha (-.f64 (-.f64 (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 alpha alpha)))) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta))))))) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (.f64 i (-.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (+.f64 beta i) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (.f64 (*.f64 i (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)) alpha))))
(* -1 (* alpha (* i (+ (* -1 beta) (* -1 i)))))
(.f64 (neg.f64 alpha) (.f64 i (-.f64 (neg.f64 i) beta)))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (-.f64 (.f64 i (-.f64 (neg.f64 i) beta)) (/.f64 (fma.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))) alpha)))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (-.f64 (.f64 i (-.f64 (neg.f64 i) beta)) (/.f64 (+.f64 (neg.f64 (fma.f64 i (fma.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta) (.f64 (neg.f64 i) (+.f64 beta i))) (/.f64 (fma.f64 (neg.f64 (.f64 i i)) (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))))) alpha))) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))) alpha)))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i))))))
(.f64 (neg.f64 alpha) (-.f64 (.f64 i (-.f64 (neg.f64 i) beta)) (/.f64 (+.f64 (neg.f64 (fma.f64 i (fma.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta) (.f64 (neg.f64 i) (+.f64 beta i))) (/.f64 (+.f64 (neg.f64 (fma.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (neg.f64 (.f64 i i)) (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta)))))) alpha))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (neg.f64 i) (fma.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta) (.f64 (neg.f64 i) (+.f64 beta i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))))) alpha))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 i) beta))) alpha)))
(/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i)))
(/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 i #s(literal 2 binary64) alpha))
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(fma.f64 beta (-.f64 (.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 i #s(literal 2 binary64) alpha)))
(+ (* beta (- (+ (* beta (- (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(fma.f64 beta (fma.f64 beta (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (/.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (-.f64 (.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 i #s(literal 2 binary64) alpha)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 3)) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (+ (/ (* i (+ alpha i)) (+ alpha (* 2 i))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 3)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (+ alpha (* 2 i)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (+ alpha (* 2 i))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta (-.f64 (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))))) (-.f64 (fma.f64 (.f64 i i) (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))) (/.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i)))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))))) (-.f64 (.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) (fma.f64 i #s(literal 2 binary64) alpha)))
(* beta (* i (+ alpha i)))
(.f64 (.f64 beta i) (+.f64 alpha i))
(* beta (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)))
(.f64 beta (-.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (.f64 i (+.f64 alpha i))) (/.f64 (.f64 (*.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)) beta)))
(* beta (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(.f64 beta (-.f64 (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) (/.f64 (.f64 i (-.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha)))) (.f64 beta beta)) (/.f64 (.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)) beta))))
(* beta (- (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (pow beta 2)))))
(.f64 beta (-.f64 (-.f64 (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 beta beta)))) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (-.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 i (-.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha))))))) (.f64 beta (.f64 beta beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) (/.f64 (.f64 i (-.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha)))) (.f64 beta beta)) (/.f64 (.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)) beta))))
(* -1 (* beta (* i (+ (* -1 alpha) (* -1 i)))))
(.f64 (neg.f64 beta) (.f64 i (-.f64 (neg.f64 i) alpha)))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(.f64 (neg.f64 beta) (-.f64 (.f64 i (-.f64 (neg.f64 i) alpha)) (/.f64 (fma.f64 (neg.f64 i) (-.f64 (.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha)) (.f64 i (+.f64 alpha i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))) beta)))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(.f64 (neg.f64 beta) (-.f64 (.f64 i (-.f64 (neg.f64 i) alpha)) (/.f64 (+.f64 (neg.f64 (fma.f64 i (-.f64 (.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha)) (.f64 i (+.f64 alpha i))) (/.f64 (fma.f64 (neg.f64 (.f64 i i)) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 (neg.f64 i) (-.f64 (.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha)) (.f64 i (+.f64 alpha i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))))) beta))) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))) beta)))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i))))))
(neg.f64 (.f64 beta (-.f64 (.f64 i (-.f64 (neg.f64 i) alpha)) (/.f64 (+.f64 (neg.f64 (fma.f64 i (-.f64 (.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha)) (.f64 i (+.f64 alpha i))) (/.f64 (+.f64 (neg.f64 (fma.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 (neg.f64 (.f64 i i)) (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 (neg.f64 i) (-.f64 (.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha)) (.f64 i (+.f64 alpha i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))))) beta))) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 (neg.f64 i) (-.f64 (.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha)) (.f64 i (+.f64 alpha i))) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))))) beta))) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))) beta))))
