Metrics for Octave 3.8, jcobi/4

analyze22.0ms (0.2%)

Memory

-7.6MiB live, 40.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 24 computations (63.1% saved)

sample1.5s (11.2%)

Memory

53.9MiB live, 2 315.2MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 789.0ms

ival-mult: 337.0ms (42.7% of total)

ival-add: 193.0ms (24.5% of total)

ival-div: 131.0ms (16.6% of total)

ival->: 56.0ms (7.1% of total)

ival-sub: 39.0ms (4.9% of total)

ival-and: 16.0ms (2% of total)

exact: 14.0ms (1.8% of total)

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

Bogosity

preprocess929.0ms (7.1%)

Memory

9.6MiB live, 545.8MiB 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)

explain387.0ms (3%)

Memory

-36.4MiB live, 488.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/o	166	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	155
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	228
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	308
↳	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`	overflow	2
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`	o/o	136	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	155
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	228
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	308
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`	overflow	2
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
↳	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	overflow	136
↳	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`	overflow	2
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	166
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/n	62	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	155
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	228
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	308
`/.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	13	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`	overflow	2
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	166
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	166

Confusion

	Predicted +	Predicted -
+	228	0
-	0	28

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	228	0	0
-	0	0	28

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	28
1	79
2	149

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 482 to 72 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 14.0ms (43.6% of total)

ival-add: 9.0ms (28.1% of total)

ival-div: 6.0ms (18.7% of total)

ival-sub: 2.0ms (6.2% of total)

exact: 1.0ms (3.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.6%	(/.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

▶

11.6%

(/.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)

simplify595.0ms (4.6%)

Memory

-0.4MiB live, 477.0MiB 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)

localize100.0ms (0.8%)

Memory

34.8MiB live, 74.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i (+.f64 (+.f64 alpha beta) i))
✓	accuracy	99.9%	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
✓	accuracy	44.6%	(/.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	23.9%	(/.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

78.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 59.0ms (86.7% of total)

ival-add: 5.0ms (7.3% of total)

ival-div: 3.0ms (4.4% of total)

ival-sub: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series94.0ms (0.7%)

Memory

9.9MiB live, 81.6MiB allocated

Counts

7 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
28.0ms	i	@	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))
14.0ms	i	@	inf	(/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
4.0ms	beta	@	0	(/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
3.0ms	alpha	@	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))
2.0ms	i	@	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))

rewrite516.0ms (4%)

Memory

-20.4MiB live, 447.3MiB 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	149
0	29	125
1	146	125
2	1503	125
0	8201	116

Stop Event

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

Counts

7 → 432

Calls

Call 1

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

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

simplify550.0ms (4.2%)

Memory

-16.8MiB live, 479.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 052×	`lower-fma.f64`
9 052×	`lower-fma.f32`
5 838×	`lower-+.f64`
5 838×	`lower-+.f32`
4 914×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1076	12354
1	3790	11572
0	8143	10751

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

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

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

eval160.0ms (1.2%)

Memory: 34.6MiB live, 302.5MiB allocated
Compiler: Compiled 75 892 to 3 565 computations (95.3% saved)

prune181.0ms (1.4%)

Memory

-5.7MiB live, 346.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1 032	10	1 042
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 033	10	1 043

Accuracy

90.4%

Counts

1 043 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.9%	(/.f64 (fma.f64 i (+.f64 alpha i) (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)))) (*.f64 beta beta))
	38.4%	(/.f64 (/.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	9.8%	(/.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))))
▶	37.9%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	18.7%	(/.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)))
▶	15.9%	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
	41.0%	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
▶	18.4%	(.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (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)))))
	10.0%	(.f64 i (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))))
▶	75.7%	#s(literal 1/16 binary64)

Compiler

Compiled 694 to 280 computations (59.7% saved)

simplify287.0ms (2.2%)

Memory

-9.2MiB live, 590.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
✓	cost-diff	384	(fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))
✓	cost-diff	384	(.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (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)))))
✓	cost-diff	0	(+.f64 alpha i)
✓	cost-diff	0	(/.f64 (fma.f64 i (+.f64 alpha i) (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)))) (*.f64 beta beta))
✓	cost-diff	320	(fma.f64 i (+.f64 alpha i) (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta))))
✓	cost-diff	1216	(-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))) beta))
✓	cost-diff	0	(.f64 (.f64 i i) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
✓	cost-diff	128	(*.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

8 298×	`lower-fma.f32`
8 288×	`lower-fma.f64`
4 052×	`lower-*.f32`
4 026×	`lower-*.f64`
3 246×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	457
0	79	446
1	198	430
2	618	422
3	2758	422
4	5301	410
0	8078	401

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

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

localize183.0ms (1.4%)

Memory

35.0MiB live, 222.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))
✓	accuracy	93.4%	(.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (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)))))
✓	accuracy	53.4%	(/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
✓	accuracy	22.8%	(/.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))))
✓	accuracy	85.6%	(/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)
✓	accuracy	85.3%	(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta)
✓	accuracy	73.6%	(/.f64 (fma.f64 i (+.f64 alpha i) (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)))) (*.f64 beta beta))
✓	accuracy	52.8%	(-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))) beta))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) 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	99.7%	(.f64 (.f64 i i) #s(literal 1/4 binary64))
✓	accuracy	45.1%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 alpha i)
✓	accuracy	100.0%	(*.f64 i (+.f64 alpha i))
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	73.3%	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))

