Metrics for Octave 3.8, jcobi/4

analyze30.0ms (0.3%)

Memory

-8.4MiB live, 31.1MiB 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)

sample1.6s (13.8%)

Memory

-61.1MiB live, 2 319.6MiB allocated

Samples

947.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 682.0ms

ival-mult: 276.0ms (40.5% of total)

ival-add: 151.0ms (22.2% of total)

ival-div: 109.0ms (16% of total)

ival->: 75.0ms (11% of total)

ival-sub: 39.0ms (5.7% of total)

ival-and: 16.0ms (2.3% of total)

exact: 13.0ms (1.9% of total)

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

Bogosity

preprocess427.0ms (3.6%)

Memory

22.0MiB live, 568.7MiB 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)

explain260.0ms (2.2%)

Memory

-2.0MiB live, 483.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
219	0	-	-	`(/.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))))`
149	1	(1.5149831603449884e+38 3.2531263311708096e+273 8.804096450811954e+111)	-	`(/.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	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`i`
0	0	-	-	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) i)`
0	0	-	-	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`
0	0	-	-	`beta`
0	0	-	-	`(+.f64 alpha beta)`
0	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	0	-	-	`(+.f64 (+.f64 alpha beta) i)`
0	0	-	-	`alpha`
0	0	-	-	`(*.f64 beta alpha)`
0	0	-	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	0	-	-	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`
0	0	-	-	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`
0	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	167	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	148
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	219
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	294
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	167
`/.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	129	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	148
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	219
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	294
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	167
↳	`(/.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	129
↳	`(-.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	167
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	167
`/.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	52	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	148
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	219
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	294
`/.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	21	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	167
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	167

Confusion

	Predicted +	Predicted -
+	219	0
-	0	37

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	219	0	0
-	0	0	37

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	37
1	69
2	150

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms

512×

valid

Compiler

Compiled 482 to 72 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 14.0ms (40.7% of total)

ival-add: 12.0ms (34.8% of total)

ival-div: 6.0ms (17.4% of total)

ival-sub: 2.0ms (5.8% of total)

exact: 1.0ms (2.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.0%	(/.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

▶

15.0%

(/.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)

simplify979.0ms (8.2%)

Memory

2.6MiB live, 437.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize317.0ms (2.7%)

Memory

-19.9MiB live, 98.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
✓	accuracy	99.9%	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
✓	accuracy	44.4%	(/.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	26.7%	(/.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

295.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 95.0ms (91% of total)

ival-add: 5.0ms (4.8% of total)

ival-div: 3.0ms (2.9% of total)

ival-sub: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series136.0ms (1.1%)

Memory

-1.1MiB live, 115.3MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (/.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))))>
#<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)))>
#<alt (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))>
#<alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))>

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

Calls

36 calls:

Time	Variable		Point	Expression
87.0ms	beta	@	inf	(/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
4.0ms	alpha	@	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	beta	@	0	(* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))
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	beta	@	-inf	(/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))

rewrite511.0ms (4.3%)

Memory

2.5MiB live, 718.1MiB allocated

Algorithm

1×	batch-egg-rewrite

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	122
0	29	98
1	146	98
2	1503	98
0	8201	91

Stop Event

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

Counts

4 → 417

Calls

Call 1

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

simplify505.0ms (4.2%)

Memory

39.6MiB live, 788.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 902×	`lower-fma.f64`
7 902×	`lower-fma.f32`
7 822×	`lower-*.f64`
7 822×	`lower-*.f32`
6 148×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	987	11252
1	3468	10997
0	9243	10092

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

simplify186.0ms (1.6%)

Memory

-30.6MiB live, 266.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1074	26288
1	1075	26288
0	1075	26288

Stop Event

1×	saturated
1×	saturated

Counts

417 → 0

Calls

Call 1

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

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

eval53.0ms (0.4%)

Memory: -5.3MiB live, 108.9MiB allocated
Compiler: Compiled 34 111 to 992 computations (97.1% saved)

prune30.0ms (0.3%)

Memory

27.5MiB live, 66.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	349	11	360
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	11	361

Accuracy

88.6%

Counts

361 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.2%	(/.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 (.f64 i (+.f64 alpha i)) (fma.f64 alpha #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (neg.f64 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 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha 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)))
▶	12.2%	(/.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))))
	9.8%	(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
	16.8%	(/.f64 (.f64 i (fma.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 alpha (/.f64 beta (+.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)))
	13.7%	(/.f64 (.f64 i (fma.f64 alpha (/.f64 beta (+.f64 alpha beta)) (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (+.f64 alpha beta))))))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -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)))
▶	18.4%	(/.f64 (.f64 i (+.f64 alpha 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)))
▶	15.7%	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
	37.4%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i 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)))
▶	12.4%	(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) 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)))
▶	74.7%	#s(literal 1/16 binary64)

Compiler

Compiled 1 198 to 396 computations (66.9% saved)

simplify332.0ms (2.8%)

Memory

-14.5MiB live, 459.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 #s(literal -2 binary64) (.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))
✓	cost-diff	128	(neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))) beta)))
✓	cost-diff	512	(fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (*.f64 i (+.f64 alpha i))))
✓	cost-diff	832	(fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))))
✓	cost-diff	0	(*.f64 (+.f64 beta i) (+.f64 beta i))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
✓	cost-diff	0	(/.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))))
✓	cost-diff	0	(*.f64 i (+.f64 alpha i))
✓	cost-diff	0	(/.f64 (.f64 i (+.f64 alpha 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)))
✓	cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
✓	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	0	(*.f64 beta beta)
✓	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))

Rules

7 998×	`lower-fma.f32`
7 986×	`lower-fma.f64`
4 678×	`lower-*.f32`
4 654×	`lower-*.f64`
2 674×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	518
0	76	504
1	194	480
2	762	461
3	3430	438
4	7794	438
0	8794	429

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (1.5%)

Memory

17.2MiB live, 250.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.5%	(fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))) beta))
✓	accuracy	93.3%	(/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))) beta)
✓	accuracy	59.7%	(fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))))
✓	accuracy	30.6%	(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) 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)))
✓	accuracy	100.0%	(*.f64 (+.f64 beta i) (+.f64 beta i))
✓	accuracy	99.9%	(.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)))
✓	accuracy	99.9%	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
✓	accuracy	14.6%	(/.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))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	100.0%	(*.f64 i (+.f64 alpha i))
✓	accuracy	100.0%	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
✓	accuracy	44.4%	(/.f64 (.f64 i (+.f64 alpha 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	100.0%	(+.f64 alpha i)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	100.0%	(*.f64 i (+.f64 alpha i))
✓	accuracy	75.5%	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))

Samples

113.0ms

256×

valid

Compiler

Compiled 559 to 46 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 63.0ms (70.5% of total)

ival-add: 11.0ms (12.3% of total)

ival-div: 7.0ms (7.8% of total)

ival-sub: 4.0ms (4.5% of total)

ival-neg: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series126.0ms (1.1%)

Memory

-20.1MiB live, 144.1MiB allocated

Counts

15 → 408

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))>
#<alt (*.f64 i (+.f64 alpha i))>
#<alt (*.f64 beta beta)>
#<alt (+.f64 alpha i)>
#<alt (/.f64 (.f64 i (+.f64 alpha 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)))>
#<alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))>
#<alt (*.f64 #s(literal 2 binary64) i)>
#<alt (/.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))))>
#<alt (.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))>
#<alt (.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)))>
#<alt (*.f64 (+.f64 beta i) (+.f64 beta i))>
#<alt (/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) 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)))>
#<alt (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha))))>
#<alt (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))) beta)>
#<alt (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))) beta))>

Outputs
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))>
#<alt (* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))>
#<alt (* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))>
#<alt (+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))>
#<alt (+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))>
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))>
#<alt (* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))>
#<alt (* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))>
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (* alpha i)>
#<alt (* i (+ alpha i))>
#<alt (* i (+ alpha i))>
#<alt (* i (+ alpha i))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (pow i 2)>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (* alpha i)>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha i)>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
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#<alt (* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))>
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#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))))) (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1)))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (pow i 2)))))>
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#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1)) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))>
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#<alt (pow (+ beta (* 2 i)) 2)>
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#<alt (pow beta 2)>
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#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
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#<alt (* 2 i)>
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#<alt (* 2 i)>
#<alt (* 2 i)>
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#<alt (* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))>
#<alt 1/16>
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#<alt 1/16>
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#<alt (- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))>
#<alt (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1)))>
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#<alt (+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* -1 (* beta (+ (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1))))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (+ (* 1/4 (/ (* (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (* 1/2 (/ i (pow (- (* 4 (pow i 2)) 1) 2))))))) (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1)))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))>
#<alt (/ (pow i 2) (pow beta 2))>
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#<alt (* 2 (/ (pow i 3) beta))>
#<alt (* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) 1) i)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (+ (* -1 (/ (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta))) i)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta))))) 1) i)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (+ (* -1 (/ (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta))) i)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta))))) 1) i)) (* 2 (/ 1 beta)))))>
#<alt (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta)))>
#<alt (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (+ (* alpha (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta)))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))))>
#<alt (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (+ (* alpha (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (+ (* alpha (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (/ (* i (- (* -2 i) i)) beta))))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))))>
#<alt (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (+ (* alpha (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (+ (* alpha (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (/ (* i (- (* -2 i) i)) beta))))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ i beta)) (* 2 (/ i beta))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ i alpha)) (+ (* -1 (/ i beta)) (+ (* 2 (/ i beta)) (+ (* 2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (/ (* i (- (* -2 i) i)) (* alpha beta)))))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ i alpha)) (+ (* -1 (/ i beta)) (+ (* -1 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ i beta)) (+ (* 2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (+ (* 4 (/ (pow i 3) (* (pow alpha 2) beta))) (+ (/ (* i (- (* -2 i) i)) (* alpha beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* (pow alpha 2) beta))))))))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ i alpha)) (+ (* -1 (/ i beta)) (+ (* -1 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ i beta)) (+ (* 2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (+ (* 4 (/ (pow i 3) (* (pow alpha 2) beta))) (+ (/ (* i (- (* -2 i) i)) (* alpha beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* (pow alpha 2) beta))))))))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ i beta)) (* 2 (/ i beta))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* -1 (/ (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* 2 i) (* -1 i))) beta))) alpha)) (* 2 (/ i beta)))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* -1 (/ (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (+ (* -1 (/ (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) alpha)) (/ (* i (- (* 2 i) (* -1 i))) beta)))) alpha)) (* 2 (/ i beta)))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* -1 (/ (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (+ (* -1 (/ (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) alpha)) (/ (* i (- (* 2 i) (* -1 i))) beta)))) alpha)) (* 2 (/ i beta)))))>
#<alt (/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)>
#<alt (/ (+ (* -1 (* beta (* i (+ alpha i)))) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) beta)>
#<alt (/ (+ (* -1 (* beta (* i (+ alpha i)))) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) beta)>
#<alt (/ (+ (* -1 (* beta (* i (+ alpha i)))) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) beta)>
#<alt (* -1 (* i (+ alpha i)))>
#<alt (+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))>
#<alt (+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))>
#<alt (+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))>
#<alt (* -1 (* i (+ alpha i)))>
#<alt (+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))>
#<alt (+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))>
#<alt (+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))>

Calls

102 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	inf	(/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1)))
6.0ms	alpha	@	0	(/ (* i (+ alpha i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
6.0ms	alpha	@	inf	(+ (* i (- (neg i) alpha)) (/ (+ (* i (+ (* (+ alpha i) (- (neg i) alpha)) (neg (* i (+ alpha i))))) (* -2 (* (* i (+ (* i 2) alpha)) (- (neg i) alpha)))) beta))
4.0ms	beta	@	0	(/ (* i (+ alpha i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
3.0ms	alpha	@	0	(/ (neg (+ (* i (- (neg i) alpha)) (/ (+ (* i (+ (* (+ alpha i) (- (neg i) alpha)) (neg (* i (+ alpha i))))) (* -2 (* (* i (+ (* i 2) alpha)) (- (neg i) alpha)))) beta))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))

rewrite561.0ms (4.7%)

Memory

16.8MiB live, 555.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 412×	`lower-*.f32`
6 388×	`lower-*.f64`
4 228×	`lower-/.f32`
4 218×	`lower-/.f64`
3 380×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	284
0	75	247
1	360	225
2	3465	224
0	9761	224

Stop Event

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

Counts

15 → 424

Calls

Call 1

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

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

simplify442.0ms (3.7%)

Memory

-3.5MiB live, 732.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
6 264×	`lower-*.f64`
6 264×	`lower-*.f32`
4 044×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1585	15706
1	5436	15245
0	8228	14183