(* alpha (* beta (* i (+ alpha beta))))
(.f64 alpha (.f64 beta (*.f64 (+.f64 alpha beta) i)))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))))
(.f64 i (fma.f64 alpha (.f64 beta (+.f64 alpha beta)) (.f64 i (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))))
(.f64 i (fma.f64 i (fma.f64 alpha beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 i (.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (.f64 alpha (*.f64 beta (+.f64 alpha beta)))))
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))))
(.f64 i (fma.f64 i (fma.f64 alpha beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 i (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) i)))) (.f64 alpha (.f64 beta (+.f64 alpha beta)))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1 binary64)))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) (fma.f64 alpha (/.f64 beta (.f64 i i)) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 i i))))))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2))))))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) (fma.f64 alpha (/.f64 beta (.f64 i i)) (fma.f64 alpha (/.f64 (.f64 beta (+.f64 alpha beta)) (.f64 i (.f64 i i))) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 i i)))))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1 binary64)))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) i))) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) i)))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) (/.f64 (-.f64 (/.f64 (.f64 alpha (.f64 beta (+.f64 alpha beta))) i) (neg.f64 (fma.f64 alpha beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) i))) i)))
(* (pow i 2) (pow (+ beta i) 2))
(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 (.f64 alpha i) (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 alpha (fma.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (.f64 alpha i) (+.f64 beta i))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))))
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2)))
(fma.f64 alpha (fma.f64 i (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (.f64 alpha i) (+.f64 beta i))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))))
(* (pow alpha 2) (* i (+ beta i)))
(.f64 (.f64 i (+.f64 beta i)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)))
(.f64 (.f64 alpha alpha) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (.f64 i (+.f64 beta i))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 alpha alpha)))))
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (fma.f64 i (+.f64 beta i) (fma.f64 i (/.f64 (fma.f64 i (+.f64 beta i) (.f64 (+.f64 beta i) (+.f64 beta i))) alpha) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 alpha alpha)))))
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i)))))
(neg.f64 (.f64 (.f64 alpha alpha) (*.f64 i (-.f64 (neg.f64 i) beta))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(.f64 (.f64 alpha alpha) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) beta) (/.f64 (.f64 i (fma.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta) (.f64 (neg.f64 i) (+.f64 beta i)))) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (.f64 alpha alpha) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) beta) (/.f64 (-.f64 (.f64 i (fma.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta) (.f64 (neg.f64 i) (+.f64 beta i)))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))) alpha)) alpha))))
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))
(.f64 (.f64 alpha alpha) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) beta) (/.f64 (-.f64 (.f64 i (fma.f64 (+.f64 beta i) (-.f64 (neg.f64 i) beta) (.f64 (neg.f64 i) (+.f64 beta i)))) (/.f64 (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))) alpha)) alpha))))
(* (pow i 2) (pow (+ alpha i) 2))
(.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i)))
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 (.f64 beta i) (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (.f64 (.f64 i i) (*.f64 (+.f64 alpha i) (+.f64 alpha i))))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 beta (fma.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (.f64 (.f64 beta i) (+.f64 alpha i))) (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))))
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))
(fma.f64 beta (fma.f64 i (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) (.f64 (.f64 beta i) (+.f64 alpha i))) (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))))
(* (pow beta 2) (* i (+ alpha i)))
(.f64 (.f64 i (+.f64 alpha i)) (*.f64 beta beta))
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))
(.f64 (.f64 beta beta) (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (.f64 i (+.f64 alpha i))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (*.f64 beta beta)))))
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))
(.f64 (.f64 beta beta) (fma.f64 i (+.f64 alpha i) (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 alpha i) (.f64 i (+.f64 alpha i))) beta) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) (*.f64 beta beta)))))
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))
(neg.f64 (.f64 (.f64 beta beta) (*.f64 i (-.f64 (neg.f64 i) alpha))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(.f64 (.f64 beta beta) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (.f64 i (-.f64 (.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha)) (*.f64 i (+.f64 alpha i)))) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(.f64 (.f64 beta beta) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (-.f64 (.f64 i (-.f64 (.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha)) (.f64 i (+.f64 alpha i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta)) beta))))