Samples

98.0ms

256×

valid

Compiler

Compiled 488 to 48 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-sub: 25.0ms (32.9% of total)

ival-mult: 23.0ms (30.2% of total)

ival-div: 16.0ms (21% of total)

ival-add: 11.0ms (14.5% of total)

exact: 1.0ms (1.3% of total)

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

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

series157.0ms (1.2%)

Memory

-40.6MiB live, 179.0MiB allocated

Counts

20 → 624

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)) (patch (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt (.f64 i (+.f64 alpha i)) (patch (.f64 i (+.f64 alpha i)) #<representation binary64>) () ())
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ())
#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)) (patch (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)) #<representation binary64>) () ())
#s(alt (fma.f64 i (+.f64 alpha i) (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)))) (patch (fma.f64 i (+.f64 alpha i) (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)))) (.f64 beta beta)) (patch (/.f64 (fma.f64 i (+.f64 alpha i) (.f64 i (-.f64 (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta)))) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (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))))) (patch (.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (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))))) #<representation binary64>) () ())
#s(alt (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (patch (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) #<representation binary64>) () ())
#s(alt (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (patch (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (patch (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (patch (/.f64 (.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (patch (.f64 (+.f64 i (+.f64 alpha beta)) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) #<representation binary64>) () ())

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

Calls

156 calls:

Time	Variable		Expression
18.0ms	alpha	@	(/ (* (* i i) 1/4) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
7.0ms	alpha	@	(- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ alpha i) (+ (* i 8) (* alpha 4))) beta))
2.0ms	beta	@	(- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ alpha i) (+ (* i 8) (* alpha 4))) beta))
1.0ms	alpha	@	(/ (* (+ i (+ alpha beta)) (+ (* i (+ i (+ alpha beta))) (* alpha beta))) (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))))
1.0ms	beta	@	(/ (* (+ i (+ alpha beta)) (+ (* i (+ i (+ alpha beta))) (* alpha beta))) (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))))

rewrite334.0ms (2.6%)

Memory

0.9MiB live, 584.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 648×	`lower-/.f32`
4 634×	`lower-/.f64`
3 768×	`lower-*.f32`
3 742×	`lower-*.f64`
2 974×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	329
0	78	278
1	397	266
2	3855	266
0	8688	260

Stop Event

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

Counts

20 → 847

Calls

Call 1

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

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

simplify583.0ms (4.5%)

Memory

28.8MiB live, 767.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 406×	`lower-*.f64`
7 406×	`lower-*.f32`
7 074×	`lower-fma.f64`
7 074×	`lower-fma.f32`
4 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2104	22074
1	7318	22070
0	8547	20361