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 402

Calls

Call 1

Inputs
(/ (* 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))))
(/ (pow i 2) (pow beta 2))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(/ (* alpha i) (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)) (/ (pow i 2) (* alpha (pow beta 2)))))
(/ (* alpha i) (pow beta 2))
(* -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)))))))
(* -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)))
(* (pow i 2) (+ 1 (/ alpha i)))
(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))
(+ (* alpha i) (pow i 2))
(+ (* alpha i) (pow i 2))
(* alpha i)
(* alpha (+ i (/ (pow i 2) alpha)))
(* alpha (+ i (/ (pow i 2) alpha)))
(* alpha (+ i (/ (pow i 2) alpha)))
(* alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
i
(+ alpha i)
(+ alpha i)
(+ alpha i)
alpha
(* alpha (+ 1 (/ i alpha)))
(* alpha (+ 1 (/ i alpha)))
(* alpha (+ 1 (/ i alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
alpha
(+ alpha i)
(+ alpha i)
(+ alpha i)
i
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
i
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(/ (* alpha i) (- (pow (+ alpha beta) 2) 1))
(* i (+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
1/4
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))))) (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1)))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (pow i 2)))))
1/4
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))) i))) i)))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (+ (* -1 (/ (+ (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1))) (* (+ alpha beta) (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))))) i)) (* -1/16 (- (pow (+ alpha beta) 2) 1)))) i))) i)))
(/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))
(+ (* alpha (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1)) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3)) (+ (* -1 (/ (* (+ (* 2 beta) (* 4 i)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1)) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1)) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(/ i alpha)
(/ (- (+ i (/ (pow i 2) alpha)) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* i (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ (pow i 2) alpha))) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* i (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))))) (* (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))) (- (pow (+ beta (* 2 i)) 2) 1))) (pow alpha 3))) (/ (pow i 2) alpha))) (+ (/ (* i (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* i (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)
(/ i alpha)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (pow i 2) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (pow i 2) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -1 (/ (* i (- (pow (+ beta (* 2 i)) 2) 1)) alpha)) (pow i 2))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ beta (* 2 i)) (+ (* -2 (* (+ beta (* 2 i)) (- (pow i 2) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (- (pow (+ beta (* 2 i)) 2) 1))))) alpha)) (/ (* (- (pow i 2) (* 2 (* i (+ beta (* 2 i))))) (- (pow (+ beta (* 2 i)) 2) 1)) alpha)) (+ (* -2 (* (+ beta (* 2 i)) (- (pow i 2) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (- (pow (+ beta (* 2 i)) 2) 1))))) alpha)) (pow i 2)) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1))
(+ (* -1 (/ (* beta (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ (* i (+ alpha i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (* -1 (/ (* (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ (* i (+ alpha i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (* 2 alpha) (* 4 i))) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ (* i (+ alpha i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1)))) (pow beta 2))) (* i (+ alpha i))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ alpha i) (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))) (* -1 (* (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (* 2 alpha) (* 4 i))))) (pow beta 3))) (* i (+ alpha i))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow beta 2))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (/ (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))) (pow beta 2))))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* -2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) beta)) (/ (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))) beta)) (* -2 (* i (* (+ alpha i) (+ alpha (* 2 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* i (* (+ alpha i) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)) (* 2 (/ (* (+ alpha (* 2 i)) (+ (* -4 (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)))) (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))))) beta))) (+ (* -4 (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)))) (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))))) beta)) (* -2 (* i (* (+ alpha i) (+ alpha (* 2 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(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))))
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(/ (pow i 2) (- (pow beta 2) 1))
(* (pow i 2) (+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* beta (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))))) (+ (* 1/256 (* (pow beta 2) (- (pow beta 2) 1))) (* 1/16 (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))))) (pow i 4))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))) (* 2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))) (+ (* 1/256 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2)))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1)))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* -1 (* beta (+ (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1))))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (+ (* 1/4 (/ (* (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (* 1/2 (/ i (pow (- (* 4 (pow i 2)) 1) 2))))))) (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1)))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(/ (pow i 2) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (pow i 2)) (* 8 (/ (pow i 3) beta))) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* 8 (* i (- (pow i 4) (+ (* 8 (* i (- (* 2 (pow i 3)) (* 8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))))) (+ (* (- (* 2 (pow i 3)) (* 8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3)))))) (pow beta 3))) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (+ (* -1 (/ (- (* -2 (pow i 3)) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (+ (* -8 (/ (* i (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))) beta)) (+ (/ (* (- (* -2 (pow i 3)) (* -8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) beta) (+ (/ (* (pow i 2) (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1))))) beta) (pow i 4)))) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(* (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)))
(* (pow beta 2) (- (pow beta 2) 1))
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* (pow beta 2) (- (pow beta 2) 1)))
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (+ (* 16 (pow beta 2)) (* 32 (* beta i))))))))) (* (pow beta 2) (- (pow beta 2) 1)))
(* 16 (pow i 4))
(* (pow i 4) (+ 16 (* 32 (/ beta i))))
(* (pow i 4) (+ 16 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i)))))))
(* (pow i 4) (+ 16 (+ (* 4 (/ (* beta (- (pow beta 2) 1)) (pow i 3))) (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 4 (/ (pow beta 3) (pow i 3))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i)))))))))
(* 16 (pow i 4))
(* (pow i 4) (+ 16 (* 32 (/ beta i))))
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) i))) i))))
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) i)) (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))) i))) i))))
(* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1)))
(+ (* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3)))))
(+ (* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (+ (* 16 (pow i 3)) (* beta (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))))
(+ (* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (+ (* 16 (pow i 3)) (* beta (- (+ (* 8 (* beta i)) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))) 1))))))
(pow beta 4)
(* (pow beta 4) (+ 1 (* 8 (/ i beta))))
(* (pow beta 4) (- (+ 1 (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 2) (pow beta 2)))))) (/ 1 (pow beta 2))))
(* (pow beta 4) (- (+ 1 (+ (* 4 (/ (* i (- (* 4 (pow i 2)) 1)) (pow beta 3))) (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (+ (* 16 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 3) (pow beta 3)))))))) (/ 1 (pow beta 2))))
(pow beta 4)
(* (pow beta 4) (+ 1 (* 8 (/ i beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) beta))) beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* -1 (/ (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1)))) beta)) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))) 1) beta))) beta))))
(pow i 2)
(+ (* 2 (* beta i)) (pow i 2))
(+ (* beta (+ beta (* 2 i))) (pow i 2))
(+ (* beta (+ beta (* 2 i))) (pow i 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ i beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ i beta)) (/ (pow i 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ i beta)) (/ (pow i 2) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ i beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (* -1 (/ (pow i 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (* -1 (/ (pow i 2) beta))) beta))))
(pow beta 2)
(+ (* 2 (* beta i)) (pow beta 2))
(+ (* i (+ i (* 2 beta))) (pow beta 2))
(+ (* i (+ i (* 2 beta))) (pow beta 2))
(pow i 2)
(* (pow i 2) (+ 1 (* 2 (/ beta i))))
(* (pow i 2) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(* (pow i 2) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(pow i 2)
(* (pow i 2) (+ 1 (* 2 (/ beta i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(* -1 (/ (* i (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* -1 (* i (- (+ (* -2 (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))) (pow (- (pow (+ alpha beta) 2) 1) 2))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))))))) (* -1 (/ (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* -1 (/ (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) (- (pow (+ alpha beta) 2) 1))) (* i (+ (* -1 (* i (- (* 2 (/ 1 (* beta (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (- (+ (* -2 (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))) (pow (- (pow (+ alpha beta) 2) 1) 2))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ alpha (* beta (- (pow (+ alpha beta) 2) 1))))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) (pow (- (pow (+ alpha beta) 2) 1) 2))))))) (* -1 (- (+ (* -2 (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))) (pow (- (pow (+ alpha beta) 2) 1) 2))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))))))))))
(* i (+ (* -1 (/ (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) (- (pow (+ alpha beta) 2) 1))) (* i (+ (* -1 (- (+ (* -2 (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))) (pow (- (pow (+ alpha beta) 2) 1) 2))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ alpha (* beta (- (pow (+ alpha beta) 2) 1))))))) (* i (+ (* -1 (- (* 2 (/ 1 (* beta (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (- (+ (* -2 (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))) (pow (- (pow (+ alpha beta) 2) 1) 2))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ alpha (* beta (- (pow (+ alpha beta) 2) 1))))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (* i (+ (* 4 (/ (* (+ alpha beta) (- (* 2 (/ 1 (* beta (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (- (+ (* -2 (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))) (pow (- (pow (+ alpha beta) 2) 1) 2))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ alpha (* beta (- (pow (+ alpha beta) 2) 1))))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (+ (* -2 (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ (* (+ alpha beta) (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))) (pow (- (pow (+ alpha beta) 2) 1) 2))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ alpha (* beta (- (pow (+ alpha beta) 2) 1)))))) (- (pow (+ alpha beta) 2) 1)))))))))))
(* -1/2 (/ i beta))
(* i (- (* 1/4 (/ (- (+ 1 (/ alpha beta)) (+ (* -2 (/ alpha beta)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta))))) i)) (+ (* -1/2 (/ (+ alpha beta) (* beta i))) (* 1/2 (/ 1 beta)))))
(* i (- (+ (* -1/4 (/ (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) (pow i 2))) (* 1/4 (/ (- (+ 1 (/ alpha beta)) (+ (* -2 (/ alpha beta)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta))))) i))) (+ (* -1/2 (/ (+ alpha beta) (* beta i))) (+ (* -1/8 (/ (- (pow (+ alpha beta) 2) 1) (* beta (pow i 2)))) (+ (* 1/2 (/ 1 beta)) (/ (* (+ alpha beta) (- (* 1/4 (- (+ 1 (/ alpha beta)) (+ (* -2 (/ alpha beta)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))))) (* -1/2 (/ (+ alpha beta) beta)))) (pow i 2)))))))
(* i (- (+ (* -1 (/ (+ (* 1/4 (* (- (* 1/4 (- (+ 1 (/ alpha beta)) (+ (* -2 (/ alpha beta)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))))) (* -1/2 (/ (+ alpha beta) beta))) (- (pow (+ alpha beta) 2) 1))) (* (+ alpha beta) (- (* -1/4 (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))))) (+ (* -1/8 (/ (- (pow (+ alpha beta) 2) 1) beta)) (* (+ alpha beta) (- (* 1/4 (- (+ 1 (/ alpha beta)) (+ (* -2 (/ alpha beta)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))))) (* -1/2 (/ (+ alpha beta) beta)))))))) (pow i 3))) (+ (* -1/4 (/ (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) (pow i 2))) (* 1/4 (/ (- (+ 1 (/ alpha beta)) (+ (* -2 (/ alpha beta)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta))))) i)))) (+ (* -1/2 (/ (+ alpha beta) (* beta i))) (+ (* -1/8 (/ (- (pow (+ alpha beta) 2) 1) (* beta (pow i 2)))) (+ (* 1/2 (/ 1 beta)) (/ (* (+ alpha beta) (- (* 1/4 (- (+ 1 (/ alpha beta)) (+ (* -2 (/ alpha beta)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))))) (* -1/2 (/ (+ alpha beta) beta)))) (pow i 2)))))))
(* -1/2 (/ i beta))
(* -1 (* i (- (+ (* 1/4 (/ (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) 1) i)) (* 1/2 (/ 1 beta))) (* 1/2 (/ (+ alpha beta) (* beta i))))))
(* -1 (* i (+ (* -1 (/ (- (+ (* -1 (- (* 1/4 (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) 1)) (* 1/2 (/ (+ alpha beta) beta)))) (* 1/4 (/ (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) 1)) (* 1/2 (/ (+ alpha beta) beta)))) i)) (* -1/8 (/ (- (pow (+ alpha beta) 2) 1) (* beta i))))) i)) (* 1/2 (/ 1 beta)))))
(* -1 (* i (+ (* -1 (/ (+ (* -1 (- (* 1/4 (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) 1)) (* 1/2 (/ (+ alpha beta) beta)))) (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) 1)) (* 1/2 (/ (+ alpha beta) beta))))) (* -1/8 (/ (- (pow (+ alpha beta) 2) 1) beta))))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) 1)) (* 1/2 (/ (+ alpha beta) beta))))) (* -1/8 (/ (- (pow (+ alpha beta) 2) 1) beta)))))) (* 1/4 (* (- (* 1/4 (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) 1)) (* 1/2 (/ (+ alpha beta) beta))) (- (pow (+ alpha beta) 2) 1)))) i))) i))) i)) (* 1/2 (/ 1 beta)))))
(* -1 (/ (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* -1 (* alpha (- (+ (* -1 (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* 2 (/ (* i (+ i (* 2 i))) (* beta (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (- (* -2 i) i)) (* beta (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* -1 (/ (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* -1 (/ (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (- (pow (+ beta (* 2 i)) 2) 1))) (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ i (* beta (- (pow (+ beta (* 2 i)) 2) 1)))) (* 2 (/ i (* beta (- (pow (+ beta (* 2 i)) 2) 1))))) (+ (* -1 (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 4 (/ (pow i 3) (* beta (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* beta (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* -1 (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* 2 (/ (* i (+ i (* 2 i))) (* beta (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (- (* -2 i) i)) (* beta (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1)))))))) (* -1 (- (+ (* -1 (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* 2 (/ (* i (+ i (* 2 i))) (* beta (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (- (* -2 i) i)) (* beta (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))))
(+ (* -1 (/ (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (- (pow (+ beta (* 2 i)) 2) 1))) (* alpha (+ (* -1 (- (+ (* -1 (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* 2 (/ (* i (+ i (* 2 i))) (* beta (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (- (* -2 i) i)) (* beta (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (* alpha (+ (* -1 (* alpha (- (/ (* (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3)) (+ (* -1 (/ i (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 2 (/ (* i (+ i (* 2 i))) (* beta (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (/ (* i (- (* -2 i) i)) (* beta (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* -1 (/ i (* beta (- (pow (+ beta (* 2 i)) 2) 1)))) (* 2 (/ i (* beta (- (pow (+ beta (* 2 i)) 2) 1))))) (+ (* -1 (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 4 (/ (pow i 3) (* beta (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* beta (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* -1 (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* 2 (/ (* i (+ i (* 2 i))) (* beta (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (- (* -2 i) i)) (* beta (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1))))))) (- (pow (+ beta (* 2 i)) 2) 1)))))))) (* -1 (- (+ (* -1 (/ i (* beta (- (pow (+ beta (* 2 i)) 2) 1)))) (* 2 (/ i (* beta (- (pow (+ beta (* 2 i)) 2) 1))))) (+ (* -1 (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 4 (/ (pow i 3) (* beta (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (+ (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* beta (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* -1 (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* 2 (/ (* i (+ i (* 2 i))) (* beta (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (- (* -2 i) i)) (* beta (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1))))))))))))
(* -1 (+ (* -1 (/ i beta)) (* 2 (/ i beta))))
(+ (* -1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* -1 (/ (- (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta))) (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (+ (* 2 beta) (* 4 i)))) alpha)))
(+ (* -1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (+ (* -1 (/ (- (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta))) (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (+ (* 2 beta) (* 4 i)))) alpha)) (* -1 (/ (- (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 2 beta) (* 4 i)) (- (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta))) (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)))))
(+ (* -1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (+ (* -1 (/ (- (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta))) (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (+ (* 2 beta) (* 4 i)))) alpha)) (+ (* -1 (/ (- (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 2 beta) (* 4 i)) (- (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta))) (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (+ (* 2 beta) (* 4 i))))))) (pow alpha 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 2 beta) (* 4 i)) (- (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta))) (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3)) (/ (* (- (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta))) (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (+ (* 2 beta) (* 4 i)))) (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 3))))))
(* -1 (+ (* -1 (/ i beta)) (* 2 (/ i beta))))
(- (+ (* -2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (+ (* -1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (+ (/ i alpha) (/ (* i (- (* 2 i) (* -1 i))) (* alpha beta))))) (* -2 (/ (* (+ beta (* 2 i)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) alpha)))
(+ (* -1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* -1 (/ (- (+ (* -1 (- (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* 2 i) (* -1 i))) beta))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 (/ i beta)) (* 2 (/ i beta))))))) (+ (* -1 (/ (pow i 2) alpha)) (+ (* 4 (/ (pow i 3) (* alpha beta))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* alpha beta))))) (+ (* -2 (/ (* (+ beta (* 2 i)) (- (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* 2 i) (* -1 i))) beta))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 (/ i beta)) (* 2 (/ i beta))))))) alpha)) (/ (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (- (pow (+ beta (* 2 i)) 2) 1)) alpha))) alpha)))
(+ (* -1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* -1 (/ (+ (* -1 (- (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* 2 i) (* -1 i))) beta))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 (/ i beta)) (* 2 (/ i beta))))))) (* -1 (/ (+ (* -1 (- (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* 2 i) (* -1 i))) beta))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))))))) (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (- (pow (+ beta (* 2 i)) 2) 1))))) (* -1 (/ (+ (* -2 (* (+ beta (* 2 i)) (- (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* 2 i) (* -1 i))) beta))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))))))) (* (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (- (pow (+ beta (* 2 i)) 2) 1)))))) (* (- (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* 2 i) (* -1 i))) beta))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))))) (- (pow (+ beta (* 2 i)) 2) 1))) alpha))) alpha))) alpha)))
(* -1 (/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (* beta (- (pow (+ alpha (* 2 i)) 2) 1))))
(/ (+ (* -1 (* beta (- (* -1 (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (+ (* 2 alpha) (* 4 i)) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* -1 (/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)
(/ (+ (* -1 (/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (- (pow (+ alpha (* 2 i)) 2) 1))) (* beta (+ (* -1 (- (* -1 (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (+ (* 2 alpha) (* 4 i)) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (* beta (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* -1 (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (+ (* 2 alpha) (* 4 i)) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (- (pow (+ alpha (* 2 i)) 2) 1)))))))) beta)
(/ (+ (* -1 (/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (- (pow (+ alpha (* 2 i)) 2) 1))) (* beta (+ (* -1 (- (* -1 (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (+ (* 2 alpha) (* 4 i)) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (* beta (+ (* -1 (* beta (- (/ (* (+ (* 2 alpha) (* 4 i)) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3)) (+ (* -1 (/ (* i (+ alpha i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (* -1 (/ (* (+ (* 2 alpha) (* 4 i)) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* -1 (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (+ (* 2 alpha) (* 4 i)) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (- (pow (+ alpha (* 2 i)) 2) 1))))) (- (pow (+ alpha (* 2 i)) 2) 1))))))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* -1 (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (+ (* 2 alpha) (* 4 i)) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (- (pow (+ alpha (* 2 i)) 2) 1))))))))) beta)
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (* -1 (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))) (pow beta 2))) (+ (* -1 (/ (- (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (* -1 (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (+ (* i (+ alpha i)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (* -1 (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))))) (pow beta 2))
(/ (+ (* -1 (/ (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))) (pow beta 2))) (+ (* -1 (/ (* (+ (* -1 (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1)))) (* (+ (* 2 alpha) (* 4 i)) (- (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (* -1 (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))))) (+ (* 2 alpha) (* 4 i))) (pow beta 3))) (+ (* -1 (/ (- (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (* -1 (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (+ (* i (+ alpha i)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (* -1 (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 2)) (/ (* (- (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) (* -1 (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (- (pow (+ alpha (* 2 i)) 2) 1)) (pow beta 3))))))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)) (* i (+ alpha i))) (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta))) (pow beta 2))
(/ (+ (* -1 (/ (+ (* -1 (- (* -1 (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -2 (* (+ alpha (* 2 i)) (- (* -1 (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i)))))))) (* -1 (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))))) beta))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (+ (* -1 (- (* -1 (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -2 (* (+ alpha (* 2 i)) (- (* -1 (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i)))))))) (+ (* -1 (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1)))) (* -1 (/ (+ (* 2 (* (+ alpha (* 2 i)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* -1 (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i)))))))) (* -1 (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))))))) (* (- (* -1 (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i)))))) (- (pow (+ alpha (* 2 i)) 2) 1))) beta)))) beta))) beta)) (* i (+ alpha i))) (pow beta 2))
(* i (+ (* -1 (pow alpha 2)) (* 2 (pow alpha 2))))
(* i (+ (* -1 (pow alpha 2)) (+ (* 2 (pow alpha 2)) (* i (- (+ (* -2 alpha) (* 2 (+ alpha (* 2 alpha)))) alpha)))))
(* i (+ (* -1 (pow alpha 2)) (+ (* 2 (pow alpha 2)) (* i (- (+ (* -2 alpha) (+ (* 2 i) (* 2 (+ alpha (* 2 alpha))))) alpha)))))
(* i (+ (* -1 (pow alpha 2)) (+ (* 2 (pow alpha 2)) (* i (- (+ (* -2 alpha) (+ (* 2 i) (* 2 (+ alpha (* 2 alpha))))) alpha)))))
(* 2 (pow i 3))
(* (pow i 3) (- (+ 2 (+ (* -2 (/ alpha i)) (* 2 (/ (+ alpha (* 2 alpha)) i)))) (/ alpha i)))
(* (pow i 3) (- (+ 2 (+ (* -2 (/ alpha i)) (+ (* -1 (/ (pow alpha 2) (pow i 2))) (+ (* 2 (/ (+ alpha (* 2 alpha)) i)) (* 2 (/ (pow alpha 2) (pow i 2))))))) (/ alpha i)))
(* (pow i 3) (- (+ 2 (+ (* -2 (/ alpha i)) (+ (* -1 (/ (pow alpha 2) (pow i 2))) (+ (* 2 (/ (+ alpha (* 2 alpha)) i)) (* 2 (/ (pow alpha 2) (pow i 2))))))) (/ alpha i)))
(* 2 (pow i 3))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* 2 alpha) (* -1 alpha))) (* 2 (+ alpha (* 2 alpha)))) i)) 2)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* 2 alpha) (* -1 alpha))) (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (pow alpha 2)) i)) (* 2 (+ alpha (* 2 alpha))))) i)) 2)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (- (* 2 alpha) (* -1 alpha))) (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (pow alpha 2)) i)) (* 2 (+ alpha (* 2 alpha))))) i)) 2)))
(+ (* 4 (pow i 3)) (* i (- (* -1 (pow i 2)) (pow i 2))))
(+ (* 4 (pow i 3)) (+ (* alpha (+ (* 2 (* i (+ i (* 2 i)))) (* i (- (* -2 i) i)))) (* i (- (* -1 (pow i 2)) (pow i 2)))))
(+ (* 4 (pow i 3)) (+ (* alpha (+ (* 2 (* i (+ i (* 2 i)))) (+ (* alpha (+ (* -1 i) (* 2 i))) (* i (- (* -2 i) i))))) (* i (- (* -1 (pow i 2)) (pow i 2)))))
(+ (* 4 (pow i 3)) (+ (* alpha (+ (* 2 (* i (+ i (* 2 i)))) (+ (* alpha (+ (* -1 i) (* 2 i))) (* i (- (* -2 i) i))))) (* i (- (* -1 (pow i 2)) (pow i 2)))))
(* (pow alpha 2) (+ (* -1 i) (* 2 i)))
(* (pow alpha 2) (+ (* -1 i) (+ (* 2 i) (+ (* 2 (/ (* i (+ i (* 2 i))) alpha)) (/ (* i (- (* -2 i) i)) alpha)))))
(* (pow alpha 2) (+ (* -1 i) (+ (* 2 i) (+ (* 2 (/ (* i (+ i (* 2 i))) alpha)) (+ (* 4 (/ (pow i 3) (pow alpha 2))) (+ (/ (* i (- (* -2 i) i)) alpha) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (pow alpha 2))))))))
(* (pow alpha 2) (+ (* -1 i) (+ (* 2 i) (+ (* 2 (/ (* i (+ i (* 2 i))) alpha)) (+ (* 4 (/ (pow i 3) (pow alpha 2))) (+ (/ (* i (- (* -2 i) i)) alpha) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (pow alpha 2))))))))
(* (pow alpha 2) (+ (* -1 i) (* 2 i)))
(* (pow alpha 2) (+ (* -1 i) (+ (* -1 (/ (+ (* -2 (* i (+ i (* 2 i)))) (* i (- (* 2 i) (* -1 i)))) alpha)) (* 2 i))))
(* (pow alpha 2) (+ (* -1 i) (+ (* -1 (/ (+ (* -2 (* i (+ i (* 2 i)))) (+ (* -1 (/ (+ (* 4 (pow i 3)) (* i (- (* -1 (pow i 2)) (pow i 2)))) alpha)) (* i (- (* 2 i) (* -1 i))))) alpha)) (* 2 i))))
(* (pow alpha 2) (+ (* -1 i) (+ (* -1 (/ (+ (* -2 (* i (+ i (* 2 i)))) (+ (* -1 (/ (+ (* 4 (pow i 3)) (* i (- (* -1 (pow i 2)) (pow i 2)))) alpha)) (* i (- (* 2 i) (* -1 i))))) alpha)) (* 2 i))))
(/ (* i (+ (* -1 (pow alpha 2)) (* 2 (pow alpha 2)))) beta)
(* i (+ (* -1 (/ (pow alpha 2) beta)) (+ (* 2 (/ (pow alpha 2) beta)) (* i (- (+ (* -2 (/ alpha beta)) (* 2 (/ (+ alpha (* 2 alpha)) beta))) (/ alpha beta))))))
(* i (+ (* -1 (/ (pow alpha 2) beta)) (+ (* 2 (/ (pow alpha 2) beta)) (* i (- (+ (* -2 (/ alpha beta)) (+ (* 2 (/ i beta)) (* 2 (/ (+ alpha (* 2 alpha)) beta)))) (/ alpha beta))))))
(* i (+ (* -1 (/ (pow alpha 2) beta)) (+ (* 2 (/ (pow alpha 2) beta)) (* i (- (+ (* -2 (/ alpha beta)) (+ (* 2 (/ i beta)) (* 2 (/ (+ alpha (* 2 alpha)) beta)))) (/ alpha beta))))))
(* 2 (/ (pow i 3) beta))
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (* 2 (/ (+ alpha (* 2 alpha)) (* beta i))) (* 2 (/ 1 beta)))) (/ alpha (* beta i))))
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (* -1 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 2 (/ (+ alpha (* 2 alpha)) (* beta i))) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 2 (/ 1 beta)))))) (/ alpha (* beta i))))
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (* -1 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 2 (/ (+ alpha (* 2 alpha)) (* beta i))) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 2 (/ 1 beta)))))) (/ alpha (* beta i))))
(* 2 (/ (pow i 3) beta))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (- (* 2 alpha) (* -1 alpha)) beta)) (* 2 (/ (+ alpha (* 2 alpha)) beta))) i)) (* 2 (/ 1 beta)))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta)) i)) (+ (* -1 (/ (- (* 2 alpha) (* -1 alpha)) beta)) (* 2 (/ (+ alpha (* 2 alpha)) beta)))) i)) (* 2 (/ 1 beta)))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta)) i)) (+ (* -1 (/ (- (* 2 alpha) (* -1 alpha)) beta)) (* 2 (/ (+ alpha (* 2 alpha)) beta)))) i)) (* 2 (/ 1 beta)))))
(/ (+ (* 4 (pow i 3)) (* i (- (* -1 (pow i 2)) (pow i 2)))) beta)
(+ (* 4 (/ (pow i 3) beta)) (+ (* alpha (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta)))
(+ (* 4 (/ (pow i 3) beta)) (+ (* alpha (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (+ (* alpha (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (/ (* i (- (* -2 i) i)) beta)))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta)))
(+ (* 4 (/ (pow i 3) beta)) (+ (* alpha (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (+ (* alpha (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (/ (* i (- (* -2 i) i)) beta)))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta)))
(/ (* (pow alpha 2) (+ (* -1 i) (* 2 i))) beta)
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* 2 (/ i beta)) (+ (* 2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (/ (* i (- (* -2 i) i)) (* alpha beta))))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* 2 (/ i beta)) (+ (* 2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (+ (* 4 (/ (pow i 3) (* (pow alpha 2) beta))) (+ (/ (* i (- (* -2 i) i)) (* alpha beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* (pow alpha 2) beta))))))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* 2 (/ i beta)) (+ (* 2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (+ (* 4 (/ (pow i 3) (* (pow alpha 2) beta))) (+ (/ (* i (- (* -2 i) i)) (* alpha beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* (pow alpha 2) beta))))))))
(/ (* (pow alpha 2) (+ (* -1 i) (* 2 i))) beta)
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* -1 (/ (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* 2 i) (* -1 i))) beta)) alpha)) (* 2 (/ i beta)))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* -1 (/ (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (+ (* -1 (/ (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta)) alpha)) (/ (* i (- (* 2 i) (* -1 i))) beta))) alpha)) (* 2 (/ i beta)))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* -1 (/ (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (+ (* -1 (/ (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta)) alpha)) (/ (* i (- (* 2 i) (* -1 i))) beta))) alpha)) (* 2 (/ i beta)))))
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(* i (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))))
(* i (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (+ (* 2 (/ (pow alpha 2) beta)) (* i (- (+ (* -2 (/ alpha beta)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) (+ 1 (/ alpha beta))))))))
(* i (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (+ (* 2 (/ (pow alpha 2) beta)) (* i (- (+ (* -2 (/ alpha beta)) (+ (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta))) (* 2 (/ i beta)))) (+ 1 (/ alpha beta))))))))
(* i (+ (* -1 alpha) (+ (* -1 (/ (pow alpha 2) beta)) (+ (* 2 (/ (pow alpha 2) beta)) (* i (- (+ (* -2 (/ alpha beta)) (+ (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta))) (* 2 (/ i beta)))) (+ 1 (/ alpha beta))))))))
(* 2 (/ (pow i 3) beta))
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) i)) (* 2 (/ 1 beta)))) (+ (/ 1 i) (/ alpha (* beta i)))))
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (* -1 (/ alpha (pow i 2))) (+ (* -1 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) i)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 2 (/ 1 beta))))))) (+ (/ 1 i) (/ alpha (* beta i)))))
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (* -1 (/ alpha (pow i 2))) (+ (* -1 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 2 (/ (+ (* 2 (/ alpha beta)) (/ alpha beta)) i)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 2 (/ 1 beta))))))) (+ (/ 1 i) (/ alpha (* beta i)))))
(* 2 (/ (pow i 3) beta))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) 1) i)) (* 2 (/ 1 beta)))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (+ (* -1 (/ (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta))) i)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta))))) 1) i)) (* 2 (/ 1 beta)))))
(* -1 (* (pow i 3) (- (* -1 (/ (- (+ (* -1 (- (* 2 (/ alpha beta)) (* -1 (/ alpha beta)))) (+ (* -1 (/ (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta))) i)) (* 2 (+ (* 2 (/ alpha beta)) (/ alpha beta))))) 1) i)) (* 2 (/ 1 beta)))))
(+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta)))
(+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (+ (* alpha (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* -2 i) i)) beta)))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))))
(+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (+ (* alpha (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (+ (* alpha (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (/ (* i (- (* -2 i) i)) beta))))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))))
(+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (+ (* alpha (+ (* -1 i) (+ (* 2 (/ (* i (+ i (* 2 i))) beta)) (+ (* alpha (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (/ (* i (- (* -2 i) i)) beta))))) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* 2 (/ i beta))))
(* (pow alpha 2) (+ (* -1 (/ i alpha)) (+ (* -1 (/ i beta)) (+ (* 2 (/ i beta)) (+ (* 2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (/ (* i (- (* -2 i) i)) (* alpha beta)))))))
(* (pow alpha 2) (+ (* -1 (/ i alpha)) (+ (* -1 (/ i beta)) (+ (* -1 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ i beta)) (+ (* 2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (+ (* 4 (/ (pow i 3) (* (pow alpha 2) beta))) (+ (/ (* i (- (* -2 i) i)) (* alpha beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* (pow alpha 2) beta))))))))))
(* (pow alpha 2) (+ (* -1 (/ i alpha)) (+ (* -1 (/ i beta)) (+ (* -1 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ i beta)) (+ (* 2 (/ (* i (+ i (* 2 i))) (* alpha beta))) (+ (* 4 (/ (pow i 3) (* (pow alpha 2) beta))) (+ (/ (* i (- (* -2 i) i)) (* alpha beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) (* (pow alpha 2) beta))))))))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* 2 (/ i beta))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* -1 (/ (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (/ (* i (- (* 2 i) (* -1 i))) beta))) alpha)) (* 2 (/ i beta)))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* -1 (/ (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (+ (* -1 (/ (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) alpha)) (/ (* i (- (* 2 i) (* -1 i))) beta)))) alpha)) (* 2 (/ i beta)))))
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (* -1 (/ (+ i (+ (* -2 (/ (* i (+ i (* 2 i))) beta)) (+ (* -1 (/ (+ (* -1 (pow i 2)) (+ (* 4 (/ (pow i 3) beta)) (/ (* i (- (* -1 (pow i 2)) (pow i 2))) beta))) alpha)) (/ (* i (- (* 2 i) (* -1 i))) beta)))) alpha)) (* 2 (/ i beta)))))
(/ (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i))))) beta)
(/ (+ (* -1 (* beta (* i (+ alpha i)))) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) beta)
(/ (+ (* -1 (* beta (* i (+ alpha i)))) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) beta)
(/ (+ (* -1 (* beta (* i (+ alpha i)))) (+ (* 2 (* i (* (+ alpha i) (+ alpha (* 2 i))))) (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))))) beta)
(* -1 (* i (+ alpha i)))
(+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))
(+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))
(+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))
(* -1 (* i (+ alpha i)))
(+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))
(+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))
(+ (* -1 (* i (+ alpha i))) (+ (* 2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (/ (* i (- (* -1 (pow (+ alpha i) 2)) (* i (+ alpha i)))) beta)))