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))
(.f64 (.f64 beta beta) (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (-.f64 (.f64 i (-.f64 (.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha)) (.f64 i (+.f64 alpha i)))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta)) beta))))
(* (pow beta 2) (pow i 2))
(.f64 (.f64 beta i) (*.f64 beta i))
(* (pow i 2) (+ (* 2 (* beta i)) (pow beta 2)))
(.f64 (.f64 i i) (fma.f64 beta beta (.f64 (.f64 beta i) #s(literal 2 binary64))))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(.f64 (.f64 i i) (fma.f64 beta beta (*.f64 i (fma.f64 beta #s(literal 2 binary64) i))))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(.f64 (.f64 i i) (fma.f64 beta beta (*.f64 i (fma.f64 beta #s(literal 2 binary64) i))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (/.f64 beta i) #s(literal 2 binary64) #s(literal 1 binary64)))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (fma.f64 (/.f64 beta i) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 beta beta) (*.f64 i i))))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (fma.f64 (/.f64 beta i) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 beta beta) (*.f64 i i))))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (/.f64 beta i) #s(literal 2 binary64) #s(literal 1 binary64)))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 beta #s(literal -2 binary64)) (/.f64 (*.f64 beta beta) i)) i)))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 beta #s(literal -2 binary64)) (/.f64 (*.f64 beta beta) i)) i)))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(+ (* 2 (* beta (pow i 3))) (pow i 4))
(fma.f64 #s(literal 2 binary64) (.f64 beta (.f64 i (*.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(fma.f64 beta (fma.f64 beta (.f64 i i) (.f64 #s(literal 2 binary64) (.f64 i (.f64 i i)))) (pow.f64 i #s(literal 4 binary64)))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(fma.f64 beta (fma.f64 beta (.f64 i i) (.f64 #s(literal 2 binary64) (.f64 i (.f64 i i)))) (pow.f64 i #s(literal 4 binary64)))
(* (pow beta 2) (pow i 2))
(.f64 (.f64 beta i) (*.f64 beta i))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (fma.f64 i i (/.f64 (.f64 #s(literal 2 binary64) (.f64 i (*.f64 i i))) beta)))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
(.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (fma.f64 i i (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 beta beta)))))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
(.f64 (.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (fma.f64 i i (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 beta beta)))))
(* (pow beta 2) (pow i 2))
(.f64 (.f64 beta i) (*.f64 beta i))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (fma.f64 i i (/.f64 (.f64 #s(literal 2 binary64) (.f64 i (*.f64 i i))) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (-.f64 (.f64 i i) (/.f64 (-.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -2 binary64)) (/.f64 (pow.f64 i #s(literal 4 binary64)) beta)) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
(.f64 (.f64 beta beta) (-.f64 (.f64 i i) (/.f64 (-.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -2 binary64)) (/.f64 (pow.f64 i #s(literal 4 binary64)) beta)) beta)))
(* 3/16 beta)
(*.f64 beta #s(literal 3/16 binary64))
(+ (* 3/16 alpha) (* 3/16 beta))
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
(+ (* 3/16 alpha) (* 3/16 beta))
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
(+ (* 3/16 alpha) (* 3/16 beta))
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
(* 3/16 alpha)
(*.f64 alpha #s(literal 3/16 binary64))
(* alpha (+ 3/16 (* 3/16 (/ beta alpha))))
(*.f64 alpha (fma.f64 (/.f64 beta alpha) #s(literal 3/16 binary64) #s(literal 3/16 binary64)))
(* alpha (+ 3/16 (* 3/16 (/ beta alpha))))
(*.f64 alpha (fma.f64 (/.f64 beta alpha) #s(literal 3/16 binary64) #s(literal 3/16 binary64)))
(* alpha (+ 3/16 (* 3/16 (/ beta alpha))))
(*.f64 alpha (fma.f64 (/.f64 beta alpha) #s(literal 3/16 binary64) #s(literal 3/16 binary64)))
(* 3/16 alpha)
(*.f64 alpha #s(literal 3/16 binary64))
(* -1 (* alpha (- (* -3/16 (/ beta alpha)) 3/16)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -3/16 binary64) #s(literal -3/16 binary64)))
(* -1 (* alpha (- (* -3/16 (/ beta alpha)) 3/16)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -3/16 binary64) #s(literal -3/16 binary64)))
(* -1 (* alpha (- (* -3/16 (/ beta alpha)) 3/16)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -3/16 binary64) #s(literal -3/16 binary64)))
(* 3/16 alpha)
(*.f64 alpha #s(literal 3/16 binary64))
(+ (* 3/16 alpha) (* 3/16 beta))
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
(+ (* 3/16 alpha) (* 3/16 beta))
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
(+ (* 3/16 alpha) (* 3/16 beta))
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
(* 3/16 beta)
(*.f64 beta #s(literal 3/16 binary64))
(* beta (+ 3/16 (* 3/16 (/ alpha beta))))
(*.f64 beta (fma.f64 (/.f64 alpha beta) #s(literal 3/16 binary64) #s(literal 3/16 binary64)))
(* beta (+ 3/16 (* 3/16 (/ alpha beta))))
(*.f64 beta (fma.f64 (/.f64 alpha beta) #s(literal 3/16 binary64) #s(literal 3/16 binary64)))
(* beta (+ 3/16 (* 3/16 (/ alpha beta))))
(*.f64 beta (fma.f64 (/.f64 alpha beta) #s(literal 3/16 binary64) #s(literal 3/16 binary64)))
(* 3/16 beta)
(*.f64 beta #s(literal 3/16 binary64))
(* -1 (* beta (- (* -3/16 (/ alpha beta)) 3/16)))
(neg.f64 (*.f64 beta (fma.f64 (/.f64 alpha beta) #s(literal -3/16 binary64) #s(literal -3/16 binary64))))
(* -1 (* beta (- (* -3/16 (/ alpha beta)) 3/16)))
(neg.f64 (*.f64 beta (fma.f64 (/.f64 alpha beta) #s(literal -3/16 binary64) #s(literal -3/16 binary64))))
(* -1 (* beta (- (* -3/16 (/ alpha beta)) 3/16)))
(neg.f64 (*.f64 beta (fma.f64 (/.f64 alpha beta) #s(literal -3/16 binary64) #s(literal -3/16 binary64))))