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 618

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)))))
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)))
(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 i)) 2) 1)
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(- (pow (+ alpha (* 2 i)) 2) 1)
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(- (pow (+ alpha beta) 2) 1)
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 1/4 (/ (pow i 2) (- (pow (+ alpha beta) 2) 1)))
(* (pow i 2) (+ (* -1 (/ (* i (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 1/4 (/ 1 (- (pow (+ alpha beta) 2) 1)))))
(* (pow i 2) (+ (* i (+ (* -1 (/ (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))) (* -1/4 (* i (+ (* -16 (/ (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 3))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))))) (* 1/4 (/ 1 (- (pow (+ alpha beta) 2) 1)))))
(* (pow i 2) (+ (* i (+ (* -1 (/ (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))) (* i (+ (* -1/4 (* i (+ (* -16 (/ (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 3))) (* -4 (/ (* (+ alpha beta) (+ (* -16 (/ (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 3))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (* -1/4 (+ (* -16 (/ (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 3))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))))))) (* 1/4 (/ 1 (- (pow (+ alpha beta) 2) 1)))))
1/16
(+ 1/16 (* -1/16 (/ (+ alpha beta) i)))
(- (+ 1/16 (* -1 (/ (+ (* -1/16 (pow (+ alpha beta) 2)) (* 1/64 (- (pow (+ alpha beta) 2) 1))) (pow i 2)))) (* 1/16 (/ (+ alpha beta) i)))
(- (+ 1/16 (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* -1/16 (pow (+ alpha beta) 2)) (* 1/64 (- (pow (+ alpha beta) 2) 1))))) (* -1/64 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (pow i 3)))) (+ (* -1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/64 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (* 1/16 (/ (+ alpha beta) i)))))
1/16
(+ 1/16 (* -1/16 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1/16 (/ (pow (+ alpha beta) 2) i)) (* 1/64 (/ (- (pow (+ alpha beta) 2) 1) i))) (* -1/16 (+ alpha beta))) i)))
(+ 1/16 (* -1 (/ (- (* -1 (/ (- (+ (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i)) (/ (* (+ alpha beta) (+ (* -1/16 (pow (+ alpha beta) 2)) (* 1/64 (- (pow (+ alpha beta) 2) 1)))) i)) (+ (* -1/16 (pow (+ alpha beta) 2)) (* 1/64 (- (pow (+ alpha beta) 2) 1)))) i)) (* -1/16 (+ alpha beta))) i)))
(* 1/4 (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* -1/4 (/ (* alpha (* (pow i 2) (+ (* 2 beta) (* 4 i)))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (* 1/4 (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))))
(+ (* 1/4 (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))) (* alpha (+ (* -1/4 (* alpha (+ (* -1 (/ (* (pow i 2) (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3))) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* -1/4 (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))) (* alpha (+ (* -1/4 (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (* alpha (+ (* -1/4 (* alpha (+ (* -1 (/ (* (+ (* -1 (/ (* (pow i 2) (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3))) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 2 beta) (* 4 i))) (- (pow (+ beta (* 2 i)) 2) 1))) (* -1 (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3)))))) (* -1/4 (+ (* -1 (/ (* (pow i 2) (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3))) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))))))
(* 1/4 (/ (pow i 2) (pow alpha 2)))
(/ (+ (* -1/4 (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) alpha)) (* 1/4 (pow i 2))) (pow alpha 2))
(/ (+ (* -1/4 (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) alpha)) (+ (* -1/4 (/ (+ (* -1 (* (pow i 2) (pow (+ (* 2 beta) (* 4 i)) 2))) (* (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))) (pow alpha 2))) (* 1/4 (pow i 2)))) (pow alpha 2))
(/ (+ (* -1/4 (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) alpha)) (+ (* -1/4 (/ (+ (* -1 (* (+ (* -1 (* (pow i 2) (pow (+ (* 2 beta) (* 4 i)) 2))) (* (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* 2 beta) (* 4 i)))) (* -1 (* (pow i 2) (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1))))) (pow alpha 3))) (+ (* -1/4 (/ (+ (* -1 (* (pow i 2) (pow (+ (* 2 beta) (* 4 i)) 2))) (* (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))) (pow alpha 2))) (* 1/4 (pow i 2))))) (pow alpha 2))
(* 1/4 (/ (pow i 2) (pow alpha 2)))
(/ (+ (* -1/2 (/ (* (pow i 2) (+ beta (* 2 i))) alpha)) (* 1/4 (pow i 2))) (pow alpha 2))
(/ (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -4 (* (pow i 2) (pow (+ beta (* 2 i)) 2))) (* (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))) alpha)) (* 1/2 (* (pow i 2) (+ beta (* 2 i))))) alpha)) (* 1/4 (pow i 2))) (pow alpha 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -4 (* (pow i 2) (pow (+ beta (* 2 i)) 2))) (* (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (* 1/4 (/ (+ (* 2 (* (+ beta (* 2 i)) (+ (* -4 (* (pow i 2) (pow (+ beta (* 2 i)) 2))) (* (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))))) (* 2 (* (pow i 2) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))) alpha))) alpha)) (* 1/2 (* (pow i 2) (+ beta (* 2 i))))) alpha)) (* 1/4 (pow i 2))) (pow alpha 2))
(* 1/4 (/ (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* -1/4 (/ (* beta (* (pow i 2) (+ (* 2 alpha) (* 4 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (* 1/4 (/ (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1))))
(+ (* 1/4 (/ (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (* beta (+ (* -1/4 (* beta (+ (* -1 (/ (* (pow i 2) (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ (pow i 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* -1/4 (/ (* (pow i 2) (+ (* 2 alpha) (* 4 i))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (* beta (+ (* -1/4 (/ (* (pow i 2) (+ (* 2 alpha) (* 4 i))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (* beta (+ (* -1/4 (* beta (+ (* -1 (/ (* (+ (* -1 (/ (* (pow i 2) (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ (pow i 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (* 2 alpha) (* 4 i))) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -1 (/ (* (pow i 2) (+ (* 2 alpha) (* 4 i))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3)))))) (* -1/4 (+ (* -1 (/ (* (pow i 2) (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ (pow i 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))))))
(* 1/4 (/ (pow i 2) (pow beta 2)))
(/ (+ (* -1/4 (/ (* (pow i 2) (+ (* 2 alpha) (* 4 i))) beta)) (* 1/4 (pow i 2))) (pow beta 2))