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

simplify163.0ms (1.4%)

Memory

9.5MiB live, 123.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	991	15801
1	992	15801
0	992	15801

Stop Event

1×	saturated
1×	saturated

Counts

424 → 0

Calls

Call 1

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

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

eval243.0ms (2%)

Memory: 9.6MiB live, 237.4MiB allocated
Compiler: Compiled 57 151 to 1 628 computations (97.2% saved)

prune122.0ms (1%)

Memory

15.6MiB live, 137.4MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 133	19	1 152
Fresh	3	3	6
Picked	2	3	5
Done	0	0	0
Total	1 138	25	1 163

Accuracy

88.7%

Counts

1 163 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.5%	(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)) beta) (.f64 i (+.f64 alpha i))) (.f64 beta beta))
	15.0%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha 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)))
	12.2%	(/.f64 (-.f64 (.f64 i i) (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta)) (*.f64 beta beta))
✓	12.2%	(/.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))))
	16.8%	(/.f64 (.f64 i (fma.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 alpha (/.f64 beta (+.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)))
	13.7%	(/.f64 (.f64 i (fma.f64 alpha (/.f64 beta (+.f64 alpha beta)) (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (+.f64 alpha beta))))))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -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)))
▶	18.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
	9.9%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (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))) #s(literal 1 binary64)))
	9.9%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 4 binary64))) #s(literal 1 binary64)))
▶	18.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.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))) #s(literal 1 binary64)))
✓	15.7%	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
	17.6%	(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
▶	14.9%	(/.f64 (.f64 i i) (.f64 beta beta))
	12.9%	(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
	11.2%	(/.f64 (.f64 alpha i) (.f64 beta beta))
▶	29.5%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
	1.9%	(/.f64 (*.f64 #s(literal -1/2 binary64) i) beta)
	12.5%	(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))) beta))) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 #s(literal 4 binary64) (.f64 i (+.f64 alpha beta)))) #s(literal 1 binary64)))
	12.8%	(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (.f64 #s(literal 2 binary64) (.f64 i (.f64 i i))) 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)))
	12.4%	(/.f64 (neg.f64 (.f64 i (-.f64 (/.f64 (.f64 alpha alpha) beta) alpha))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
	1.9%	(/.f64 (neg.f64 i) beta)
▶	2.0%	(/.f64 i alpha)
	15.6%	(.f64 i (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 i (*.f64 beta beta))))
	11.2%	(.f64 alpha (/.f64 i (.f64 beta beta)))
✓	74.7%	#s(literal 1/16 binary64)

Compiler

Compiled 1 547 to 621 computations (59.9% saved)

simplify448.0ms (3.8%)

Memory

-23.8MiB live, 417.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.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))
✓	cost-diff	128	(-.f64 (.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))) #s(literal 1 binary64))
✓	cost-diff	512	(-.f64 (.f64 (+.f64 alpha beta) #s(literal -4 binary64)) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) i))
✓	cost-diff	704	(.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)))
✓	cost-diff	0	(+.f64 alpha i)
✓	cost-diff	0	(*.f64 i (+.f64 alpha i))
✓	cost-diff	0	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
✓	cost-diff	128	(-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 (.f64 i i) (.f64 beta beta))
✓	cost-diff	0	(/.f64 i alpha)
✓	cost-diff	0	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 i i))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))

Rules

11 328×	`lower-fma.f32`
11 324×	`lower-fma.f64`
3 932×	`lower-+.f32`
3 926×	`lower-+.f64`
3 282×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	314
0	58	314
1	122	290
2	290	290
3	852	290
4	2988	284
0	8052	273

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (1.3%)

Memory

17.8MiB live, 216.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.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)))
✓	accuracy	94.5%	(/.f64 (-.f64 (.f64 (+.f64 alpha beta) #s(literal -4 binary64)) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) i)) i)
✓	accuracy	86.3%	(/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) i)
✓	accuracy	44.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.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))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 i (+.f64 alpha i))
✓	accuracy	100.0%	(fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))
✓	accuracy	100.0%	(*.f64 (+.f64 alpha beta) (+.f64 alpha beta))
✓	accuracy	44.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	75.6%	(/.f64 (.f64 i i) (.f64 beta beta))
✓	accuracy	100.0%	(/.f64 i alpha)
✓	accuracy	100.0%	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 #s(literal 1/4 binary64) (.f64 i i))
✓	accuracy	51.2%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))

Samples

56.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 321 to 36 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 14.0ms (39.5% of total)

ival-div: 10.0ms (28.2% of total)

ival-add: 6.0ms (16.9% of total)

ival-sub: 4.0ms (11.3% of total)

exact: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

series61.0ms (0.5%)