rewrite345.0ms (2.6%)

Memory

7.6MiB live, 567.2MiB allocated

Rules

6 356×	`lower-*.f32`
6 336×	`lower-*.f64`
4 414×	`lower-fma.f32`
4 404×	`lower-fma.f64`
4 180×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	767
0	111	723
1	433	691
2	3780	691
0	9473	680

Stop Event

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

Counts

21 → 394

Calls

Call 1

Inputs
(.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))
(-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i)))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))
(*.f64 i #s(literal 1/8 binary64))
#s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta)))
(*.f64 i (/.f64 (+.f64 alpha i) beta))
(/.f64 (+.f64 alpha i) beta)
(fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))))
(/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i))))
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i))))
(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))

Outputs
(+.f64 (.f64 i #s(literal 1/8 binary64)) (.f64 i (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i)))
(+.f64 (.f64 i #s(literal 1/8 binary64)) (.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i) i))
(fma.f64 i #s(literal 1/8 binary64) (.f64 i (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i)))
(fma.f64 i #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i) i))
(fma.f64 #s(literal 1/8 binary64) i (.f64 i (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i)))
(fma.f64 #s(literal 1/8 binary64) i (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i) i))
(/.f64 (.f64 i (-.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i i)))))) (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))
(/.f64 (.f64 i (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (*.f64 i i)))) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i i))))) i) (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (*.f64 i i))) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)))
(*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)))
(*.f64 (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)) i)
(+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i))
(+.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i) #s(literal 1/8 binary64))
(-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))
(-.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (/.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i i)))) (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (.f64 i i)) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64))))
(fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) i)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) #s(literal 1/8 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) i) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)) (-.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (.f64 i i)))))
(/.f64 (-.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i i))))) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))
(/.f64 (-.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i i))))) (+.f64 #s(literal 1/64 binary64) (-.f64 (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (.f64 i i)) (.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (.f64 i i))) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (.f64 i i))) (-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/16 binary64)) i)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i i)))))) (neg.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (.f64 i i)))) (neg.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)) (-.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i i)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (.f64 i i)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1/512 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64))) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 #s(literal -1/16 binary64) i) #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))))) (neg.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)))))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))))))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))
(/.f64 (neg.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)))))) (neg.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)))))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))))))) (neg.f64 (neg.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))))