(/ (+ (* -1/4 (/ (* (pow i 2) (+ (* 2 alpha) (* 4 i))) beta)) (+ (* -1/4 (/ (+ (* -1 (* (pow i 2) (pow (+ (* 2 alpha) (* 4 i)) 2))) (* (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (pow beta 2))) (* 1/4 (pow i 2)))) (pow beta 2))
(/ (+ (* -1/4 (/ (* (pow i 2) (+ (* 2 alpha) (* 4 i))) beta)) (+ (* -1/4 (/ (+ (* -1 (* (+ (* -1 (* (pow i 2) (pow (+ (* 2 alpha) (* 4 i)) 2))) (* (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* 2 alpha) (* 4 i)))) (* -1 (* (pow i 2) (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))) (pow beta 3))) (+ (* -1/4 (/ (+ (* -1 (* (pow i 2) (pow (+ (* 2 alpha) (* 4 i)) 2))) (* (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (pow beta 2))) (* 1/4 (pow i 2))))) (pow beta 2))
(* 1/4 (/ (pow i 2) (pow beta 2)))
(/ (+ (* -1/2 (/ (* (pow i 2) (+ alpha (* 2 i))) beta)) (* 1/4 (pow i 2))) (pow beta 2))
(/ (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -4 (* (pow i 2) (pow (+ alpha (* 2 i)) 2))) (* (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1))) beta)) (* 1/2 (* (pow i 2) (+ alpha (* 2 i))))) beta)) (* 1/4 (pow i 2))) (pow beta 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -4 (* (pow i 2) (pow (+ alpha (* 2 i)) 2))) (* (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (* 1/4 (/ (+ (* 2 (* (+ alpha (* 2 i)) (+ (* -4 (* (pow i 2) (pow (+ alpha (* 2 i)) 2))) (* (pow i 2) (- (pow (+ alpha (* 2 i)) 2) 1))))) (* 2 (* (pow i 2) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))) beta))) beta)) (* 1/2 (* (pow i 2) (+ alpha (* 2 i))))) beta)) (* 1/4 (pow i 2))) (pow beta 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))
(* 1/4 (pow i 2))
(- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))
(- (+ (* 2 (/ (pow i 2) beta)) (* alpha (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta)))))) (* 8 (/ (pow i 2) beta)))
(- (+ (* 2 (/ (pow i 2) beta)) (* alpha (- (+ (* -3 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ i beta))) (+ (* 4 (/ i beta)) (* 8 (/ i beta)))))) (* 8 (/ (pow i 2) beta)))
(- (+ (* 2 (/ (pow i 2) beta)) (* alpha (- (+ (* -3 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ i beta))) (+ (* 4 (/ i beta)) (* 8 (/ i beta)))))) (* 8 (/ (pow i 2) beta)))
(* -3 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (+ (* 2 (/ i (* alpha beta))) (/ i (* alpha beta))) (+ (* 3 (/ 1 beta)) (+ (* 4 (/ i (* alpha beta))) (* 8 (/ i (* alpha beta)))))))
(* (pow alpha 2) (- (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta)))) (+ (* 3 (/ 1 beta)) (+ (* 4 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 8 (/ (pow i 2) (* (pow alpha 2) beta))))))))
(* (pow alpha 2) (- (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta)))) (+ (* 3 (/ 1 beta)) (+ (* 4 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 8 (/ (pow i 2) (* (pow alpha 2) beta))))))))
(* -3 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))) alpha)) (* 3 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -2 (/ i beta)) (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta))) alpha)))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))) alpha)) (* 3 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -2 (/ i beta)) (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta))) alpha)))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))) alpha)) (* 3 (/ 1 beta))))
(- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta)))
(- (+ (* i (- (+ (* 2 (/ alpha beta)) (/ alpha beta)) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta)) (* 4 (/ (pow alpha 2) beta)))
(- (+ (* i (- (+ (* -6 (/ i beta)) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta)) (* 4 (/ (pow alpha 2) beta)))
(- (+ (* i (- (+ (* -6 (/ i beta)) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta)) (* 4 (/ (pow alpha 2) beta)))
(* -6 (/ (pow i 2) beta))
(* (pow i 2) (- (+ (* 2 (/ alpha (* beta i))) (/ alpha (* beta i))) (+ (* 4 (/ alpha (* beta i))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i)))))))
(* (pow i 2) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
(* (pow i 2) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
(* -6 (/ (pow i 2) beta))
(* (pow i 2) (- (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) i)) (* 6 (/ 1 beta))))
(* (pow i 2) (- (* -1 (/ (- (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) i)))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) i)) (* 6 (/ 1 beta))))
(* (pow i 2) (- (* -1 (/ (- (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) i)))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) i)) (* 6 (/ 1 beta))))
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(* i (- (+ alpha (/ (pow alpha 2) beta)) (* 4 (/ (pow alpha 2) beta))))
(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta))) (* 4 (/ (pow alpha 2) beta))))
(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -6 (/ i beta)) (+ (* 2 (/ alpha beta)) (/ alpha beta)))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta))) (* 4 (/ (pow alpha 2) beta))))
(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -6 (/ i beta)) (+ (* 2 (/ alpha beta)) (/ alpha beta)))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta))) (* 4 (/ (pow alpha 2) beta))))
(* -6 (/ (pow i 3) beta))
(* (pow i 3) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 4 (/ alpha (* beta i))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i)))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2))))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2))))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
(* -6 (/ (pow i 3) beta))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (* -1 (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))))) i)) (* 6 (/ 1 beta)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta))))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))))) i)))) i)) (* 6 (/ 1 beta)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta))))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))))) i)))) i)) (* 6 (/ 1 beta)))))
(+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2))
(+ (* alpha (+ i (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))))) (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)))
(+ (* alpha (+ i (+ (* -3 (/ (* alpha i) beta)) (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta)))))))) (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)))
(+ (* alpha (+ i (+ (* -3 (/ (* alpha i) beta)) (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta)))))))) (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)))
(* -3 (/ (* (pow alpha 2) i) beta))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha) (/ (pow i 2) (pow alpha 2)))))))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha) (/ (pow i 2) (pow alpha 2)))))))