Memory

-1.8MiB live, 111.0MiB allocated

Counts

15 → 372

Calls

Call 1

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

Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 1/4 (pow i 2))>
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#<alt (* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))>
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#<alt (* alpha i)>
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#<alt 1/4>
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#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (+ (* -1 (/ (+ (* -1/4 (* (+ 1 (* -1 (pow (+ alpha beta) 2))) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* (+ alpha beta) (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* 1/16 (+ 1 (* -1 (pow (+ alpha beta) 2))))))) i)) (* 1/16 (+ 1 (* -1 (pow (+ alpha beta) 2)))))) i))) i)))>
#<alt (/ (pow i 2) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))>
#<alt (+ (* alpha (- (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2)))) (/ (pow i 2) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (pow i 2) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2)))) (/ (pow i 2) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 3)) (+ (* -1 (/ (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (+ (/ (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (pow i 2) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (/ i (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (+ (/ (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (pow i 2) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2)))) (/ (pow i 2) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)))>
#<alt (/ i alpha)>
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#<alt (/ i alpha)>
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#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) alpha)) (+ (/ (* (pow i 2) (* (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (pow i 2) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))))) alpha) (pow i 2))) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow i 2) (* (+ (* -1 (* i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (* (pow i 2) (* (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (pow i 2) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))))))))) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))))) alpha)) (/ (* (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) (- (pow i 2) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))))))) alpha)) (+ (* -1 (* i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (* (pow i 2) (* (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (pow i 2) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))))))) alpha)) (pow i 2)) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))) alpha))) alpha))>
#<alt (/ (* i (+ alpha i)) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1))>
#<alt (+ (* -1 (/ (* beta (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2))) (/ (* i (+ alpha i)) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 3))) (/ (* i (+ alpha i)) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2))))) (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2)))) (/ (* i (+ alpha i)) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow i 2) (* (+ (* -1 (/ (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 3))) (/ (* i (+ alpha i)) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2))) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1))) (* -1 (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 3)))))) (+ (* -1 (/ (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 3))) (/ (* i (+ alpha i)) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2))))) (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2)))) (/ (* i (+ alpha i)) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (pow i 2) (* (+ (* -1 (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2)))) (* i (* (+ alpha i) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))))) (* -1 (* (pow i 3) (* (+ alpha i) (* (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))))) (pow beta 3))) (* i (+ alpha i))) (+ (* -1 (/ (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2))) (pow beta 2))) (+ (/ (* i (* (+ alpha i) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1))) (pow beta 2)) (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta)))) (pow beta 2))>
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#<alt (/ (pow beta 2) i)>
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#<alt (* (pow alpha 2) (- (+ (* -4 (/ beta (* (pow alpha 2) i))) (* -1 (/ (+ 4 (* 2 (/ beta i))) (* alpha i)))) (+ (/ 1 (pow i 2)) (/ (pow beta 2) (* (pow alpha 2) (pow i 2))))))>
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#<alt (pow alpha 2)>
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#<alt (pow alpha 2)>
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#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) alpha)) (* (pow i 2) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))))) alpha))))>
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#<alt (pow beta 2)>
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#<alt (* (pow beta 2) (+ 1 (+ (/ (* (pow i 2) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))) beta) (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (* (pow i 2) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) beta)) (* (pow i 2) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) beta)) (* (pow i 2) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta))))>

Calls

93 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	0	(+ (* i (* 4 (+ i (+ alpha beta)))) (* (+ alpha beta) (+ alpha beta)))
4.0ms	alpha	@	0	(/ (* i (+ alpha i)) (- (+ (* i (* 4 (+ i (+ alpha beta)))) (* (+ alpha beta) (+ alpha beta))) 1))
3.0ms	beta	@	inf	(* (* i i) (- 4 (/ (- (* (+ alpha beta) -4) (/ (* (+ alpha beta) (+ alpha beta)) i)) i)))
2.0ms	alpha	@	0	(/ (* i (+ alpha i)) (- (* (* i i) (- 4 (/ (- (* (+ alpha beta) -4) (/ (* (+ alpha beta) (+ alpha beta)) i)) i))) 1))
2.0ms	beta	@	0	(/ (* i (+ alpha i)) (- (* (* i i) (- 4 (/ (- (* (+ alpha beta) -4) (/ (* (+ alpha beta) (+ alpha beta)) i)) i))) 1))

rewrite306.0ms (2.6%)

Memory

10.0MiB live, 644.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 672×	`lower-/.f32`
4 658×	`lower-/.f64`
4 616×	`lower-*.f32`
4 600×	`lower-*.f64`
2 982×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	171
0	58	157
1	272	149
2	2303	149
0	8491	148

Stop Event

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

Counts

15 → 475

Calls

Call 1

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

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

simplify496.0ms (4.2%)

Memory

-31.0MiB live, 781.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 736×	`lower-*.f64`
6 736×	`lower-*.f32`
6 604×	`lower-fma.f64`
6 604×	`lower-fma.f32`
5 134×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	983	9908
1	3195	9729
0	8130	9118

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ i alpha)
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (pow i 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)
(pow beta 2)
(pow beta 2)
(/ (* alpha i) (- (pow (+ alpha beta) 2) 1))
(* i (+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
1/4
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))))) (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1)))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (pow i 2)))))
1/4
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))) i))) i)))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (+ (* -1 (/ (+ (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1))) (* (+ alpha beta) (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))))) i)) (* -1/16 (- (pow (+ alpha beta) 2) 1)))) i))) i)))
(/ (pow i 2) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))
(+ (* alpha (- (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (/ (pow i 2) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (pow i 2) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2))))) (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (/ (pow i 2) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 3)) (+ (* -1 (/ (* (+ (* 2 beta) (* 4 i)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (pow i 2) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (/ i (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2))))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (pow i 2) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2))))) (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (/ (pow i 2) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)))
(/ i alpha)
(/ (- (+ i (/ (pow i 2) alpha)) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ (pow i 2) alpha))) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))))) (* (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 3))) (/ (pow i 2) alpha))) (+ (/ (* i (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)
(/ i alpha)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) alpha)) (+ (/ (* (+ (* -4 i) (* -2 beta)) (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta)))))) alpha) (pow i 2))) (* -1 (* i (+ (* -4 i) (* -2 beta))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 i) (* -2 beta)) (+ (* -1 (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (* (+ (* -4 i) (* -2 beta)) (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta)))))))) alpha)) (/ (* (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta)))))) alpha)) (+ (* -1 (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (* (+ (* -4 i) (* -2 beta)) (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta)))))))) alpha)) (pow i 2)) (* -1 (* i (+ (* -4 i) (* -2 beta))))) alpha))) alpha))
(/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))
(+ (* -1 (/ (* beta (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))) (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))) (/ (* i (+ alpha i)) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2)))) (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))) (* -1 (/ (* (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))) (/ (* i (+ alpha i)) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))) (+ (* 2 alpha) (* 4 i))) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))) (/ (* i (+ alpha i)) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2)))) (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))) (pow beta 2))) (* i (+ alpha i))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ alpha i) (* (+ (* 2 alpha) (* 4 i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))))) (* -1 (* (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))) (+ (* 2 alpha) (* 4 i))))) (pow beta 3))) (* i (+ alpha i))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow beta 2))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (/ (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))) (pow beta 2))))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* -4 i) (* -2 alpha)) 2))) beta)) (/ (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))) beta)) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* i (* (+ alpha i) (* (+ (* -4 i) (* -2 alpha)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))) beta)) (* -1 (/ (* (+ (* -4 i) (* -2 alpha)) (+ (* -1 (* i (* (+ alpha i) (pow (+ (* -4 i) (* -2 alpha)) 2)))) (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))))) beta))) (+ (* -1 (* i (* (+ alpha i) (pow (+ (* -4 i) (* -2 alpha)) 2)))) (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))))) beta)) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) beta)) (* i (+ alpha i))) (pow beta 2))
(pow beta 2)
(+ (* 2 (* alpha beta)) (pow beta 2))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(pow alpha 2)
(+ (* 2 (* alpha beta)) (pow alpha 2))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 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))))
(+ (* 4 (* i (+ beta i))) (pow beta 2))
(+ (* 4 (* i (+ beta i))) (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow beta 2)))
(+ (* 4 (* i (+ beta i))) (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow beta 2)))
(+ (* 4 (* i (+ beta i))) (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow beta 2)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 4 (/ (* i (+ beta i)) (pow alpha 2))) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 4 (/ (* i (+ beta i)) (pow alpha 2))) (/ (pow beta 2) (pow alpha 2)))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -2 beta)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -4 i) (+ (* -2 beta) (* -1 (/ (+ (* 4 (* i (+ beta i))) (pow beta 2)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -4 i) (+ (* -2 beta) (* -1 (/ (+ (* 4 (* i (+ beta i))) (pow beta 2)) alpha)))) alpha))))
(+ (* 4 (* i (+ alpha i))) (pow alpha 2))
(+ (* 4 (* i (+ alpha i))) (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow alpha 2)))
(+ (* 4 (* i (+ alpha i))) (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow alpha 2)))
(+ (* 4 (* i (+ alpha i))) (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow alpha 2)))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 4 (/ (* i (+ alpha i)) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 4 (/ (* i (+ alpha i)) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -2 alpha)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (+ (* -2 alpha) (* -1 (/ (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (+ (* -2 alpha) (* -1 (/ (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) beta)))) beta))))
(* 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)))
(* (pow i 2) (+ 1 (/ alpha i)))
(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))
(+ (* alpha i) (pow i 2))
(+ (* alpha i) (pow i 2))
(* alpha i)
(* alpha (+ i (/ (pow i 2) alpha)))
(* alpha (+ i (/ (pow i 2) alpha)))
(* alpha (+ i (/ (pow i 2) alpha)))
(* alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(/ (* alpha i) (- (pow (+ alpha beta) 2) 1))
(* i (+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
1/4
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/4 (+ (* -1 (/ (+ (* -1/16 (+ 1 (* -1 (pow (+ alpha beta) 2)))) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* -1/16 (+ 1 (* -1 (pow (+ alpha beta) 2)))) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))))) (* -1/4 (* (+ 1 (* -1 (pow (+ alpha beta) 2))) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* -1/16 (/ (+ 1 (* -1 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (pow i 2)))))
1/4
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* 1/16 (+ 1 (* -1 (pow (+ alpha beta) 2))))) i))) i)))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (+ (* -1 (/ (+ (* -1/4 (* (+ 1 (* -1 (pow (+ alpha beta) 2))) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* (+ alpha beta) (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* 1/16 (+ 1 (* -1 (pow (+ alpha beta) 2))))))) i)) (* 1/16 (+ 1 (* -1 (pow (+ alpha beta) 2)))))) i))) i)))
(/ (pow i 2) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))
(+ (* alpha (- (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2)))) (/ (pow i 2) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (pow i 2) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2)))) (/ (pow i 2) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 3)) (+ (* -1 (/ (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (+ (/ (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (pow i 2) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (/ i (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (+ (/ (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (/ (pow i 2) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2))))) (/ i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (/ (* (pow i 4) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) 2)))) (/ (pow i 2) (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)))
(/ i alpha)
(/ (- (+ i (/ (pow i 2) alpha)) (/ (* (pow i 3) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (pow i 2) (* (pow i 3) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))))) (pow alpha 2))) (/ (pow i 2) alpha))) (/ (* (pow i 3) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (+ (* i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (pow i 2) (* (pow i 3) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))))))))))) (* (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) (- (pow i 2) (* (pow i 3) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))))))) (pow alpha 3))) (/ (pow i 2) alpha))) (+ (/ (* i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) (pow alpha 2)) (+ (/ (* (pow i 2) (* (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (pow i 2) (* (pow i 3) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))))))) (pow alpha 2)) (/ (* (pow i 3) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) alpha)))) alpha)
(/ i alpha)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (pow i 2) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1)) alpha)) (+ (/ (* (pow i 2) (* (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (pow i 2) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))))) alpha) (pow i 2))) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow i 2) (* (+ (* -1 (* i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (* (pow i 2) (* (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (pow i 2) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))))))))) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))))) alpha)) (/ (* (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1) (- (pow i 2) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))))))) alpha)) (+ (* -1 (* i (- (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) 1))) (* (pow i 2) (* (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))) (- (pow i 2) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))))))) alpha)) (pow i 2)) (* -1 (* (pow i 3) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))) alpha))) alpha))
(/ (* i (+ alpha i)) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1))
(+ (* -1 (/ (* beta (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2))) (/ (* i (+ alpha i)) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 3))) (/ (* i (+ alpha i)) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2))))) (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2)))) (/ (* i (+ alpha i)) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow i 2) (* (+ (* -1 (/ (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 3))) (/ (* i (+ alpha i)) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2))) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1))) (* -1 (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 3)))))) (+ (* -1 (/ (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 3))) (/ (* i (+ alpha i)) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2))))) (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) (pow (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1) 2)))) (/ (* i (+ alpha i)) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* -1 (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2)))) (* i (* (+ alpha i) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))) (pow beta 2))) (* i (+ alpha i))) (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow i 2) (* (+ (* -1 (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2)))) (* i (* (+ alpha i) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))))) (* -1 (* (pow i 3) (* (+ alpha i) (* (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))))) (pow beta 3))) (* i (+ alpha i))) (+ (* -1 (/ (* (pow i 5) (* (+ alpha i) (pow (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2))) (pow beta 2))) (+ (/ (* i (* (+ alpha i) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1))) (pow beta 2)) (/ (* (pow i 3) (* (+ alpha i) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta)))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* (pow i 3) (* (+ alpha i) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow i 5) (* (+ alpha i) (pow (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2))) beta)) (/ (* i (* (+ alpha i) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1))) beta)) (* (pow i 3) (* (+ alpha i) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow i 2) (* (+ (* -1 (* (pow i 5) (* (+ alpha i) (pow (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2)))) (* i (* (+ alpha i) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta)) (* -1 (/ (* (pow i 3) (* (+ alpha i) (* (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1)))) beta))) (+ (* -1 (* (pow i 5) (* (+ alpha i) (pow (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))) 2)))) (* i (* (+ alpha i) (- (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) 1))))) beta)) (* (pow i 3) (* (+ alpha i) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (pow beta 2) i)
(+ (* 2 (/ (* alpha beta) i)) (/ (pow beta 2) i))
(+ (* alpha (+ (* 2 (/ beta i)) (/ alpha i))) (/ (pow beta 2) i))
(+ (* alpha (+ (* 2 (/ beta i)) (/ alpha i))) (/ (pow beta 2) i))
(/ (pow alpha 2) i)
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha i))) (/ 1 i)))
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha i))) (+ (/ 1 i) (/ (pow beta 2) (* (pow alpha 2) i)))))
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha i))) (+ (/ 1 i) (/ (pow beta 2) (* (pow alpha 2) i)))))
(/ (pow alpha 2) i)
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha i))) (/ 1 i)))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ beta i)) (* -1 (/ (pow beta 2) (* alpha i)))) alpha)) (/ 1 i)))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ beta i)) (* -1 (/ (pow beta 2) (* alpha i)))) alpha)) (/ 1 i)))
(/ (pow alpha 2) i)
(+ (* 2 (/ (* alpha beta) i)) (/ (pow alpha 2) i))
(+ (* beta (+ (* 2 (/ alpha i)) (/ beta i))) (/ (pow alpha 2) i))
(+ (* beta (+ (* 2 (/ alpha i)) (/ beta i))) (/ (pow alpha 2) i))
(/ (pow beta 2) i)
(* (pow beta 2) (+ (* 2 (/ alpha (* beta i))) (/ 1 i)))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (/ (pow alpha 2) (* (pow beta 2) i)))))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (/ (pow alpha 2) (* (pow beta 2) i)))))
(/ (pow beta 2) i)
(* (pow beta 2) (+ (* 2 (/ alpha (* beta i))) (/ 1 i)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (/ alpha i)) (* -1 (/ (pow alpha 2) (* beta i)))) beta)) (/ 1 i)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (/ alpha i)) (* -1 (/ (pow alpha 2) (* beta i)))) beta)) (/ 1 i)))
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (pow (+ alpha beta) 2) i)
(/ (- (* -4 beta) (/ (pow beta 2) i)) i)
(- (+ (* -4 (/ beta i)) (* -1 (/ (* alpha (+ 4 (* 2 (/ beta i)))) i))) (/ (pow beta 2) (pow i 2)))
(- (+ (* -4 (/ beta i)) (* alpha (+ (* -1 (/ alpha (pow i 2))) (* -1 (/ (+ 4 (* 2 (/ beta i))) i))))) (/ (pow beta 2) (pow i 2)))
(- (+ (* -4 (/ beta i)) (* alpha (+ (* -1 (/ alpha (pow i 2))) (* -1 (/ (+ 4 (* 2 (/ beta i))) i))))) (/ (pow beta 2) (pow i 2)))
(* -1 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (- (* -1 (/ (+ 4 (* 2 (/ beta i))) (* alpha i))) (/ 1 (pow i 2))))
(* (pow alpha 2) (- (+ (* -4 (/ beta (* (pow alpha 2) i))) (* -1 (/ (+ 4 (* 2 (/ beta i))) (* alpha i)))) (+ (/ 1 (pow i 2)) (/ (pow beta 2) (* (pow alpha 2) (pow i 2))))))
(* (pow alpha 2) (- (+ (* -4 (/ beta (* (pow alpha 2) i))) (* -1 (/ (+ 4 (* 2 (/ beta i))) (* alpha i)))) (+ (/ 1 (pow i 2)) (/ (pow beta 2) (* (pow alpha 2) (pow i 2))))))
(* -1 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (- (* -1 (/ (- (* 4 (/ 1 i)) (* -2 (/ beta (pow i 2)))) alpha)) (/ 1 (pow i 2))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* -4 (/ beta i)) (/ (pow beta 2) (pow i 2))) alpha)) (* 4 (/ 1 i))) (* -2 (/ beta (pow i 2)))) alpha)) (/ 1 (pow i 2))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* -4 (/ beta i)) (/ (pow beta 2) (pow i 2))) alpha)) (* 4 (/ 1 i))) (* -2 (/ beta (pow i 2)))) alpha)) (/ 1 (pow i 2))))
(/ (- (* -4 alpha) (/ (pow alpha 2) i)) i)
(- (+ (* -4 (/ alpha i)) (* -1 (/ (* beta (+ 4 (* 2 (/ alpha i)))) i))) (/ (pow alpha 2) (pow i 2)))
(- (+ (* -4 (/ alpha i)) (* beta (+ (* -1 (/ beta (pow i 2))) (* -1 (/ (+ 4 (* 2 (/ alpha i))) i))))) (/ (pow alpha 2) (pow i 2)))
(- (+ (* -4 (/ alpha i)) (* beta (+ (* -1 (/ beta (pow i 2))) (* -1 (/ (+ 4 (* 2 (/ alpha i))) i))))) (/ (pow alpha 2) (pow i 2)))
(* -1 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* -1 (/ (+ 4 (* 2 (/ alpha i))) (* beta i))) (/ 1 (pow i 2))))
(* (pow beta 2) (- (+ (* -4 (/ alpha (* (pow beta 2) i))) (* -1 (/ (+ 4 (* 2 (/ alpha i))) (* beta i)))) (+ (/ 1 (pow i 2)) (/ (pow alpha 2) (* (pow beta 2) (pow i 2))))))
(* (pow beta 2) (- (+ (* -4 (/ alpha (* (pow beta 2) i))) (* -1 (/ (+ 4 (* 2 (/ alpha i))) (* beta i)))) (+ (/ 1 (pow i 2)) (/ (pow alpha 2) (* (pow beta 2) (pow i 2))))))
(* -1 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 4 (/ 1 i)) (* -2 (/ alpha (pow i 2)))) beta)) (/ 1 (pow i 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* -4 (/ alpha i)) (/ (pow alpha 2) (pow i 2))) beta)) (* 4 (/ 1 i))) (* -2 (/ alpha (pow i 2)))) beta)) (/ 1 (pow i 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* -4 (/ alpha i)) (/ (pow alpha 2) (pow i 2))) beta)) (* 4 (/ 1 i))) (* -2 (/ alpha (pow i 2)))) beta)) (/ 1 (pow i 2))))
(* -1 (/ (pow (+ alpha beta) 2) (pow i 2)))
(/ (+ (* -4 (* i (+ alpha beta))) (* -1 (pow (+ alpha beta) 2))) (pow i 2))
(/ (+ (* -4 (* i (+ alpha beta))) (* -1 (pow (+ alpha beta) 2))) (pow i 2))
(/ (+ (* -4 (* i (+ alpha beta))) (* -1 (pow (+ alpha beta) 2))) (pow i 2))
(* -4 (/ (+ alpha beta) i))
(/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)
(/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)
(/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)
(* -4 (/ (+ alpha beta) i))
(* -1 (/ (+ (* 4 (+ alpha beta)) (/ (pow (+ alpha beta) 2) i)) i))
(* -1 (/ (+ (* 4 (+ alpha beta)) (/ (pow (+ alpha beta) 2) i)) i))
(* -1 (/ (+ (* 4 (+ alpha beta)) (/ (pow (+ alpha beta) 2) i)) i))
(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))))
(* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i))))
(+ (* alpha (* (pow i 2) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i))))) (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))))
(+ (* alpha (+ alpha (* (pow i 2) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))) (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))))
(+ (* alpha (+ alpha (* (pow i 2) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))))) (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ (* (pow i 2) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) alpha)))
(* (pow alpha 2) (+ 1 (+ (/ (* (pow i 2) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) alpha) (/ (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (/ (* (pow i 2) (+ (* 2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) alpha) (/ (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (* (pow i 2) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) alpha)) (* (pow i 2) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (+ 4 (/ (pow beta 2) (pow i 2))) (* -4 (/ beta i)))) alpha)) (* (pow i 2) (- (* -2 (/ beta (pow i 2))) (* 4 (/ 1 i))))) alpha))))
(* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i))))
(+ (* beta (* (pow i 2) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))))
(+ (* beta (+ beta (* (pow i 2) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))))) (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))))
(+ (* beta (+ beta (* (pow i 2) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))))) (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (/ (* (pow i 2) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))) beta)))
(* (pow beta 2) (+ 1 (+ (/ (* (pow i 2) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))) beta) (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (/ (* (pow i 2) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))) beta) (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (* (pow i 2) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) beta)) (* (pow i 2) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) beta)) (* (pow i 2) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta))))