(/.f64 (.f64 #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))))) #s(literal 1 binary64)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))
(pow.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))) #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i (+.f64 i beta)) (*.f64 i (+.f64 i beta)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i (+.f64 i beta)) (*.f64 i (+.f64 i beta))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i (+.f64 i beta)) (.f64 i (+.f64 i beta)))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (.f64 i (.f64 i i)) #s(literal 8 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64))) (.f64 (.f64 i i) #s(literal 4 binary64))))
(.f64 (/.f64 #s(approx ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i (+.f64 i beta)) (.f64 i (+.f64 i beta)))) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (-.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 alpha beta)))
#s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i (+.f64 i beta)) (*.f64 i (+.f64 i beta))))
(+.f64 (.f64 (.f64 i i) (.f64 beta (+.f64 i beta))) (.f64 (.f64 i i) (.f64 i (+.f64 i beta))))
(+.f64 (.f64 (.f64 i (.f64 i (+.f64 i beta))) i) (.f64 (.f64 i (.f64 i (+.f64 i beta))) beta))
(+.f64 (.f64 (.f64 i (.f64 i (+.f64 i beta))) beta) (.f64 (.f64 i (.f64 i (+.f64 i beta))) i))
(+.f64 (.f64 (.f64 beta (+.f64 i beta)) (.f64 i i)) (.f64 (.f64 i (+.f64 i beta)) (.f64 i i)))
(+.f64 (.f64 i (.f64 i (.f64 i (+.f64 i beta)))) (.f64 beta (.f64 i (.f64 i (+.f64 i beta)))))
(+.f64 (.f64 beta (.f64 i (.f64 i (+.f64 i beta)))) (.f64 i (.f64 i (.f64 i (+.f64 i beta)))))
(exp.f64 (.f64 (log.f64 (.f64 i (+.f64 i beta))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 (+.f64 i beta)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 i beta)) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(fma.f64 i (.f64 i (.f64 i (+.f64 i beta))) (.f64 beta (.f64 i (*.f64 i (+.f64 i beta)))))
(fma.f64 beta (.f64 i (.f64 i (+.f64 i beta))) (.f64 i (.f64 i (*.f64 i (+.f64 i beta)))))
(fma.f64 (.f64 i i) (.f64 beta (+.f64 i beta)) (.f64 (.f64 i i) (*.f64 i (+.f64 i beta))))
(fma.f64 (.f64 beta (+.f64 i beta)) (.f64 i i) (.f64 (.f64 i (+.f64 i beta)) (*.f64 i i)))
(fma.f64 (.f64 i (.f64 i (+.f64 i beta))) i (.f64 (.f64 i (*.f64 i (+.f64 i beta))) beta))
(fma.f64 (.f64 i (.f64 i (+.f64 i beta))) beta (.f64 (.f64 i (*.f64 i (+.f64 i beta))) i))
(/.f64 (.f64 (.f64 i (.f64 i (+.f64 i beta))) (fma.f64 i (.f64 i i) (.f64 beta (.f64 beta beta)))) (fma.f64 i (-.f64 i beta) (*.f64 beta beta)))
(/.f64 (.f64 (.f64 i (.f64 i (+.f64 i beta))) (.f64 (+.f64 i beta) (-.f64 beta i))) (-.f64 beta i))
(pow.f64 (*.f64 i (+.f64 i beta)) #s(literal 2 binary64))
(.f64 i (.f64 i (*.f64 (+.f64 i beta) (+.f64 i beta))))
(.f64 i (.f64 (+.f64 i beta) (*.f64 i (+.f64 i beta))))
(.f64 (.f64 i i) (*.f64 (+.f64 i beta) (+.f64 i beta)))
(.f64 (+.f64 i beta) (.f64 i (*.f64 i (+.f64 i beta))))
(.f64 (.f64 (+.f64 i beta) (+.f64 i beta)) (*.f64 i i))
(.f64 (.f64 i (+.f64 i beta)) (*.f64 i (+.f64 i beta)))
(.f64 (.f64 i (*.f64 i (+.f64 i beta))) (+.f64 i beta))
(.f64 (.f64 i (*.f64 (+.f64 i beta) (+.f64 i beta))) i)
(.f64 (.f64 (*.f64 i (+.f64 i beta)) i) (+.f64 i beta))
(+.f64 (.f64 #s(literal 3/16 binary64) alpha) (.f64 #s(literal 3/16 binary64) beta))
(+.f64 (.f64 #s(literal 3/16 binary64) beta) (.f64 #s(literal 3/16 binary64) alpha))
(+.f64 (.f64 alpha #s(literal 3/16 binary64)) (.f64 beta #s(literal 3/16 binary64)))
(+.f64 (.f64 beta #s(literal 3/16 binary64)) (.f64 alpha #s(literal 3/16 binary64)))
(fma.f64 alpha #s(literal 3/16 binary64) (*.f64 beta #s(literal 3/16 binary64)))
(fma.f64 beta #s(literal 3/16 binary64) (*.f64 alpha #s(literal 3/16 binary64)))
(fma.f64 #s(literal 3/16 binary64) alpha (*.f64 #s(literal 3/16 binary64) beta))
(fma.f64 #s(literal 3/16 binary64) beta (*.f64 #s(literal 3/16 binary64) alpha))
(/.f64 (.f64 #s(literal 3/16 binary64) (fma.f64 alpha (.f64 alpha alpha) (.f64 beta (.f64 beta beta)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 #s(literal 3/16 binary64) (.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 alpha beta))
(/.f64 (.f64 (fma.f64 alpha (.f64 alpha alpha) (.f64 beta (.f64 beta beta))) #s(literal 3/16 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 3/16 binary64)) (-.f64 alpha beta))
(*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64))
(*.f64 #s(literal 3/16 binary64) (+.f64 alpha beta))

eval216.0ms (1.6%)