(* -3 (/ (* (pow alpha 2) i) beta))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))))) alpha))))
(/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)
(* i (+ alpha i))
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(* i (+ alpha i))
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i)))
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i)))
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i)))
(/ (* i (- (+ alpha (/ (pow alpha 2) beta)) (* 4 (/ (pow alpha 2) beta)))) (pow beta 2))
(* i (- (+ (* i (- (+ (* 2 (/ alpha (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3)))) (+ (* 4 (/ alpha (pow beta 3))) (* 8 (/ alpha (pow beta 3)))))) (+ (/ alpha (pow beta 2)) (/ (pow alpha 2) (pow beta 3)))) (* 4 (/ (pow alpha 2) (pow beta 3)))))
(* i (- (+ (* i (- (+ (* -6 (/ i (pow beta 3))) (+ (* 2 (/ alpha (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3))))) (+ (* 4 (/ alpha (pow beta 3))) (* 8 (/ alpha (pow beta 3)))))) (+ (/ alpha (pow beta 2)) (/ (pow alpha 2) (pow beta 3)))) (* 4 (/ (pow alpha 2) (pow beta 3)))))
(* i (- (+ (* i (- (+ (* -6 (/ i (pow beta 3))) (+ (* 2 (/ alpha (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3))))) (+ (* 4 (/ alpha (pow beta 3))) (* 8 (/ alpha (pow beta 3)))))) (+ (/ alpha (pow beta 2)) (/ (pow alpha 2) (pow beta 3)))) (* 4 (/ (pow alpha 2) (pow beta 3)))))
(* -6 (/ (pow i 3) (pow beta 3)))
(* (pow i 3) (- (+ (* 2 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (/ alpha (* (pow beta 3) i)))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (+ (* 8 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3)))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (pow alpha 2) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (+ (* 4 (/ (pow alpha 2) (* (pow beta 3) (pow i 2)))) (+ (* 8 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (pow alpha 2) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (+ (* 4 (/ (pow alpha 2) (* (pow beta 3) (pow i 2)))) (+ (* 8 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))))
(* -6 (/ (pow i 3) (pow beta 3)))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2))) i)) (* 6 (/ 1 (pow beta 3))))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) (pow beta 2)))) i)) (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 6 (/ 1 (pow beta 3))))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) (pow beta 2)))) i)) (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 6 (/ 1 (pow beta 3))))))
(/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) (pow beta 2))
(+ (* alpha (+ (/ i (pow beta 2)) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (pow beta 2)))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))))
(+ (* alpha (+ (* -3 (/ (* alpha i) (pow beta 3))) (+ (/ i (pow beta 2)) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (pow beta 2))))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))))
(+ (* alpha (+ (* -3 (/ (* alpha i) (pow beta 3))) (+ (/ i (pow beta 2)) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (pow beta 2))))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))))
(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (* (pow alpha 2) (pow beta 2))) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (* (pow alpha 2) (pow beta 2))) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (/ (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))) (pow beta 2))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (+ (* -1 (/ (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))) alpha)) (/ (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))) (pow beta 2)))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (+ (* -1 (/ (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))) alpha)) (/ (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))) (pow beta 2)))) alpha))))
(/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (pow beta 3))
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(/ (* i (+ beta i)) (pow alpha 2))
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2)))
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2))
(* alpha beta)
(+ (* alpha beta) (* i (+ alpha beta)))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(+ (* alpha beta) (* i (+ alpha (+ beta i))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2))))))
(pow i 2)
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i))))
(* i (+ beta i))
(+ (* alpha (+ beta i)) (* i (+ beta i)))
(+ (* alpha (+ beta i)) (* i (+ beta i)))
(+ (* alpha (+ beta i)) (* i (+ beta i)))
(* alpha (+ beta i))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha))))
(* -1 (* alpha (+ (* -1 beta) (* -1 i))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))))
(* i (+ alpha i))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(+ (* beta (+ alpha i)) (* i (+ alpha i)))
(* beta (+ alpha i))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta))))
(* -1 (* beta (+ (* -1 alpha) (* -1 i))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))))
(/ i (- (pow (+ alpha beta) 2) 1))
(* i (+ (* -4 (/ (* i (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ 1 (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (* -1 (* i (+ (* -16 (/ (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 3))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (* 4 (/ (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ 1 (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -16 (/ (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 3))) (* -4 (/ (* (+ alpha beta) (+ (* -16 (/ (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 3))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* -16 (/ (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 3))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (* 4 (/ (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ 1 (- (pow (+ alpha beta) 2) 1))))
(/ 1/4 i)
(/ (+ 1/4 (* -1/4 (/ (+ alpha beta) i))) i)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (+ alpha beta) 2)) (* 1/16 (- (pow (+ alpha beta) 2) 1))) (pow i 2)))) (* 1/4 (/ (+ alpha beta) i))) i)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* -1/4 (pow (+ alpha beta) 2)) (* 1/16 (- (pow (+ alpha beta) 2) 1))))) (* -1/16 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (pow i 3)))) (+ (* -1/4 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))) i)
(/ 1/4 i)
(* -1 (/ (- (* 1/4 (/ (+ alpha beta) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (- (pow (+ alpha beta) 2) 1) i)) (* 1/4 (/ (pow (+ alpha beta) 2) i))) (* 1/4 (+ alpha beta))) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i)) (/ (* (+ alpha beta) (+ (* -1/16 (- (pow (+ alpha beta) 2) 1)) (* 1/4 (pow (+ alpha beta) 2)))) i)) (+ (* -1/16 (- (pow (+ alpha beta) 2) 1)) (* 1/4 (pow (+ alpha beta) 2)))) i)) (* 1/4 (+ alpha beta))) i)) 1/4) i))