Outputs
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 i i) (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))))
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ i alpha)
(/.f64 i alpha)
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(/ (* alpha i) (- (pow (+ alpha beta) 2) 1))
(/.f64 (*.f64 i alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(* i (+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(.f64 i (fma.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 alpha (+.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 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))
(* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(.f64 i (fma.f64 i (fma.f64 i (.f64 #s(literal -4 binary64) (+.f64 (/.f64 alpha (.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 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 alpha (+.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 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 alpha (+.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 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))
(* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(.f64 i (fma.f64 i (fma.f64 i (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 alpha (.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 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 alpha (+.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 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 alpha (+.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 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (neg.f64 i) (.f64 #s(literal -4 binary64) (+.f64 (/.f64 alpha (.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 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 alpha (+.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 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 alpha (+.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 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))
1/4
#s(literal 1/4 binary64)
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 alpha i) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 alpha beta)) i))
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/4 (/ (+ alpha beta) i)))
(+.f64 #s(literal 1/4 binary64) (+.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) alpha) i) (/.f64 (fma.f64 (+.f64 alpha beta) (.f64 #s(literal 1/4 binary64) (-.f64 alpha (+.f64 alpha beta))) (.f64 #s(literal 1/16 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))) (.f64 i i))) (/.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 alpha beta)) i)))
(- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))))) (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1)))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (pow i 2)))))
(+.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) alpha) i) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 alpha (+.f64 alpha beta))))) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (.f64 #s(literal 1/4 binary64) (-.f64 alpha (+.f64 alpha beta))) (.f64 #s(literal 1/16 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))))) (.f64 i (.f64 i i)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 i i)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal 1/4 binary64) (-.f64 alpha (+.f64 alpha beta)))) (*.f64 i i))))))
1/4
#s(literal 1/4 binary64)
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 alpha i) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 alpha beta)) i))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))) i))) i)))
(-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (-.f64 alpha (+.f64 alpha beta))) (/.f64 (fma.f64 (+.f64 alpha beta) (.f64 #s(literal -1/4 binary64) (-.f64 alpha (+.f64 alpha beta))) (*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal -1/16 binary64))) i)) i))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (+ (* -1 (/ (+ (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1))) (* (+ alpha beta) (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))))) i)) (* -1/16 (- (pow (+ alpha beta) 2) 1)))) i))) i)))
(-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (-.f64 alpha (+.f64 alpha beta))) (/.f64 (fma.f64 (+.f64 alpha beta) (.f64 #s(literal -1/4 binary64) (-.f64 alpha (+.f64 alpha beta))) (-.f64 (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (.f64 #s(literal -1/4 binary64) (-.f64 alpha (+.f64 alpha beta))) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal -1/16 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 alpha (+.f64 alpha beta)))))) i))) i)) i))
(/ (pow i 2) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))
(/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) (+.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
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(* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
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(* (pow beta 2) (+ 1 (+ (/ (* (pow i 2) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))) beta) (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (fma.f64 (.f64 i i) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 i i)) (/.f64 #s(literal 4 binary64) i)) beta) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (.f64 #s(literal 4 binary64) (/.f64 alpha i))))) (.f64 beta beta))))
(* (pow beta 2) (+ 1 (+ (/ (* (pow i 2) (+ (* 2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))) beta) (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (fma.f64 (.f64 i i) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 i i)) (/.f64 #s(literal 4 binary64) i)) beta) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (.f64 #s(literal 4 binary64) (/.f64 alpha i))))) (.f64 beta beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (* (pow i 2) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i)))) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i i) (fma.f64 #s(literal -2 binary64) (/.f64 alpha (*.f64 i i)) (/.f64 #s(literal -4 binary64) i))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) beta)) (* (pow i 2) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i i) (fma.f64 #s(literal -2 binary64) (/.f64 alpha (.f64 i i)) (/.f64 #s(literal -4 binary64) i)) (/.f64 (.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (*.f64 #s(literal 4 binary64) (/.f64 alpha i))))) (neg.f64 beta))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow i 2) (- (+ 4 (/ (pow alpha 2) (pow i 2))) (* -4 (/ alpha i)))) beta)) (* (pow i 2) (- (* -2 (/ alpha (pow i 2))) (* 4 (/ 1 i))))) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i i) (fma.f64 #s(literal -2 binary64) (/.f64 alpha (.f64 i i)) (/.f64 #s(literal -4 binary64) i)) (/.f64 (.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (*.f64 #s(literal 4 binary64) (/.f64 alpha i))))) (neg.f64 beta))) beta)))

simplify127.0ms (1.1%)

Memory

8.5MiB live, 204.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1178	14870
1	1180	14870
0	1180	14870

Stop Event

1×	saturated
1×	saturated

Counts

475 → 0

Calls

Call 1

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

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

eval122.0ms (1%)

Memory: 44.7MiB live, 191.2MiB allocated
Compiler: Compiled 31 037 to 1 139 computations (96.3% saved)

prune50.0ms (0.4%)

Memory

-7.1MiB live, 104.0MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	906	6	912
Fresh	3	14	17
Picked	2	3	5
Done	0	3	3
Total	911	26	937

Accuracy

88.7%

Counts

937 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.0%	(/.f64 (fma.f64 i (/.f64 (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64)))) beta) (.f64 i (+.f64 i alpha))) (.f64 beta beta))
	15.0%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha 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)))
	12.2%	(/.f64 (-.f64 (.f64 i i) (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta)) (*.f64 beta beta))
✓	12.2%	(/.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))))
	16.8%	(/.f64 (.f64 i (fma.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 alpha (/.f64 beta (+.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)))
	13.7%	(/.f64 (.f64 i (fma.f64 alpha (/.f64 beta (+.f64 alpha beta)) (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (+.f64 alpha beta))))))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -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)))
▶	9.9%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 alpha alpha)) #s(literal 1 binary64)))
	9.9%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 4 binary64))) #s(literal 1 binary64)))
	18.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (.f64 i i) (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 #s(literal -4 binary64) beta) (/.f64 (*.f64 beta beta) i)) i))) #s(literal 1 binary64)))
✓	15.7%	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
	17.6%	(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
	17.6%	(/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) (+.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
✓	14.9%	(/.f64 (.f64 i i) (.f64 beta beta))
▶	12.9%	(/.f64 (*.f64 i alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
	11.2%	(/.f64 (.f64 alpha i) (.f64 beta beta))
✓	29.5%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
	1.9%	(/.f64 (*.f64 #s(literal -1/2 binary64) i) beta)
	12.5%	(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))) beta))) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 #s(literal 4 binary64) (.f64 i (+.f64 alpha beta)))) #s(literal 1 binary64)))
	12.8%	(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (.f64 #s(literal 2 binary64) (.f64 i (.f64 i i))) 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)))
	12.4%	(/.f64 (neg.f64 (.f64 i (-.f64 (/.f64 (.f64 alpha alpha) beta) alpha))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
▶	1.9%	(/.f64 (neg.f64 i) beta)
✓	2.0%	(/.f64 i alpha)
▶	75.2%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
	15.6%	(.f64 i (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 i (*.f64 beta beta))))
	11.2%	(.f64 alpha (/.f64 i (.f64 beta beta)))
✓	74.7%	#s(literal 1/16 binary64)

Compiler

Compiled 1 496 to 609 computations (59.3% saved)

simplify402.0ms (3.4%)

Memory

8.3MiB live, 615.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64))))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64)))) beta)
✓	cost-diff	0	(/.f64 (fma.f64 i (/.f64 (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64)))) beta) (.f64 i (+.f64 i alpha))) (.f64 beta beta))
✓	cost-diff	512	(fma.f64 i (/.f64 (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64)))) beta) (*.f64 i (+.f64 i alpha)))
✓	cost-diff	0	(+.f64 alpha i)
✓	cost-diff	0	(*.f64 i (+.f64 alpha i))
✓	cost-diff	0	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 alpha alpha)) #s(literal 1 binary64)))
✓	cost-diff	128	(-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (.f64 alpha alpha)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 alpha beta)
✓	cost-diff	0	(fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 i alpha)
✓	cost-diff	0	(/.f64 (*.f64 i alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
✓	cost-diff	0	(neg.f64 i)
✓	cost-diff	0	(/.f64 (neg.f64 i) beta)
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	cost-diff	0	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))

Rules

17 432×	`lower-fma.f32`
17 424×	`lower-fma.f64`
3 764×	`lower-*.f32`
3 748×	`lower-*.f64`
3 346×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	222
0	66	220
1	135	220
2	339	216
3	981	216
4	2165	216
5	3456	216
6	5900	216
0	8161	212

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (0.9%)

Memory

-10.4MiB live, 196.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64))))
✓	accuracy	89.3%	(/.f64 (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64)))) beta)
✓	accuracy	75.6%	(/.f64 (fma.f64 i (/.f64 (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64)))) beta) (.f64 i (+.f64 i alpha))) (.f64 beta beta))
✓	accuracy	58.9%	(fma.f64 i (/.f64 (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64)))) beta) (*.f64 i (+.f64 i alpha)))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta)))
✓	accuracy	100.0%	(*.f64 i (+.f64 alpha i))
✓	accuracy	100.0%	(fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (.f64 alpha alpha))
✓	accuracy	44.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 alpha alpha)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(*.f64 i alpha)
✓	accuracy	92.8%	(/.f64 (*.f64 i alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 (neg.f64 i) beta)
✓	accuracy	100.0%	(neg.f64 i)
✓	accuracy	100.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	98.8%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))

Samples

66.0ms

256×

valid

Compiler

Compiled 236 to 42 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 18.0ms (39.4% of total)

ival-add: 15.0ms (32.8% of total)

ival-div: 9.0ms (19.7% of total)

ival-sub: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

series44.0ms (0.4%)