Memory: 26.6MiB live, 330.5MiB allocated
Compiler: Compiled 90 050 to 3 172 computations (96.5% saved)

prune293.0ms (2.2%)

Memory

-50.5MiB live, 420.4MiB allocated

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	1 121	10	1 131
Fresh	2	34	36
Picked	4	1	5
Done	0	2	2
Total	1 127	47	1 174

Accuracy

98.3%

Counts

1 174 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.1%	(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 1 binary64)))) (+.f64 alpha (-.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 1 binary64))))
	15.0%	(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) #s(approx (* (* i i) (* (+ beta i) (+ beta i))) (.f64 (.f64 i i) (fma.f64 beta beta (.f64 i (fma.f64 beta #s(literal 2 binary64) i)))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
	21.8%	(/.f64 (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	37.5%	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	15.0%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	31.4%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 i (/.f64 beta (+.f64 i alpha)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	31.0%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 i (/.f64 beta (+.f64 i alpha)))) #s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta)))
	31.0%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (+.f64 i alpha) (.f64 (/.f64 #s(literal 1 binary64) beta) i))) #s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta)))
	70.6%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (+.f64 (fma.f64 (/.f64 beta i) #s(literal -1/4 binary64) #s(literal -1/8 binary64)) (*.f64 #s(literal 3/16 binary64) (/.f64 beta i)))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	23.1%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) #s(approx (+ alpha beta) (+.f64 alpha (.f64 (/.f64 beta alpha) alpha)))))
	29.5%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) (exp.f64 (.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
	31.4%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
	31.4%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -2 binary64)))))
	30.1%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (exp.f64 (.f64 (log.f64 (/.f64 beta (+.f64 i alpha))) #s(literal -1 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	14.2%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
	64.2%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) (exp.f64 (.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
	70.5%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
✓	5.0%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
	70.5%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -2 binary64)))))
	48.8%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta)) #s(literal -1 binary64)))))
	33.1%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) #s(literal -1 binary64)))))
	70.6%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i #s(approx (- 1/8 (/ ( (+ alpha beta) -1/16) i)) (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	70.6%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i #s(approx (- 1/8 (/ ( (+ alpha beta) -1/16) i)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) i)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	7.7%	(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 alpha #s(literal 1/16 binary64)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
	15.0%	(/.f64 #s(approx (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
	19.7%	(/.f64 #s(approx (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64)))
	34.4%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 i (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))
	38.1%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) #s(approx (+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i)) #s(literal 1/4 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	33.9%	(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (* i i) (+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i))) (.f64 i (.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	14.9%	(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i (+.f64 i beta)) (.f64 i (+.f64 i beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	70.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)))))))
	37.5%	(.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
	70.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))) #s(literal -1 binary64)))
	70.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))))
	5.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta))) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))))
	70.6%	(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))))))) #s(literal -1 binary64)))
	14.9%	#s(approx (/ (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (+ (* i 2) (+ alpha beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
	22.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
	11.8%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 i alpha)) beta) beta))
	31.2%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta))
	12.7%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
✓	9.9%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
	14.0%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
	31.3%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
✓	70.6%	#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 3 144 to 875 computations (72.2% saved)

regimes112.0ms (0.8%)