(/ i (- (pow (+ beta (* 2 i)) 2) 1))
(+ (* -1 (/ (* alpha (* i (+ (* 2 beta) (* 4 i)))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ i (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* i (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3))) (/ i (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ i (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* i (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3))) (* -1 (/ (* (+ (* -1 (/ (* i (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3))) (/ i (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (* 2 beta) (* 4 i))) (- (pow (+ beta (* 2 i)) 2) 1)))))) (+ (* -1 (/ (* i (pow (+ (* 2 beta) (* 4 i)) 2)) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3))) (/ i (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ i (- (pow (+ beta (* 2 i)) 2) 1)))
(/ i (pow alpha 2))
(/ (+ i (* -1 (/ (* i (+ (* 2 beta) (* 4 i))) alpha))) (pow alpha 2))
(/ (- (+ i (* -1 (/ (+ (* -1 (* i (pow (+ (* 2 beta) (* 4 i)) 2))) (* i (- (pow (+ beta (* 2 i)) 2) 1))) (pow alpha 2)))) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) (pow alpha 2))
(/ (- (+ i (* -1 (/ (+ (* -1 (* i (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (* -1 (* (+ (* -1 (* i (pow (+ (* 2 beta) (* 4 i)) 2))) (* i (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* 2 beta) (* 4 i))))) (pow alpha 3)))) (+ (* -1 (/ (* i (pow (+ (* 2 beta) (* 4 i)) 2)) (pow alpha 2))) (+ (/ (* i (+ (* 2 beta) (* 4 i))) alpha) (/ (* i (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 2))))) (pow alpha 2))
(/ i (pow alpha 2))
(/ (+ i (* -2 (/ (* i (+ beta (* 2 i))) alpha))) (pow alpha 2))
(/ (+ i (* -1 (/ (- (+ (* -4 (/ (* i (pow (+ beta (* 2 i)) 2)) alpha)) (/ (* i (- (pow (+ beta (* 2 i)) 2) 1)) alpha)) (* -2 (* i (+ beta (* 2 i))))) alpha))) (pow alpha 2))
(/ (+ i (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) alpha)) (* 2 (/ (* (+ beta (* 2 i)) (+ (* -4 (* i (pow (+ beta (* 2 i)) 2))) (* i (- (pow (+ beta (* 2 i)) 2) 1)))) alpha))) (+ (* -4 (* i (pow (+ beta (* 2 i)) 2))) (* i (- (pow (+ beta (* 2 i)) 2) 1)))) alpha)) (* -2 (* i (+ beta (* 2 i))))) alpha))) (pow alpha 2))
(/ i (- (pow (+ alpha (* 2 i)) 2) 1))
(+ (* -1 (/ (* beta (* i (+ (* 2 alpha) (* 4 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ i (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ i (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (+ (* 2 alpha) (* 4 i))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ i (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (+ (* 2 alpha) (* 4 i))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (* -1 (/ (* (+ (* -1 (/ (* i (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ i (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (* 2 alpha) (* 4 i))) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (* -1 (/ (* i (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ i (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (+ (* 2 alpha) (* 4 i))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ i (- (pow (+ alpha (* 2 i)) 2) 1)))
(/ i (pow beta 2))
(/ (+ i (* -1 (/ (* i (+ (* 2 alpha) (* 4 i))) beta))) (pow beta 2))
(/ (- (+ i (* -1 (/ (+ (* -1 (* i (pow (+ (* 2 alpha) (* 4 i)) 2))) (* i (- (pow (+ alpha (* 2 i)) 2) 1))) (pow beta 2)))) (/ (* i (+ (* 2 alpha) (* 4 i))) beta)) (pow beta 2))
(/ (- (+ i (* -1 (/ (+ (* -1 (* i (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) (* -1 (* (+ (* -1 (* i (pow (+ (* 2 alpha) (* 4 i)) 2))) (* i (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* 2 alpha) (* 4 i))))) (pow beta 3)))) (+ (* -1 (/ (* i (pow (+ (* 2 alpha) (* 4 i)) 2)) (pow beta 2))) (+ (/ (* i (+ (* 2 alpha) (* 4 i))) beta) (/ (* i (- (pow (+ alpha (* 2 i)) 2) 1)) (pow beta 2))))) (pow beta 2))
(/ i (pow beta 2))
(/ (+ i (* -2 (/ (* i (+ alpha (* 2 i))) beta))) (pow beta 2))
(/ (+ i (* -1 (/ (- (+ (* -4 (/ (* i (pow (+ alpha (* 2 i)) 2)) beta)) (/ (* i (- (pow (+ alpha (* 2 i)) 2) 1)) beta)) (* -2 (* i (+ alpha (* 2 i))))) beta))) (pow beta 2))
(/ (+ i (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* i (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) beta)) (* 2 (/ (* (+ alpha (* 2 i)) (+ (* -4 (* i (pow (+ alpha (* 2 i)) 2))) (* i (- (pow (+ alpha (* 2 i)) 2) 1)))) beta))) (+ (* -4 (* i (pow (+ alpha (* 2 i)) 2))) (* i (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)) (* -2 (* i (+ alpha (* 2 i))))) beta))) (pow beta 2))
(- (pow (+ alpha beta) 2) 1)
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i))))
(- (pow (+ beta (* 2 i)) 2) 1)
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1)
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha))))
(- (pow (+ alpha (* 2 i)) 2) 1)
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1)
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta))))
(pow (+ 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 (/ (pow i 2) beta))
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (/ i beta))))
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ i beta)))))
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ i beta)))))
(/ (pow alpha 2) beta)
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 beta) (/ i (* alpha beta)))))
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (+ (/ 1 beta) (/ i (* alpha beta))))))
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (+ (/ 1 beta) (/ i (* alpha beta))))))
(/ (pow alpha 2) beta)
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (* -1 (/ i beta))) alpha)) (/ 1 beta)))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta)))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta)))
(/ (pow alpha 2) beta)
(+ (* i (+ (* 2 (/ alpha beta)) (/ alpha beta))) (/ (pow alpha 2) beta))
(+ (* i (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ alpha beta)))) (/ (pow alpha 2) beta))
(+ (* i (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ alpha beta)))) (/ (pow alpha 2) beta))
(* 2 (/ (pow i 2) beta))
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (/ alpha (* beta i)))))
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2)))))))
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2)))))))
(* 2 (/ (pow i 2) beta))
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) i)) (* 2 (/ 1 beta))))
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta))))
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta))))
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta)
(* 8 (/ (pow i 2) beta))
(+ (* 8 (/ (pow i 2) beta)) (* alpha (+ (* 4 (/ i beta)) (* 8 (/ i beta)))))