Memory

-25.5MiB live, 52.8MiB allocated

Counts

17 → 444

Calls

Call 1

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

Outputs
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (* -1 (/ i beta))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow beta 2) 1))>
#<alt (* alpha (+ (* -2 (/ (* alpha (* beta i)) (pow (- (pow beta 2) 1) 2))) (/ i (- (pow beta 2) 1))))>
#<alt (* alpha (+ (* alpha (- (* -1 (* alpha (+ (* -4 (/ (* (pow beta 2) i) (pow (- (pow beta 2) 1) 3))) (/ i (pow (- (pow beta 2) 1) 2))))) (* 2 (/ (* beta i) (pow (- (pow beta 2) 1) 2))))) (/ i (- (pow beta 2) 1))))>
#<alt (* alpha (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* beta i) (pow (- (pow beta 2) 1) 3))) (* -2 (/ (* beta (+ (* -4 (/ (* (pow beta 2) i) (pow (- (pow beta 2) 1) 3))) (/ i (pow (- (pow beta 2) 1) 2)))) (- (pow beta 2) 1)))))) (+ (* -4 (/ (* (pow beta 2) i) (pow (- (pow beta 2) 1) 3))) (/ i (pow (- (pow beta 2) 1) 2))))) (* 2 (/ (* beta i) (pow (- (pow beta 2) 1) 2))))) (/ i (- (pow beta 2) 1))))>
#<alt (/ i alpha)>
#<alt (/ (+ i (* -2 (/ (* beta i) alpha))) alpha)>
#<alt (/ (- (+ i (* -1 (/ (+ (* -4 (* (pow beta 2) i)) (* i (- (pow beta 2) 1))) (pow alpha 2)))) (* 2 (/ (* beta i) alpha))) alpha)>
#<alt (/ (- (+ i (* -1 (/ (+ (* -2 (* beta (* i (- (pow beta 2) 1)))) (* -2 (* beta (+ (* -4 (* (pow beta 2) i)) (* i (- (pow beta 2) 1)))))) (pow alpha 3)))) (+ (* -4 (/ (* (pow beta 2) i) (pow alpha 2))) (+ (* 2 (/ (* beta i) alpha)) (/ (* i (- (pow beta 2) 1)) (pow alpha 2))))) alpha)>
#<alt (/ i alpha)>
#<alt (* -1 (/ (+ (* -1 i) (* 2 (/ (* beta i) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -2 (* beta i)) (* -1 (/ (+ (* -4 (* (pow beta 2) i)) (* i (- (pow beta 2) 1))) alpha))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -2 (* beta i)) (* -1 (/ (+ (* -4 (* (pow beta 2) i)) (+ (* -1 (/ (+ (* 2 (* beta (* i (- (pow beta 2) 1)))) (* 2 (* beta (+ (* -4 (* (pow beta 2) i)) (* i (- (pow beta 2) 1)))))) alpha)) (* i (- (pow beta 2) 1)))) alpha))) alpha))) alpha))>
#<alt (/ (* alpha i) (- (pow alpha 2) 1))>
#<alt (+ (* -2 (/ (* (pow alpha 2) (* beta i)) (pow (- (pow alpha 2) 1) 2))) (/ (* alpha i) (- (pow alpha 2) 1)))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -4 (/ (* (pow alpha 3) i) (pow (- (pow alpha 2) 1) 3))) (/ (* alpha i) (pow (- (pow alpha 2) 1) 2))))) (* 2 (/ (* (pow alpha 2) i) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha i) (- (pow alpha 2) 1)))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* alpha (+ (* -4 (/ (* (pow alpha 3) i) (pow (- (pow alpha 2) 1) 3))) (/ (* alpha i) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1))) (* -2 (/ (* (pow alpha 2) i) (pow (- (pow alpha 2) 1) 3)))))) (+ (* -4 (/ (* (pow alpha 3) i) (pow (- (pow alpha 2) 1) 3))) (/ (* alpha i) (pow (- (pow alpha 2) 1) 2))))) (* 2 (/ (* (pow alpha 2) i) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha i) (- (pow alpha 2) 1)))>
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (/ (+ (* -2 (/ (* (pow alpha 2) i) beta)) (* alpha i)) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (* (pow alpha 3) i)) (* alpha (* i (- (pow alpha 2) 1)))) (pow beta 2))) (* alpha i)) (* 2 (/ (* (pow alpha 2) i) beta))) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* alpha (+ (* -4 (* (pow alpha 3) i)) (* alpha (* i (- (pow alpha 2) 1)))))) (* -2 (* (pow alpha 2) (* i (- (pow alpha 2) 1))))) (pow beta 3))) (* alpha i)) (+ (* -4 (/ (* (pow alpha 3) i) (pow beta 2))) (+ (* 2 (/ (* (pow alpha 2) i) beta)) (/ (* alpha (* i (- (pow alpha 2) 1))) (pow beta 2))))) (pow beta 2))>
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (/ (+ (* -2 (/ (* (pow alpha 2) i) beta)) (* alpha i)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 3) i) beta)) (/ (* alpha (* i (- (pow alpha 2) 1))) beta)) (* -2 (* (pow alpha 2) i))) beta)) (* alpha i)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* alpha (+ (* -4 (* (pow alpha 3) i)) (* alpha (* i (- (pow alpha 2) 1))))) beta)) (* 2 (/ (* (pow alpha 2) (* i (- (pow alpha 2) 1))) beta))) (+ (* -4 (* (pow alpha 3) i)) (* alpha (* i (- (pow alpha 2) 1))))) beta)) (* -2 (* (pow alpha 2) i))) beta)) (* alpha i)) (pow beta 2))>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (- (pow beta 2) 1)>
#<alt (- (+ (* 2 (* alpha beta)) (pow beta 2)) 1)>
#<alt (- (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2)) 1)>
#<alt (- (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2)) 1)>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (/ 1 (pow alpha 2))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (- (pow beta 2) 1) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (- (pow beta 2) 1) alpha))) alpha))))>
#<alt (- (pow alpha 2) 1)>
#<alt (- (+ (* 2 (* alpha beta)) (pow alpha 2)) 1)>
#<alt (- (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2)) 1)>
#<alt (- (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2)) 1)>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (/ 1 (pow beta 2))))>
#<alt (* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (/ 1 (pow beta 2))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (pow alpha 2) 1) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (pow alpha 2) 1) beta))) beta))))>
#<alt (/ (* alpha i) (- (pow alpha 2) 1))>
#<alt (* i (+ (* i (- (/ 1 (- (pow alpha 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow alpha 2) 1) 2))))) (/ alpha (- (pow alpha 2) 1))))>
#<alt (* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (pow (- (pow alpha 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow alpha 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)))))) (/ 1 (- (pow alpha 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow alpha 2) 1) 2))))) (/ alpha (- (pow alpha 2) 1))))>
#<alt (* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow alpha 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow alpha 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1))))) (- (pow alpha 2) 1))) (* 4 (/ (- (/ 1 (- (pow alpha 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow alpha 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow alpha 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)))))) (/ 1 (- (pow alpha 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow alpha 2) 1) 2))))) (/ alpha (- (pow alpha 2) 1))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (- (pow alpha 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/4 (/ (+ alpha beta) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* 1/16 (- (pow alpha 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))))) (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow alpha 2) 1)))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (- (pow alpha 2) 1) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (pow i 2)))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow alpha 2) 1))) i))) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (+ (* -1 (/ (+ (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow alpha 2) 1))) (* (+ alpha beta) (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow alpha 2) 1))))) i)) (* -1/16 (- (pow alpha 2) 1)))) i))) i)))>
#<alt (/ (pow i 2) (- (* 4 (* i (+ beta i))) 1))>
#<alt (+ (* alpha (- (/ i (- (* 4 (* i (+ beta i))) 1)) (* 4 (/ (pow i 3) (pow (- (* 4 (* i (+ beta i))) 1) 2))))) (/ (pow i 2) (- (* 4 (* i (+ beta i))) 1)))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ (* i (- (/ i (- (* 4 (* i (+ beta i))) 1)) (* 4 (/ (pow i 3) (pow (- (* 4 (* i (+ beta i))) 1) 2))))) (- (* 4 (* i (+ beta i))) 1))) (/ (pow i 2) (pow (- (* 4 (* i (+ beta i))) 1) 2))))) (/ i (- (* 4 (* i (+ beta i))) 1))) (* 4 (/ (pow i 3) (pow (- (* 4 (* i (+ beta i))) 1) 2))))) (/ (pow i 2) (- (* 4 (* i (+ beta i))) 1)))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (* 4 (/ (pow i 3) (pow (- (* 4 (* i (+ beta i))) 1) 3))) (+ (* -4 (/ (* i (+ (* 4 (/ (* i (- (/ i (- (* 4 (* i (+ beta i))) 1)) (* 4 (/ (pow i 3) (pow (- (* 4 (* i (+ beta i))) 1) 2))))) (- (* 4 (* i (+ beta i))) 1))) (/ (pow i 2) (pow (- (* 4 (* i (+ beta i))) 1) 2)))) (- (* 4 (* i (+ beta i))) 1))) (/ i (pow (- (* 4 (* i (+ beta i))) 1) 2))))) (+ (* 4 (/ (* i (- (/ i (- (* 4 (* i (+ beta i))) 1)) (* 4 (/ (pow i 3) (pow (- (* 4 (* i (+ beta i))) 1) 2))))) (- (* 4 (* i (+ beta i))) 1))) (/ (pow i 2) (pow (- (* 4 (* i (+ beta i))) 1) 2))))) (/ i (- (* 4 (* i (+ beta i))) 1))) (* 4 (/ (pow i 3) (pow (- (* 4 (* i (+ beta i))) 1) 2))))) (/ (pow i 2) (- (* 4 (* i (+ beta i))) 1)))>
#<alt (/ i alpha)>
#<alt (/ (- (+ i (/ (pow i 2) alpha)) (* 4 (/ (pow i 2) alpha))) alpha)>
#<alt (/ (- (+ i (+ (* -1 (/ (+ (* 4 (* i (- (pow i 2) (* 4 (pow i 2))))) (* i (- (* 4 (* i (+ beta i))) 1))) (pow alpha 2))) (/ (pow i 2) alpha))) (* 4 (/ (pow i 2) alpha))) alpha)>
#<alt (/ (- (+ i (+ (* -1 (/ (+ (* -4 (* i (+ (* 4 (* i (- (pow i 2) (* 4 (pow i 2))))) (* i (- (* 4 (* i (+ beta i))) 1))))) (* (- (* 4 (* i (+ beta i))) 1) (- (pow i 2) (* 4 (pow i 2))))) (pow alpha 3))) (/ (pow i 2) alpha))) (+ (* 4 (/ (* i (- (pow i 2) (* 4 (pow i 2)))) (pow alpha 2))) (+ (* 4 (/ (pow i 2) alpha)) (/ (* i (- (* 4 (* i (+ beta i))) 1)) (pow alpha 2))))) alpha)>
#<alt (/ i alpha)>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (pow i 2) (* 4 (pow i 2))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -4 (/ (* i (- (pow i 2) (* 4 (pow i 2)))) alpha)) (+ (* -1 (/ (* i (- (* 4 (* i (+ beta i))) 1)) alpha)) (pow i 2))) (* 4 (pow i 2))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ (* i (+ (* -4 (* i (- (pow i 2) (* 4 (pow i 2))))) (* -1 (* i (- (* 4 (* i (+ beta i))) 1))))) alpha)) (/ (* (- (* 4 (* i (+ beta i))) 1) (- (pow i 2) (* 4 (pow i 2)))) alpha)) (+ (* -4 (* i (- (pow i 2) (* 4 (pow i 2))))) (* -1 (* i (- (* 4 (* i (+ beta i))) 1))))) alpha)) (pow i 2)) (* 4 (pow i 2))) alpha))) alpha))>
#<alt (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))>
#<alt (+ (* -4 (/ (* beta (* (pow i 2) (+ alpha i))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))) (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))>
#<alt (+ (* beta (- (* 16 (/ (* beta (* (pow i 3) (+ alpha i))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))) (* 4 (/ (* (pow i 2) (+ alpha i)) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))))) (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))>
#<alt (+ (* beta (- (* beta (- (* -64 (/ (* beta (* (pow i 4) (+ alpha i))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 4))) (* -16 (/ (* (pow i 3) (+ alpha i)) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))))) (* 4 (/ (* (pow i 2) (+ alpha i)) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))))) (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))>
#<alt (* 1/4 (/ (+ alpha i) beta))>
#<alt (/ (+ (* -1/16 (/ (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)) (* beta i))) (* 1/4 (+ alpha i))) beta)>
#<alt (/ (- (+ (* 1/64 (/ (* (+ alpha i) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2)) (* (pow beta 2) (pow i 2)))) (* 1/4 (+ alpha i))) (* 1/16 (/ (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)) (* beta i)))) beta)>
#<alt (/ (- (+ (* -1/256 (/ (* (+ alpha i) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3)) (* (pow beta 3) (pow i 3)))) (* 1/4 (+ alpha i))) (+ (* -1/64 (/ (* (+ alpha i) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2)) (* (pow beta 2) (pow i 2)))) (* 1/16 (/ (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)) (* beta i))))) beta)>
#<alt (* 1/4 (/ (+ alpha i) beta))>
#<alt (* -1 (/ (+ (* -1/4 (+ alpha i)) (* 1/16 (/ (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)) (* beta i)))) beta))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (* (+ alpha i) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2)) (* beta (pow i 2)))) (* 1/16 (/ (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)) i))) beta)) (* -1/4 (+ alpha i))) beta))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* (+ alpha i) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3)) (* beta (pow i 3)))) (* 1/64 (/ (* (+ alpha i) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2)) (pow i 2)))) beta)) (* 1/16 (/ (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)) i))) beta)) (* -1/4 (+ alpha i))) beta))>
#<alt (pow alpha 2)>
#<alt (+ (* 4 (* i (+ alpha beta))) (pow alpha 2))>
#<alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow alpha 2))>
#<alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow alpha 2))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow alpha 2) (pow i 2)))))>
#<alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow alpha 2) (pow i 2)))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow alpha 2) i))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow alpha 2) i))) i))))>
#<alt (* 4 (* i (+ beta i)))>
#<alt (+ (* 4 (* alpha i)) (* 4 (* i (+ beta i))))>
#<alt (+ (* 4 (* i (+ beta i))) (* alpha (+ alpha (* 4 i))))>
#<alt (+ (* 4 (* i (+ beta i))) (* alpha (+ alpha (* 4 i))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ i alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ i alpha)) (* 4 (/ (* i (+ beta i)) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ i alpha)) (* 4 (/ (* i (+ beta i)) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ i alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -4 (/ (* i (+ beta i)) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -4 (/ (* i (+ beta i)) alpha))) alpha))))>
#<alt (+ (* 4 (* i (+ alpha i))) (pow alpha 2))>
#<alt (+ (* 4 (* beta i)) (+ (* 4 (* i (+ alpha i))) (pow alpha 2)))>
#<alt (+ (* 4 (* beta i)) (+ (* 4 (* i (+ alpha i))) (pow alpha 2)))>
#<alt (+ (* 4 (* beta i)) (+ (* 4 (* i (+ alpha i))) (pow alpha 2)))>
#<alt (* 4 (* beta i))>
#<alt (* beta (+ (* 4 i) (+ (* 4 (/ (* i (+ alpha i)) beta)) (/ (pow alpha 2) beta))))>
#<alt (* beta (+ (* 4 i) (+ (* 4 (/ (* i (+ alpha i)) beta)) (/ (pow alpha 2) beta))))>
#<alt (* beta (+ (* 4 i) (+ (* 4 (/ (* i (+ alpha i)) beta)) (/ (pow alpha 2) beta))))>
#<alt (* 4 (* beta i))>
#<alt (* -1 (* beta (+ (* -4 i) (* -1 (/ (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) beta)))))>
#<alt (* -1 (* beta (+ (* -4 i) (* -1 (/ (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) beta)))))>
#<alt (* -1 (* beta (+ (* -4 i) (* -1 (/ (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) beta)))))>
#<alt (* alpha i)>
#<alt (* i (+ alpha i))>
#<alt (* i (+ alpha i))>
#<alt (* i (+ alpha i))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (pow i 2)>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (* alpha i)>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha i)>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (* 4 (+ alpha beta))>
#<alt (+ (* 4 i) (* 4 (+ alpha beta)))>
#<alt (+ (* 4 i) (* 4 (+ alpha beta)))>
#<alt (+ (* 4 i) (* 4 (+ alpha beta)))>
#<alt (* 4 i)>
#<alt (* i (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* i (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* i (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* 4 i)>
#<alt (* -1 (* i (- (* -4 (/ (+ alpha beta) i)) 4)))>
#<alt (* -1 (* i (- (* -4 (/ (+ alpha beta) i)) 4)))>
#<alt (* -1 (* i (- (* -4 (/ (+ alpha beta) i)) 4)))>
#<alt (* 4 (+ beta i))>
#<alt (+ (* 4 alpha) (* 4 (+ beta i)))>
#<alt (+ (* 4 alpha) (* 4 (+ beta i)))>
#<alt (+ (* 4 alpha) (* 4 (+ beta i)))>
#<alt (* 4 alpha)>
#<alt (* alpha (+ 4 (* 4 (/ (+ beta i) alpha))))>
#<alt (* alpha (+ 4 (* 4 (/ (+ beta i) alpha))))>
#<alt (* alpha (+ 4 (* 4 (/ (+ beta i) alpha))))>
#<alt (* 4 alpha)>
#<alt (* -1 (* alpha (- (* -4 (/ (+ beta i) alpha)) 4)))>
#<alt (* -1 (* alpha (- (* -4 (/ (+ beta i) alpha)) 4)))>
#<alt (* -1 (* alpha (- (* -4 (/ (+ beta i) alpha)) 4)))>
#<alt (* 4 (+ alpha i))>
#<alt (+ (* 4 beta) (* 4 (+ alpha i)))>
#<alt (+ (* 4 beta) (* 4 (+ alpha i)))>
#<alt (+ (* 4 beta) (* 4 (+ alpha i)))>
#<alt (* 4 beta)>
#<alt (* beta (+ 4 (* 4 (/ (+ alpha i) beta))))>
#<alt (* beta (+ 4 (* 4 (/ (+ alpha i) beta))))>
#<alt (* beta (+ 4 (* 4 (/ (+ alpha i) beta))))>
#<alt (* 4 beta)>
#<alt (* -1 (* beta (- (* -4 (/ (+ alpha i) beta)) 4)))>
#<alt (* -1 (* beta (- (* -4 (/ (+ alpha i) beta)) 4)))>
#<alt (* -1 (* beta (- (* -4 (/ (+ alpha i) beta)) 4)))>
#<alt (* i (+ alpha (* -2 (/ (pow alpha 2) beta))))>
#<alt (* i (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (* i (+ 1 (+ (* -4 (/ alpha beta)) (* -2 (/ alpha beta))))))))>
#<alt (* i (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (* i (+ 1 (+ (* -4 (/ alpha beta)) (+ (* -4 (/ i beta)) (* -2 (/ alpha beta)))))))))>
#<alt (* i (+ alpha (+ (* -2 (/ (pow alpha 2) beta)) (* i (+ 1 (+ (* -4 (/ alpha beta)) (+ (* -4 (/ i beta)) (* -2 (/ alpha beta)))))))))>
#<alt (* -4 (/ (pow i 3) beta))>
#<alt (* (pow i 3) (- (+ (* -4 (/ alpha (* beta i))) (+ (* -2 (/ alpha (* beta i))) (/ 1 i))) (* 4 (/ 1 beta))))>
#<alt (* (pow i 3) (- (+ (* -4 (/ alpha (* beta i))) (+ (* -2 (/ alpha (* beta i))) (+ (* -2 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (/ 1 i) (/ alpha (pow i 2)))))) (* 4 (/ 1 beta))))>
#<alt (* (pow i 3) (- (+ (* -4 (/ alpha (* beta i))) (+ (* -2 (/ alpha (* beta i))) (+ (* -2 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (/ 1 i) (/ alpha (pow i 2)))))) (* 4 (/ 1 beta))))>
#<alt (* -4 (/ (pow i 3) beta))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (* -1 (+ (* 2 (/ alpha beta)) (* 4 (/ alpha beta))))) i)) (* 4 (/ 1 beta)))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (* 2 (/ alpha beta)) (* 4 (/ alpha beta)))) (* -1 (/ (+ (* -1 alpha) (* 2 (/ (pow alpha 2) beta))) i)))) i)) (* 4 (/ 1 beta)))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (* 2 (/ alpha beta)) (* 4 (/ alpha beta)))) (* -1 (/ (+ (* -1 alpha) (* 2 (/ (pow alpha 2) beta))) i)))) i)) (* 4 (/ 1 beta)))))>
#<alt (+ (* -4 (/ (pow i 3) beta)) (pow i 2))>
#<alt (+ (* -4 (/ (pow i 3) beta)) (+ (* alpha (+ i (/ (* i (+ (* -4 i) (* -2 i))) beta))) (pow i 2)))>
#<alt (+ (* -4 (/ (pow i 3) beta)) (+ (* alpha (+ i (+ (* -2 (/ (* alpha i) beta)) (/ (* i (+ (* -4 i) (* -2 i))) beta)))) (pow i 2)))>
#<alt (+ (* -4 (/ (pow i 3) beta)) (+ (* alpha (+ i (+ (* -2 (/ (* alpha i) beta)) (/ (* i (+ (* -4 i) (* -2 i))) beta)))) (pow i 2)))>
#<alt (* -2 (/ (* (pow alpha 2) i) beta))>
#<alt (* (pow alpha 2) (+ (* -2 (/ i beta)) (+ (/ i alpha) (/ (* i (+ (* -4 i) (* -2 i))) (* alpha beta)))))>
#<alt (* (pow alpha 2) (+ (* -4 (/ (pow i 3) (* (pow alpha 2) beta))) (+ (* -2 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (+ (* -4 i) (* -2 i))) (* alpha beta)) (/ (pow i 2) (pow alpha 2)))))))>
#<alt (* (pow alpha 2) (+ (* -4 (/ (pow i 3) (* (pow alpha 2) beta))) (+ (* -2 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (+ (* -4 i) (* -2 i))) (* alpha beta)) (/ (pow i 2) (pow alpha 2)))))))>
#<alt (* -2 (/ (* (pow alpha 2) i) beta))>
#<alt (* (pow alpha 2) (+ (* -2 (/ i beta)) (* -1 (/ (+ (* -1 i) (/ (* i (+ (* 2 i) (* 4 i))) beta)) alpha))))>
#<alt (* (pow alpha 2) (+ (* -2 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) alpha)) (/ (* i (+ (* 2 i) (* 4 i))) beta))) alpha))))>
#<alt (* (pow alpha 2) (+ (* -2 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) alpha)) (/ (* i (+ (* 2 i) (* 4 i))) beta))) alpha))))>
#<alt (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta)>
#<alt (/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) beta)>
#<alt (/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) beta)>
#<alt (/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) beta)>
#<alt (* i (+ alpha i))>
#<alt (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta))>
#<alt (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta))>
#<alt (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta))>
#<alt (* i (+ alpha i))>
#<alt (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta))>
#<alt (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta))>
#<alt (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta))>
#<alt (/ (* i (+ alpha (* -2 (/ (pow alpha 2) beta)))) (pow beta 2))>
#<alt (* i (+ (* -2 (/ (pow alpha 2) (pow beta 3))) (+ (* i (+ (* -4 (/ alpha (pow beta 3))) (+ (* -2 (/ alpha (pow beta 3))) (/ 1 (pow beta 2))))) (/ alpha (pow beta 2)))))>
#<alt (* i (+ (* -2 (/ (pow alpha 2) (pow beta 3))) (+ (* i (+ (* -4 (/ alpha (pow beta 3))) (+ (* -4 (/ i (pow beta 3))) (+ (* -2 (/ alpha (pow beta 3))) (/ 1 (pow beta 2)))))) (/ alpha (pow beta 2)))))>
#<alt (* i (+ (* -2 (/ (pow alpha 2) (pow beta 3))) (+ (* i (+ (* -4 (/ alpha (pow beta 3))) (+ (* -4 (/ i (pow beta 3))) (+ (* -2 (/ alpha (pow beta 3))) (/ 1 (pow beta 2)))))) (/ alpha (pow beta 2)))))>
#<alt (* -4 (/ (pow i 3) (pow beta 3)))>
#<alt (* (pow i 3) (- (+ (* -4 (/ alpha (* (pow beta 3) i))) (+ (* -2 (/ alpha (* (pow beta 3) i))) (/ 1 (* (pow beta 2) i)))) (* 4 (/ 1 (pow beta 3)))))>
#<alt (* (pow i 3) (- (+ (* -4 (/ alpha (* (pow beta 3) i))) (+ (* -2 (/ alpha (* (pow beta 3) i))) (+ (* -2 (/ (pow alpha 2) (* (pow beta 3) (pow i 2)))) (+ (/ 1 (* (pow beta 2) i)) (/ alpha (* (pow beta 2) (pow i 2))))))) (* 4 (/ 1 (pow beta 3)))))>
#<alt (* (pow i 3) (- (+ (* -4 (/ alpha (* (pow beta 3) i))) (+ (* -2 (/ alpha (* (pow beta 3) i))) (+ (* -2 (/ (pow alpha 2) (* (pow beta 3) (pow i 2)))) (+ (/ 1 (* (pow beta 2) i)) (/ alpha (* (pow beta 2) (pow i 2))))))) (* 4 (/ 1 (pow beta 3)))))>
#<alt (* -4 (/ (pow i 3) (pow beta 3)))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ alpha beta)) (* 4 (/ alpha beta))) (pow beta 2))) (/ 1 (pow beta 2))) i)) (* 4 (/ 1 (pow beta 3))))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* 2 (/ (pow alpha 2) (pow beta 3)))) i)) (+ (* -1 (/ (+ (* 2 (/ alpha beta)) (* 4 (/ alpha beta))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 4 (/ 1 (pow beta 3))))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* 2 (/ (pow alpha 2) (pow beta 3)))) i)) (+ (* -1 (/ (+ (* 2 (/ alpha beta)) (* 4 (/ alpha beta))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 4 (/ 1 (pow beta 3))))))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (+ (* -4 (/ (pow i 3) (pow beta 3))) (+ (* alpha (+ (/ i (pow beta 2)) (/ (* i (+ (* -4 i) (* -2 i))) (pow beta 3)))) (/ (pow i 2) (pow beta 2))))>
#<alt (+ (* -4 (/ (pow i 3) (pow beta 3))) (+ (* alpha (+ (* -2 (/ (* alpha i) (pow beta 3))) (+ (/ i (pow beta 2)) (/ (* i (+ (* -4 i) (* -2 i))) (pow beta 3))))) (/ (pow i 2) (pow beta 2))))>
#<alt (+ (* -4 (/ (pow i 3) (pow beta 3))) (+ (* alpha (+ (* -2 (/ (* alpha i) (pow beta 3))) (+ (/ i (pow beta 2)) (/ (* i (+ (* -4 i) (* -2 i))) (pow beta 3))))) (/ (pow i 2) (pow beta 2))))>
#<alt (* -2 (/ (* (pow alpha 2) i) (pow beta 3)))>
#<alt (* (pow alpha 2) (+ (* -2 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (/ (* i (+ (* -4 i) (* -2 i))) (* alpha (pow beta 3))))))>
#<alt (* (pow alpha 2) (+ (* -4 (/ (pow i 3) (* (pow alpha 2) (pow beta 3)))) (+ (* -2 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (+ (* -4 i) (* -2 i))) (* alpha (pow beta 3))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))>
#<alt (* (pow alpha 2) (+ (* -4 (/ (pow i 3) (* (pow alpha 2) (pow beta 3)))) (+ (* -2 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (+ (* -4 i) (* -2 i))) (* alpha (pow beta 3))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))>
#<alt (* -2 (/ (* (pow alpha 2) i) (pow beta 3)))>
#<alt (* (pow alpha 2) (+ (* -2 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (/ (* i (+ (* 2 i) (* 4 i))) (pow beta 3))) alpha))))>
#<alt (* (pow alpha 2) (+ (* -2 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (+ (* -1 (/ (+ (* -4 (/ (pow i 3) (pow beta 3))) (/ (pow i 2) (pow beta 2))) alpha)) (/ (* i (+ (* 2 i) (* 4 i))) (pow beta 3)))) alpha))))>
#<alt (* (pow alpha 2) (+ (* -2 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (+ (* -1 (/ (+ (* -4 (/ (pow i 3) (pow beta 3))) (/ (pow i 2) (pow beta 2))) alpha)) (/ (* i (+ (* 2 i) (* 4 i))) (pow beta 3)))) alpha))))>
#<alt (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) (pow beta 3))>
#<alt (/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) (pow beta 3))>
#<alt (/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) (pow beta 3))>
#<alt (/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) (pow beta 3))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta)) (pow beta 2))>
#<alt (* -2 (/ (pow alpha 2) beta))>
#<alt (+ (* -2 (/ (pow alpha 2) beta)) (* i (+ (* -4 (/ alpha beta)) (* -2 (/ alpha beta)))))>
#<alt (+ (* -2 (/ (pow alpha 2) beta)) (* i (+ (* -4 (/ alpha beta)) (+ (* -4 (/ i beta)) (* -2 (/ alpha beta))))))>
#<alt (+ (* -2 (/ (pow alpha 2) beta)) (* i (+ (* -4 (/ alpha beta)) (+ (* -4 (/ i beta)) (* -2 (/ alpha beta))))))>
#<alt (* -4 (/ (pow i 2) beta))>
#<alt (* (pow i 2) (- (+ (* -4 (/ alpha (* beta i))) (* -2 (/ alpha (* beta i)))) (* 4 (/ 1 beta))))>
#<alt (* (pow i 2) (- (+ (* -4 (/ alpha (* beta i))) (+ (* -2 (/ alpha (* beta i))) (* -2 (/ (pow alpha 2) (* beta (pow i 2)))))) (* 4 (/ 1 beta))))>
#<alt (* (pow i 2) (- (+ (* -4 (/ alpha (* beta i))) (+ (* -2 (/ alpha (* beta i))) (* -2 (/ (pow alpha 2) (* beta (pow i 2)))))) (* 4 (/ 1 beta))))>
#<alt (* -4 (/ (pow i 2) beta))>
#<alt (* (pow i 2) (- (* -1 (/ (+ (* 2 (/ alpha beta)) (* 4 (/ alpha beta))) i)) (* 4 (/ 1 beta))))>
#<alt (* (pow i 2) (- (* -1 (/ (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (* beta i))) (* 4 (/ alpha beta)))) i)) (* 4 (/ 1 beta))))>
#<alt (* (pow i 2) (- (* -1 (/ (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (* beta i))) (* 4 (/ alpha beta)))) i)) (* 4 (/ 1 beta))))>
#<alt (* -4 (/ (pow i 2) beta))>
#<alt (+ (* -4 (/ (pow i 2) beta)) (* alpha (+ (* -4 (/ i beta)) (* -2 (/ i beta)))))>
#<alt (+ (* -4 (/ (pow i 2) beta)) (* alpha (+ (* -4 (/ i beta)) (+ (* -2 (/ alpha beta)) (* -2 (/ i beta))))))>
#<alt (+ (* -4 (/ (pow i 2) beta)) (* alpha (+ (* -4 (/ i beta)) (+ (* -2 (/ alpha beta)) (* -2 (/ i beta))))))>
#<alt (* -2 (/ (pow alpha 2) beta))>
#<alt (* (pow alpha 2) (- (+ (* -4 (/ i (* alpha beta))) (* -2 (/ i (* alpha beta)))) (* 2 (/ 1 beta))))>
#<alt (* (pow alpha 2) (- (+ (* -4 (/ i (* alpha beta))) (+ (* -4 (/ (pow i 2) (* (pow alpha 2) beta))) (* -2 (/ i (* alpha beta))))) (* 2 (/ 1 beta))))>
#<alt (* (pow alpha 2) (- (+ (* -4 (/ i (* alpha beta))) (+ (* -4 (/ (pow i 2) (* (pow alpha 2) beta))) (* -2 (/ i (* alpha beta))))) (* 2 (/ 1 beta))))>
#<alt (* -2 (/ (pow alpha 2) beta))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ i beta)) (* 4 (/ i beta))) alpha)) (* 2 (/ 1 beta))))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (* 4 (/ (pow i 2) (* alpha beta))))) alpha)) (* 2 (/ 1 beta))))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ i beta)) (+ (* 4 (/ i beta)) (* 4 (/ (pow i 2) (* alpha beta))))) alpha)) (* 2 (/ 1 beta))))>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (/ (* (+ alpha i) (+ (* -4 i) (* -2 alpha))) beta)>
#<alt (* -2 (pow alpha 2))>
#<alt (+ (* -2 (pow alpha 2)) (* i (+ (* -4 alpha) (* -2 alpha))))>
#<alt (+ (* -2 (pow alpha 2)) (* i (+ (* -4 alpha) (+ (* -4 i) (* -2 alpha)))))>
#<alt (+ (* -2 (pow alpha 2)) (* i (+ (* -4 alpha) (+ (* -4 i) (* -2 alpha)))))>
#<alt (* -4 (pow i 2))>
#<alt (* (pow i 2) (- (+ (* -4 (/ alpha i)) (* -2 (/ alpha i))) 4))>
#<alt (* (pow i 2) (- (+ (* -4 (/ alpha i)) (+ (* -2 (/ alpha i)) (* -2 (/ (pow alpha 2) (pow i 2))))) 4))>
#<alt (* (pow i 2) (- (+ (* -4 (/ alpha i)) (+ (* -2 (/ alpha i)) (* -2 (/ (pow alpha 2) (pow i 2))))) 4))>
#<alt (* -4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (/ (+ (* 2 alpha) (* 4 alpha)) i)) 4))>
#<alt (* (pow i 2) (- (* -1 (/ (+ (* 2 alpha) (+ (* 2 (/ (pow alpha 2) i)) (* 4 alpha))) i)) 4))>
#<alt (* (pow i 2) (- (* -1 (/ (+ (* 2 alpha) (+ (* 2 (/ (pow alpha 2) i)) (* 4 alpha))) i)) 4))>
#<alt (* -4 (pow i 2))>
#<alt (+ (* -4 (pow i 2)) (* alpha (+ (* -4 i) (* -2 i))))>
#<alt (+ (* -4 (pow i 2)) (* alpha (+ (* -4 i) (+ (* -2 alpha) (* -2 i)))))>
#<alt (+ (* -4 (pow i 2)) (* alpha (+ (* -4 i) (+ (* -2 alpha) (* -2 i)))))>
#<alt (* -2 (pow alpha 2))>
#<alt (* (pow alpha 2) (- (+ (* -4 (/ i alpha)) (* -2 (/ i alpha))) 2))>
#<alt (* (pow alpha 2) (- (+ (* -4 (/ i alpha)) (+ (* -4 (/ (pow i 2) (pow alpha 2))) (* -2 (/ i alpha)))) 2))>
#<alt (* (pow alpha 2) (- (+ (* -4 (/ i alpha)) (+ (* -4 (/ (pow i 2) (pow alpha 2))) (* -2 (/ i alpha)))) 2))>
#<alt (* -2 (pow alpha 2))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ (* 2 i) (* 4 i)) alpha)) 2))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ (* 2 i) (+ (* 4 i) (* 4 (/ (pow i 2) alpha)))) alpha)) 2))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ (* 2 i) (+ (* 4 i) (* 4 (/ (pow i 2) alpha)))) alpha)) 2))>