Memory

7.1MiB live, 83.4MiB allocated

Counts

72 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta))) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 alpha #s(literal 1/16 binary64)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 i alpha)) beta) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (+.f64 i alpha) (.f64 (/.f64 #s(literal 1 binary64) beta) i))) #s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 i (/.f64 beta (+.f64 i alpha)))) #s(approx (+ (* i 2) (+ alpha beta)) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i #s(approx (- 1/8 (/ ( (+ alpha beta) -1/16) i)) (fma.f64 #s(literal 1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -2 binary64)))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (+.f64 i alpha) (.f64 (/.f64 #s(literal 1 binary64) beta) i))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha)) #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) alpha) beta)) #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 i (/.f64 beta (+.f64 i alpha)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 alpha beta) #s(literal -1/16 binary64)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (.f64 i #s(approx (- 1/8 (/ ( (+ alpha beta) -1/16) i)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) i)) i))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) #s(approx (+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i)) #s(literal 1/4 binary64)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) (fma.f64 i #s(literal 2 binary64) #s(approx (+ alpha beta) (+.f64 alpha (.f64 (/.f64 beta alpha) alpha)))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (*.f64 (neg.f64 i) (+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64)))))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (/.f64 (fma.f64 (+.f64 alpha beta) #s(literal -1/4 binary64) (fma.f64 i #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) #s(literal 3/16 binary64)))) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) #s(approx (- ( (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8)) (+.f64 (fma.f64 (/.f64 beta i) #s(literal -1/4 binary64) #s(literal -1/8 binary64)) (*.f64 #s(literal 3/16 binary64) (/.f64 beta i)))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (* i i) (+ 1/4 (/ (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))) i))) (.f64 i (.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
#s(approx (/ (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (+ (* i 2) (+ alpha beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (+.f64 (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) #s(literal -1/64 binary64)) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 (neg.f64 i) (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i) #s(literal -1/8 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) #s(literal 12 binary64)) i) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 1 binary64)))) (+.f64 alpha (-.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 1 binary64))))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 i (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))
(/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i (+.f64 i beta)) (.f64 i (+.f64 i beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (.f64 (.f64 i i) (/.f64 (.f64 (+.f64 beta i) (+.f64 beta i)) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) #s(approx (* (* i i) (* (+ beta i) (+ beta i))) (.f64 (.f64 i i) (fma.f64 beta beta (.f64 i (fma.f64 beta #s(literal 2 binary64) i)))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(approx (+ (* i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
(.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (.f64 (*.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(approx (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) #s(approx (* (* i i) (* (+ beta i) (+ beta i))) (.f64 (.f64 i i) (fma.f64 beta beta (.f64 i (fma.f64 beta #s(literal 2 binary64) i)))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64)))) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (.f64 (.f64 i i) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta (.f64 i #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) (exp.f64 (.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (exp.f64 (.f64 (log.f64 (/.f64 beta (+.f64 i alpha))) #s(literal -1 binary64))))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) (exp.f64 (.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 i (fma.f64 (+.f64 alpha beta) (neg.f64 (/.f64 #s(literal -1/16 binary64) i)) #s(literal 1/8 binary64))))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 i (+.f64 i (+.f64 alpha beta))))) #s(literal -1 binary64)) (pow.f64 (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) #s(literal -1 binary64)))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

4 calls:

44.0ms	beta
26.0ms	alpha
20.0ms	i
17.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
79.9%	2	`alpha`
88.8%	2	`beta`
82.2%	3	`i`
75.1%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 68 to 26 computations (61.8% saved)

regimes7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta))) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 alpha #s(literal 1/16 binary64)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 i alpha)) beta) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (/ ( (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
88.7%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes37.0ms (0.3%)

Memory

-12.9MiB live, 25.2MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta))) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 alpha #s(literal 1/16 binary64)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 i alpha)) beta) beta))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

3 calls:

28.0ms	beta
4.0ms	alpha
4.0ms	i

Results

Accuracy	Segments	Branch
73.8%	2	`alpha`
70.6%	1	`i`
76.0%	2	`beta`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta))) #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) #s(approx (* (neg i) (- (* (/ (* (+ alpha beta) 2) i) -1/8) (+ (* (/ (* (+ alpha beta) 12) i) -1/64) 1/8))) (*.f64 alpha #s(literal 1/16 binary64)))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (*.f64 i #s(literal 1/8 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
75.2%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (+.f64 alpha beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta)))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i i)) (.f64 beta beta)))
(/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i #s(literal 1/8 binary64))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta)))

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Calls

2 calls:

2.0ms

beta

2.0ms

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

Results

Accuracy	Segments	Branch
70.6%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
75.0%	2	`beta`

Compiler

Compiled 60 to 20 computations (66.7% saved)

regimes33.0ms (0.2%)

Memory

-23.3MiB live, 12.8MiB allocated

Accuracy

Total -42.4b remaining (-224.9%)

Threshold costs -42.4b (-224.9%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

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

Outputs

#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Calls

3 calls:

30.0ms	beta
2.0ms	i
2.0ms	alpha

Results

Accuracy	Segments	Branch
70.6%	1	`i`
70.6%	1	`alpha`
70.6%	1	`beta`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch46.0ms (0.3%)

Memory

-3.8MiB live, 29.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.548770504715156e+170	4.966480493176425e+171

Samples

9.0ms

112×

valid

Compiler

Compiled 227 to 128 computations (43.6% saved)

Precisions

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

ival-mult: 3.0ms (45.3% of total)

ival-add: 2.0ms (30.2% of total)

ival-div: 1.0ms (15.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.548770504715156e+170	4.966480493176425e+171

Compiler

Compiled 199 to 114 computations (42.7% saved)

bsearch20.0ms (0.2%)

Memory

31.3MiB live, 31.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.1320148977119797e+210	5.1301913697172243e+216

Samples

12.0ms

144×

valid

Compiler

Compiled 230 to 131 computations (43% saved)

Precisions

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

ival-mult: 4.0ms (48.5% of total)

ival-add: 2.0ms (24.3% of total)

ival-sub: 1.0ms (12.1% of total)

ival-div: 1.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch45.0ms (0.3%)

Memory

-16.3MiB live, 33.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	4.427640694986038e+242	4.417151609021534e+246

Samples

11.0ms

128×

valid

Compiler

Compiled 219 to 127 computations (42% saved)

Precisions

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

ival-mult: 4.0ms (50.5% of total)

ival-add: 2.0ms (25.3% of total)

ival-sub: 1.0ms (12.6% of total)

ival-div: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.427640694986038e+242	4.417151609021534e+246

Compiler

Compiled 211 to 119 computations (43.6% saved)

simplify37.0ms (0.3%)

Memory

-19.7MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	676
1	79	676

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 16500000000000000563954417062499980638739670256518365110730346982681116741373275535725552724391871288983052518509117826847421772652772553025670615092058157288273831232068043775156956010420713727275164731681485619200 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 i alpha)) beta) beta)))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 alpha i) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (/.f64 #s(approx (/ (/ (* (+ i (+ alpha beta)) (* i (+ (* i (+ i (+ alpha beta))) (* alpha beta)))) (+ (* i 2) (+ alpha beta))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1)) (.f64 i (/.f64 (+.f64 i alpha) beta))) #s(approx (+ ( i 2) (+ alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))))
(if (<=.f64 beta #s(literal 154999999999999993938316677492222650784535095486028300222114206392816530777051516545033586450339552062077474140110591981843559709360836874756404447070881043972144989470720 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))))
(if (<=.f64 beta #s(literal 16500000000000000563954417062499980638739670256518365110730346982681116741373275535725552724391871288983052518509117826847421772652772553025670615092058157288273831232068043775156956010420713727275164731681485619200 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* i (+ alpha i)) (*.f64 i alpha)) beta) beta)))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (.f64 i (/.f64 (+.f64 i alpha) (.f64 beta beta)))))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 alpha i)) (.f64 beta beta))))
(if (<=.f64 beta #s(literal 68000000000000002043977245163733173712179517004808557098980837027119782454273336298235395859330098194067681886318683821973447294916927820386978313256701266208630043370133168299725392287128684534396838356109243417156181833783779724279214967357440 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* i (+ alpha i)) (.f64 i alpha)) (.f64 beta beta))))
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64))

soundness1.1s (8%)

Memory

40.7MiB live, 833.2MiB allocated

Rules

9 164×	`lower-fma.f64`
9 164×	`lower-fma.f32`
6 992×	`lower-*.f64`
6 992×	`lower-*.f32`
6 938×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	597
0	103	551
1	497	520
2	4459	515
0	10361	506
0	17	157
0	29	127
1	146	127
2	1503	127
0	8201	117
0	52	535
0	85	456
1	448	446
2	4064	445
0	9287	441
0	1089	12630
1	3841	11840
0	8260	10972
0	1623	50137
1	5807	49264
0	8766	45221
0	1915	47794
1	6836	47760
0	8019	43685

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

Compiler

Compiled 292 to 144 computations (50.7% saved)

preprocess63.0ms (0.5%)

Memory: -16.4MiB live, 101.9MiB allocated
Compiler: Compiled 332 to 120 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze49.0ms (0.4%)

sample1.5s (11.6%)

explain278.0ms (2.1%)

preprocess281.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify266.0ms (2%)

localize50.0ms (0.4%)

series67.0ms (0.5%)

simplify832.0ms (6.3%)

rewrite676.0ms (5.1%)

eval256.0ms (1.9%)

prune297.0ms (2.2%)

simplify232.0ms (1.7%)

localize149.0ms (1.1%)

series131.0ms (1%)

simplify569.0ms (4.3%)

rewrite515.0ms (3.9%)

eval394.0ms (3%)

prune600.0ms (4.5%)

simplify257.0ms (1.9%)

localize308.0ms (2.3%)

series113.0ms (0.8%)

simplify529.0ms (4%)

rewrite355.0ms (2.7%)

eval350.0ms (2.6%)

prune395.0ms (3%)

simplify254.0ms (1.9%)

localize488.0ms (3.7%)

series187.0ms (1.4%)

simplify561.0ms (4.2%)

rewrite345.0ms (2.6%)

eval216.0ms (1.6%)

prune293.0ms (2.2%)

regimes112.0ms (0.8%)

regimes7.0ms (0.1%)

regimes37.0ms (0.3%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes33.0ms (0.2%)

bsearch46.0ms (0.3%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

bsearch45.0ms (0.3%)

bsearch1.0ms (0%)

simplify37.0ms (0.3%)

soundness1.1s (8%)

preprocess63.0ms (0.5%)

end0.0ms (0%)

Profiling