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	0	(/ (neg i) beta)
1.0ms	alpha	@	0	(/ (* i (+ alpha i)) (- (+ (* i (* 4 (+ i (+ alpha beta)))) (* alpha alpha)) 1))
1.0ms	i	@	0	(/ (* i (+ alpha i)) (- (+ (* i (* 4 (+ i (+ alpha beta)))) (* alpha alpha)) 1))
1.0ms	beta	@	inf	(/ (* i (+ alpha i)) (- (+ (* i (* 4 (+ i (+ alpha beta)))) (* alpha alpha)) 1))
1.0ms	beta	@	0	(/ (* i alpha) (+ (* (+ alpha beta) (+ alpha beta)) -1))

rewrite373.0ms (3.1%)

Memory

47.3MiB live, 551.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 704×	`lower-*.f32`
5 688×	`lower-*.f64`
4 030×	`lower-fma.f32`
4 022×	`lower-fma.f64`
3 564×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	155
0	66	151
1	294	151
2	2590	151
0	8055	147

Stop Event

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

Counts

17 → 692

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal 1/64 binary64) (neg.f64 (neg.f64 (*.f64 i i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 1/64 binary64) i)))
(/.f64 #s(literal -1/64 binary64) (neg.f64 (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i)) #s(literal -1 binary64))
(.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 i i))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(*.f64 i i)
(*.f64 (neg.f64 i) (neg.f64 i))
(.f64 #s(literal 1 binary64) (.f64 i i))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 i) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 i i))) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/16 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))))))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
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(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 alpha i) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 alpha i) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))) (-.f64 alpha i) (.f64 (-.f64 alpha i) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))) (-.f64 i alpha) (.f64 (-.f64 alpha i) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 i alpha) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 i alpha) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (-.f64 alpha i) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (-.f64 i alpha) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (-.f64 alpha i) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 alpha i) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 alpha i) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (-.f64 alpha i) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (-.f64 alpha i) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 alpha i) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 alpha i) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 alpha i) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 alpha i) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 i alpha) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 i alpha) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (-.f64 i alpha) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64))))
(.f64 (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64))) (+.f64 i alpha))

simplify684.0ms (5.7%)

Memory

-29.2MiB live, 649.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 932×	`lower-fma.f64`
8 932×	`lower-fma.f32`
6 128×	`lower-+.f64`
6 128×	`lower-+.f32`
6 096×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1015	7763
1	3300	7372
0	8045	6862

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 438

Calls

Call 1

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

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

simplify316.0ms (2.6%)

Memory

22.7MiB live, 300.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1697	25010
1	1698	25010
0	1698	25010

Stop Event

1×	saturated
1×	saturated

Counts

692 → 0

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal 1/64 binary64) (neg.f64 (neg.f64 (*.f64 i i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 1/64 binary64) i)))
(/.f64 #s(literal -1/64 binary64) (neg.f64 (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i)) #s(literal -1 binary64))
(.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 i i))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(*.f64 i i)
(*.f64 (neg.f64 i) (neg.f64 i))
(.f64 #s(literal 1 binary64) (.f64 i i))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 i) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 i i))) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/16 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))))))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))))) (neg.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) #s(literal 1/256 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))))
(.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(+.f64 #s(literal 0 binary64) (neg.f64 i))
(-.f64 #s(literal 0 binary64) i)
(neg.f64 i)
(/.f64 (neg.f64 (*.f64 i i)) (+.f64 #s(literal 0 binary64) i))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i i))) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))))
(*.f64 i #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) i)
(exp.f64 (*.f64 (log.f64 (/.f64 beta (neg.f64 i))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 i beta))
(-.f64 (/.f64 #s(literal 0 binary64) beta) (/.f64 i beta))
(neg.f64 (/.f64 i beta))
(/.f64 i (neg.f64 beta))
(/.f64 (neg.f64 i) beta)
(/.f64 (neg.f64 i) (neg.f64 (neg.f64 beta)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 beta (neg.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 beta (neg.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (neg.f64 i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) beta)
(pow.f64 (/.f64 beta (neg.f64 i)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 beta (neg.f64 i)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 i (/.f64 #s(literal 1 binary64) (neg.f64 beta)))
(*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) beta))
(*.f64 #s(literal -1 binary64) (/.f64 i beta))
(*.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 beta)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (neg.f64 i))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (.f64 i alpha))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 i alpha) (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (*.f64 i (neg.f64 alpha)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))))
(/.f64 (*.f64 i alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 i alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 i alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 i alpha)) #s(literal 1 binary64)))
(/.f64 (*.f64 i (neg.f64 alpha)) (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 i (neg.f64 alpha))) (neg.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 i alpha) #s(literal 1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 i alpha) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64))) (+.f64 (+.f64 beta alpha) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 i alpha)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 i alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 i (/.f64 alpha (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))))
(.f64 alpha (.f64 i (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))))
(*.f64 alpha (/.f64 i (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))))
(.f64 (.f64 i alpha) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 i alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))))
(.f64 (.f64 i (neg.f64 alpha)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (.f64 i alpha))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i alpha)) #s(literal -1 binary64)))
(*.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) i)
(*.f64 (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64))) (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal -1 binary64))))
(*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 1 binary64))) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) #s(literal -1 binary64)) (.f64 i alpha)) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 alpha i) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 alpha i) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (-.f64 alpha i) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (-.f64 alpha i) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 alpha i) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 alpha i) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 alpha i) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 alpha i) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 i alpha) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 i alpha) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (-.f64 i alpha) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64))))
(.f64 (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64))) (+.f64 i alpha))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal 1/64 binary64) (neg.f64 (neg.f64 (*.f64 i i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 1/64 binary64) i)))
(/.f64 #s(literal -1/64 binary64) (neg.f64 (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i)) #s(literal -1 binary64))
(.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 i i))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(*.f64 i i)
(*.f64 (neg.f64 i) (neg.f64 i))
(.f64 #s(literal 1 binary64) (.f64 i i))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 i) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 i i))) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/16 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))))))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))))) (neg.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) #s(literal 1/256 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))))
(.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(+.f64 #s(literal 0 binary64) (neg.f64 i))
(-.f64 #s(literal 0 binary64) i)
(neg.f64 i)
(/.f64 (neg.f64 (*.f64 i i)) (+.f64 #s(literal 0 binary64) i))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i i))) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))))
(*.f64 i #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) i)
(exp.f64 (*.f64 (log.f64 (/.f64 beta (neg.f64 i))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 i beta))
(-.f64 (/.f64 #s(literal 0 binary64) beta) (/.f64 i beta))
(neg.f64 (/.f64 i beta))
(/.f64 i (neg.f64 beta))
(/.f64 (neg.f64 i) beta)
(/.f64 (neg.f64 i) (neg.f64 (neg.f64 beta)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 beta (neg.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 beta (neg.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (neg.f64 i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) beta)
(pow.f64 (/.f64 beta (neg.f64 i)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 beta (neg.f64 i)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 i (/.f64 #s(literal 1 binary64) (neg.f64 beta)))
(*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) beta))
(*.f64 #s(literal -1 binary64) (/.f64 i beta))
(*.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 beta)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (neg.f64 i))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (.f64 i alpha))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 i alpha) (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (*.f64 i (neg.f64 alpha)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))))
(/.f64 (*.f64 i alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (-.f64 alpha i) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 alpha #s(literal -2 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 alpha i) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 alpha i) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (-.f64 alpha i) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 alpha i) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (-.f64 alpha i) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 alpha i) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 alpha i) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 alpha i) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 alpha i) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 alpha i) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 i alpha) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))))) (.f64 (-.f64 i alpha) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 alpha i))))) (.f64 (-.f64 i alpha) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 i #s(literal -4 binary64)) (.f64 (+.f64 i alpha) (-.f64 i alpha))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))) (.f64 (-.f64 i alpha) (.f64 (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 alpha i) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 alpha i)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 alpha i)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 alpha #s(literal -2 binary64))) (-.f64 i alpha) (.f64 (-.f64 i alpha) (.f64 (.f64 (+.f64 i alpha) (-.f64 i alpha)) (.f64 i #s(literal -4 binary64))))) (.f64 (-.f64 i alpha) (-.f64 i alpha)))
(.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64))))
(.f64 (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64))) (+.f64 i alpha))

eval175.0ms (1.5%)

Memory: 23.8MiB live, 209.0MiB allocated
Compiler: Compiled 21 399 to 986 computations (95.4% saved)

prune67.0ms (0.6%)

Memory

-16.5MiB live, 149.8MiB allocated

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	940	8	948
Fresh	3	12	15
Picked	2	3	5
Done	0	6	6
Total	945	29	974

Accuracy

88.9%

Counts

974 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.2%	(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
	15.0%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha 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)))
	12.2%	(/.f64 (-.f64 (.f64 i i) (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta)) (*.f64 beta beta))
	12.4%	(/.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 (fma.f64 (/.f64 alpha beta) #s(literal -6 binary64) #s(literal 1 binary64)) i)) (neg.f64 (.f64 i (.f64 i i)))) (.f64 beta beta))
✓	12.2%	(/.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))))
	16.8%	(/.f64 (.f64 i (fma.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 alpha (/.f64 beta (+.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)))
	13.7%	(/.f64 (.f64 i (fma.f64 alpha (/.f64 beta (+.f64 alpha beta)) (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (+.f64 alpha beta))))))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -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)))
	11.5%	(/.f64 (.f64 i (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha alpha) beta) alpha)) (*.f64 beta beta))
	18.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (.f64 i i) (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 #s(literal -4 binary64) beta) (/.f64 (*.f64 beta beta) i)) i))) #s(literal 1 binary64)))
✓	15.7%	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
	17.6%	(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
	17.6%	(/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) (+.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
✓	14.9%	(/.f64 (.f64 i i) (.f64 beta beta))
✓	12.9%	(/.f64 (*.f64 i alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
	4.6%	(/.f64 (*.f64 i alpha) (fma.f64 alpha alpha #s(literal -1 binary64)))
	9.7%	(/.f64 (.f64 i alpha) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 alpha alpha)) #s(literal 1 binary64)))
	11.2%	(/.f64 (.f64 i alpha) (.f64 beta beta))
	4.9%	(/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i alpha)) beta)
✓	29.5%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
	1.9%	(/.f64 (*.f64 #s(literal -1/2 binary64) i) beta)
	12.5%	(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))) beta))) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 #s(literal 4 binary64) (.f64 i (+.f64 alpha beta)))) #s(literal 1 binary64)))
	12.8%	(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (.f64 #s(literal 2 binary64) (.f64 i (.f64 i i))) 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)))
	12.4%	(/.f64 (neg.f64 (.f64 i (-.f64 (/.f64 (.f64 alpha alpha) beta) alpha))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
✓	1.9%	(/.f64 (neg.f64 i) beta)
✓	2.0%	(/.f64 i alpha)
	4.2%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	75.2%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
	15.6%	(.f64 i (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 i (*.f64 beta beta))))
✓	74.7%	#s(literal 1/16 binary64)

Compiler

Compiled 1 973 to 568 computations (71.2% saved)

regimes58.0ms (0.5%)

Memory

-10.6MiB live, 111.0MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(/.f64 i alpha)
(/.f64 (neg.f64 i) beta)
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 (*.f64 #s(literal -1/2 binary64) i) beta)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i alpha)) beta)
(.f64 alpha (/.f64 i (.f64 beta beta)))
(/.f64 (.f64 alpha i) (.f64 beta beta))
(/.f64 (.f64 i alpha) (.f64 beta beta))
(/.f64 (.f64 i i) (.f64 beta beta))
(/.f64 (*.f64 i alpha) (fma.f64 alpha alpha #s(literal -1 binary64)))
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(/.f64 (*.f64 i alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
(/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) (+.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
(.f64 i (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 i (*.f64 beta beta))))
(/.f64 (.f64 i alpha) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 alpha alpha)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(/.f64 (.f64 i (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha alpha) beta) alpha)) (*.f64 beta beta))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 alpha alpha)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
(/.f64 (neg.f64 (.f64 i (-.f64 (/.f64 (.f64 alpha alpha) beta) alpha))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(/.f64 (.f64 i (+.f64 alpha 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 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 i i) (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i 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 alpha i)) (-.f64 (.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (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))) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 i (+.f64 alpha i)) (fma.f64 i #s(literal 2 binary64) alpha)) beta) (.f64 i (+.f64 alpha i))) (.f64 beta beta))
(/.f64 (fma.f64 i (/.f64 (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -4 binary64) (.f64 alpha #s(literal -2 binary64)))) beta) (.f64 i (+.f64 i alpha))) (.f64 beta beta))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (.f64 i i) (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 #s(literal -4 binary64) beta) (/.f64 (*.f64 beta beta) i)) i))) #s(literal 1 binary64)))
(/.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 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 (fma.f64 (/.f64 alpha beta) #s(literal -6 binary64) #s(literal 1 binary64)) i)) (neg.f64 (.f64 i (.f64 i i)))) (.f64 beta beta))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.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))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (.f64 #s(literal 2 binary64) (.f64 i (.f64 i i))) 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 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha 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 (.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 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) alpha)))) beta))) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (.f64 #s(literal 4 binary64) (.f64 i (+.f64 alpha beta)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 i (-.f64 (neg.f64 i) alpha) (/.f64 (fma.f64 i (fma.f64 (+.f64 alpha i) (-.f64 (neg.f64 i) alpha) (neg.f64 (.f64 i (+.f64 alpha i)))) (.f64 #s(literal -2 binary64) (.f64 (.f64 i (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (neg.f64 i) 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 (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 (.f64 i (+.f64 alpha i)) (fma.f64 alpha #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (neg.f64 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 i (fma.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 alpha (/.f64 beta (+.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 i (fma.f64 alpha (/.f64 beta (+.f64 alpha beta)) (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 i (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (+.f64 alpha beta))))))) (.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -4 binary64)))) (+.f64 alpha beta))))) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -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)))

Outputs

(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i 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(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))

Calls

4 calls:

15.0ms	alpha
15.0ms	i
13.0ms	(/.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)))
12.0ms	beta

Results

Accuracy	Segments	Branch
75.2%	1	`alpha`
78.8%	2	`beta`
83.5%	2	`i`
78.4%	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)

regimes9.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(/.f64 i alpha)
(/.f64 (neg.f64 i) beta)
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 (*.f64 #s(literal -1/2 binary64) i) beta)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i alpha)) beta)
(.f64 alpha (/.f64 i (.f64 beta beta)))
(/.f64 (.f64 alpha i) (.f64 beta beta))
(/.f64 (.f64 i alpha) (.f64 beta beta))
(/.f64 (.f64 i i) (.f64 beta beta))
(/.f64 (*.f64 i alpha) (fma.f64 alpha alpha #s(literal -1 binary64)))
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(/.f64 (*.f64 i alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
(/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) (+.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
(.f64 i (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 i (*.f64 beta beta))))
(/.f64 (.f64 i alpha) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 alpha alpha)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(/.f64 (.f64 i (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha alpha) beta) alpha)) (*.f64 beta beta))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 alpha alpha)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
(/.f64 (neg.f64 (.f64 i (-.f64 (/.f64 (.f64 alpha alpha) beta) alpha))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(/.f64 (.f64 i (+.f64 alpha 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 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 i i) (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta)) (*.f64 beta beta))

Outputs

(/.f64 (*.f64 i (+.f64 alpha 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(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
79.1%	2	`i`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.3%)

Memory

-18.8MiB live, 19.9MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(.f64 alpha (/.f64 i (.f64 beta beta)))

Calls

2 calls:

30.0ms	beta
7.0ms	i

Results

Accuracy	Segments	Branch
78.8%	2	`beta`
78.8%	2	`i`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))

Calls

3 calls:

3.0ms

beta

3.0ms

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
75.2%	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)))`
75.2%	1	`i`
75.2%	1	`beta`

Compiler

Compiled 64 to 23 computations (64.1% saved)

regimes11.0ms (0.1%)

Memory

-20.8MiB live, 20.0MiB allocated

Accuracy

Total -47.1b remaining (-291.3%)

Threshold costs -47.1b (-291.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(literal 1/16 binary64)

Calls

4 calls:

4.0ms	(/.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)))
2.0ms	beta
2.0ms	i
2.0ms	alpha

Results

Accuracy	Segments	Branch
74.7%	1	`beta`
74.7%	1	`alpha`
74.7%	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)))`
74.7%	1	`i`

Compiler

Compiled 68 to 26 computations (61.8% saved)

bsearch18.0ms (0.1%)

Memory

-2.2MiB live, 35.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.179281158541924e+131	7.929791177580827e+132

Samples

11.0ms

112×

valid

Compiler

Compiled 325 to 191 computations (41.2% saved)

Precisions

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

ival-mult: 4.0ms (49.7% of total)

ival-add: 2.0ms (24.9% of total)

ival-sub: 1.0ms (12.4% of total)

ival-div: 1.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

1.0MiB live, 39.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.5780212546014937e+41	5.433865989428403e+42

Samples

10.0ms

112×

valid

Compiler

Compiled 325 to 184 computations (43.4% saved)

Precisions

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

ival-mult: 3.0ms (43.5% of total)

ival-add: 2.0ms (29% of total)

ival-div: 1.0ms (14.5% 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)

bsearch23.0ms (0.2%)

Memory

7.3MiB live, 43.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.0901136629764417e+239	5.1322425624521765e+244

Samples

15.0ms

144×

valid

Compiler

Compiled 257 to 167 computations (35% saved)

Precisions

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

ival-mult: 4.0ms (35.2% of total)

ival-sub: 3.0ms (26.4% of total)

ival-add: 3.0ms (26.4% of total)

ival-div: 2.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`*-commutative_binary64`
4×	`unsub-neg_binary64`
4×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	94
1	46	94
2	50	94
3	53	94
4	56	94
5	59	94

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 7500000000000000167633792696076449501323806975730319670359127321675198645181757696982152633882325446257614428128218715277188908711936 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i 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(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 2399999999999999860137702570306145305493504 binary64)) (/.f64 (.f64 i (+.f64 alpha 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(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 beta #s(literal 200000000000000010192205912740054562797105054706227332326192032866135484191283266368381817277781340435213162133635125552283598226549044171823650287604838547152620877648562966288761896029315715236087051230122378454882789355192382501217716142080 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 alpha (/.f64 i (*.f64 beta beta))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)

Outputs
(if (<=.f64 i #s(literal 7500000000000000167633792696076449501323806975730319670359127321675198645181757696982152633882325446257614428128218715277188908711936 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i 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(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 7500000000000000167633792696076449501323806975730319670359127321675198645181757696982152633882325446257614428128218715277188908711936 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (+.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 2399999999999999860137702570306145305493504 binary64)) (/.f64 (.f64 i (+.f64 alpha 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(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 2399999999999999860137702570306145305493504 binary64)) (/.f64 (.f64 i (+.f64 i alpha)) (+.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (.f64 i #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 beta #s(literal 200000000000000010192205912740054562797105054706227332326192032866135484191283266368381817277781340435213162133635125552283598226549044171823650287604838547152620877648562966288761896029315715236087051230122378454882789355192382501217716142080 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 alpha (/.f64 i (*.f64 beta beta))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)

soundness532.0ms (4.5%)

Memory

-9.8MiB live, 518.9MiB allocated

Rules

7 902×	`lower-fma.f64`
7 902×	`lower-fma.f32`
7 822×	`lower-*.f64`
7 822×	`lower-*.f32`
7 026×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1585	15706
1	5436	15245
0	8228	14183
0	987	11252
1	3468	10997
0	9243	10092
0	983	9908
1	3195	9729
0	8130	9118

Stop Event

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

Compiler

Compiled 287 to 161 computations (43.9% saved)

preprocess36.0ms (0.3%)

Memory: -11.7MiB live, 103.2MiB allocated
Remove: (sort alpha beta)
Compiler: Compiled 380 to 142 computations (62.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze30.0ms (0.3%)

sample1.6s (13.8%)

preprocess427.0ms (3.6%)

explain260.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify979.0ms (8.2%)

localize317.0ms (2.7%)

series136.0ms (1.1%)

rewrite511.0ms (4.3%)

simplify505.0ms (4.2%)

simplify186.0ms (1.6%)

eval53.0ms (0.4%)

prune30.0ms (0.3%)

simplify332.0ms (2.8%)

localize182.0ms (1.5%)

series126.0ms (1.1%)

rewrite561.0ms (4.7%)

simplify442.0ms (3.7%)

simplify163.0ms (1.4%)

eval243.0ms (2%)

prune122.0ms (1%)

simplify448.0ms (3.8%)

localize153.0ms (1.3%)

series61.0ms (0.5%)

rewrite306.0ms (2.6%)

simplify496.0ms (4.2%)

simplify127.0ms (1.1%)

eval122.0ms (1%)

prune50.0ms (0.4%)

simplify402.0ms (3.4%)

localize107.0ms (0.9%)

series44.0ms (0.4%)

rewrite373.0ms (3.1%)

simplify684.0ms (5.7%)

simplify316.0ms (2.6%)

eval175.0ms (1.5%)

prune67.0ms (0.6%)

regimes58.0ms (0.5%)

regimes9.0ms (0.1%)

regimes38.0ms (0.3%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch23.0ms (0.2%)

simplify7.0ms (0.1%)

soundness532.0ms (4.5%)

preprocess36.0ms (0.3%)

end0.0ms (0%)

Profiling