(+ (* 8 (/ (pow i 2) beta)) (* alpha (+ (* 4 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))))
(+ (* 8 (/ (pow i 2) beta)) (* alpha (+ (* 4 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))))
(* 4 (/ (pow alpha 2) beta))
(* (pow alpha 2) (+ (* 4 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 4 (/ 1 beta)))))
(* (pow alpha 2) (+ (* 4 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (+ (* 8 (/ (pow i 2) (* (pow alpha 2) beta))) (* 4 (/ 1 beta))))))
(* (pow alpha 2) (+ (* 4 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (+ (* 8 (/ (pow i 2) (* (pow alpha 2) beta))) (* 4 (/ 1 beta))))))
(* 4 (/ (pow alpha 2) beta))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -8 (/ i beta)) (* -4 (/ i beta))) alpha)) (* 4 (/ 1 beta))))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -8 (/ i beta)) (+ (* -8 (/ (pow i 2) (* alpha beta))) (* -4 (/ i beta)))) alpha)) (* 4 (/ 1 beta))))
(* (pow alpha 2) (+ (* -1 (/ (+ (* -8 (/ i beta)) (+ (* -8 (/ (pow i 2) (* alpha beta))) (* -4 (/ i beta)))) alpha)) (* 4 (/ 1 beta))))
(* 4 (/ (pow alpha 2) beta))
(+ (* 4 (/ (pow alpha 2) beta)) (* i (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta)))))
(+ (* 4 (/ (pow alpha 2) beta)) (* i (+ (* 4 (/ alpha beta)) (+ (* 8 (/ alpha beta)) (* 8 (/ i beta))))))
(+ (* 4 (/ (pow alpha 2) beta)) (* i (+ (* 4 (/ alpha beta)) (+ (* 8 (/ alpha beta)) (* 8 (/ i beta))))))
(* 8 (/ (pow i 2) beta))
(* (pow i 2) (+ (* 4 (/ alpha (* beta i))) (+ (* 8 (/ alpha (* beta i))) (* 8 (/ 1 beta)))))
(* (pow i 2) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 8 (/ alpha (* beta i))) (* 8 (/ 1 beta))))))
(* (pow i 2) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 8 (/ alpha (* beta i))) (* 8 (/ 1 beta))))))
(* 8 (/ (pow i 2) beta))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta))) i)) (* 8 (/ 1 beta))))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ alpha beta)) (+ (* -4 (/ alpha beta)) (* -4 (/ (pow alpha 2) (* beta i))))) i)) (* 8 (/ 1 beta))))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ alpha beta)) (+ (* -4 (/ alpha beta)) (* -4 (/ (pow alpha 2) (* beta i))))) i)) (* 8 (/ 1 beta))))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(/ (* alpha beta) (+ alpha beta))
(+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
(+ (* 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 (- (+ 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 i)
(* i (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
(* i (- (+ 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))))))
(* i (- (+ 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 i)
(* -1 (* i (- (* -1 (/ (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))) i)) 1/4)))
(* -1 (* i (- (* -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)))) i)) (* 1/4 (+ (* 2 alpha) (* 2 beta)))) (* 1/4 (+ alpha beta))) i)) 1/4)))
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha (* beta (+ alpha beta)))) (+ (* -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)))))) (* 1/4 (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) i)) (* 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 (+ (* 2 alpha) (* 2 beta)))) (* 1/4 (+ alpha beta))) i)) 1/4)))
(/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (- (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(+ (* alpha (- (+ (* alpha (- (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2)))) (/ (* i (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 4)))))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2)))) (+ (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2)))) (/ (* i (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
(+ beta i)
(- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (pow (+ beta i) 2) alpha)))) (/ (* (+ beta i) (+ (* 2 beta) (* 4 i))) alpha))
(- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha))))) (+ (/ (* (+ beta i) (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* (+ beta i) (pow (+ beta (* 2 i)) 2)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ (* 2 beta) (* 4 i))))) (pow alpha 2)))))
(- (+ beta (+ i (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* i (pow (+ beta i) 2)) (+ (* (+ beta i) (pow (+ beta (* 2 i)) 2)) (* (+ (* 2 beta) (* 4 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ (* 2 beta) (* 4 i)))))))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 3))) (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha)))))) (+ (/ (* (+ beta i) (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* (+ beta i) (pow (+ beta (* 2 i)) 2)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ (* 2 beta) (* 4 i))))) (pow alpha 2)))))
(* -1 (+ (* -1 beta) (* -1 i)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))) (* 2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (- (* i (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))) (* 2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) (* -1 (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* i (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))) (* 2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) (* -1 (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (+ (* i (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))) (* 2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))) (* 2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) (* -1 (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))
(/ (* i (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (- (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (pow (+ alpha i) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(+ (* beta (- (+ (* beta (- (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))) (+ (/ (* i (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (pow (+ alpha i) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2))))) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (pow (+ alpha i) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* i (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))) (+ (/ (* i (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (pow (+ alpha i) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2))))) (pow (+ alpha (* 2 i)) 2)) (/ (pow (+ alpha i) 2) (pow (+ alpha (* 2 i)) 4)))))) (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2)))) (+ (/ (* i (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (pow (+ alpha i) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2))))) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (/ (pow (+ alpha i) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))
(+ alpha i)
(- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (pow (+ alpha i) 2) beta)))) (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta))
(- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta))))) (+ (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta) (+ (/ (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))
(- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* i (pow (+ alpha i) 2)) (+ (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))))) (* (pow (+ alpha (* 2 i)) 2) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 3))) (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) (+ (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta) (+ (/ (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))
(* -1 (+ (* -1 alpha) (* -1 i)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))) (* 2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (- (* i (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))) (* 2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) (* -1 (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* i (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))) (* 2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) (* -1 (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (+ (* i (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))) (* 2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))) (* 2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) (* -1 (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))
(* alpha (* beta (+ alpha beta)))
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2))))
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2)))))
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))
(pow i 3)
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
(* (pow i 3) (+ 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 3)
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* 2 alpha) (* 2 beta)) i)) 1)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i)) (+ (* 2 alpha) (* 2 beta))) i)) 1)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* alpha beta)) (+ (* -1 (/ (* alpha (* beta (+ alpha beta))) i)) (* -1 (pow (+ alpha beta) 2)))) i)) (+ (* 2 alpha) (* 2 beta))) i)) 1)))
(* i (pow (+ beta i) 2))
(+ (* alpha (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (+ beta i)) (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* i (pow (+ beta i) 2)))
(+ (* alpha (+ (* alpha (+ beta i)) (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* i (pow (+ beta i) 2)))
(* (pow alpha 2) (+ beta i))
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (pow (+ beta i) 2) alpha)))))
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha))))))
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha))))))
(* -1 (* (pow alpha 2) (+ (* -1 beta) (* -1 i))))
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))) alpha))))
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* i (pow (+ beta i) 2)) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* i (pow (+ beta i) 2)) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(* i (pow (+ alpha i) 2))
(+ (* beta (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (+ alpha i)) (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* i (pow (+ alpha i) 2)))
(+ (* beta (+ (* beta (+ alpha i)) (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* i (pow (+ alpha i) 2)))
(* (pow beta 2) (+ alpha i))
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (pow (+ alpha i) 2) beta)))))
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta))))))
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta))))))
(* -1 (* (pow beta 2) (+ (* -1 alpha) (* -1 i))))
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))) beta))))
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* i (pow (+ alpha i) 2)) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* i (pow (+ alpha i) 2)) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 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))))
(.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))))
(.f64 (.f64 i i) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 alpha (.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))))
(.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))))
(.f64 (.f64 i i) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 alpha (.f64 i (*.f64 beta beta)))))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(fma.f64 alpha (/.f64 i (.f64 beta beta)) (/.f64 (.f64 i i) (*.f64 beta beta)))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(fma.f64 alpha (/.f64 i (.f64 beta beta)) (/.f64 (.f64 i i) (*.f64 beta beta)))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(fma.f64 alpha (/.f64 i (.f64 beta beta)) (/.f64 (.f64 i i) (*.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 alpha (/.f64 i (.f64 beta beta)))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 alpha (+.f64 (/.f64 i (.f64 beta beta)) (/.f64 (.f64 i i) (.f64 alpha (*.f64 beta beta)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 alpha (+.f64 (/.f64 i (.f64 beta beta)) (/.f64 (.f64 i i) (.f64 alpha (*.f64 beta beta)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(.f64 alpha (+.f64 (/.f64 i (.f64 beta beta)) (/.f64 (.f64 i i) (.f64 alpha (*.f64 beta beta)))))
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(.f64 alpha (/.f64 i (.f64 beta beta)))
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(.f64 (.f64 i i) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -3 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 alpha alpha) beta) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha alpha) beta))) i))) (.f64 (/.f64 alpha beta) #s(literal -12 binary64))) i)) (/.f64 #s(literal 6 binary64) beta)))
(* (pow i 2) (- (* -1 (/ (- (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) i)))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) i)) (* 6 (/ 1 beta))))
(.f64 (.f64 i i) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -3 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 alpha alpha) beta) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha alpha) beta))) i))) (.f64 (/.f64 alpha beta) #s(literal -12 binary64))) i)) (/.f64 #s(literal 6 binary64) beta)))
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta)
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(/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta)
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)
(/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta)
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(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))) beta))
(* i (- (+ alpha (/ (pow alpha 2) beta)) (* 4 (/ (pow alpha 2) beta))))
(.f64 i (+.f64 (+.f64 alpha (/.f64 (.f64 alpha alpha) beta)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha alpha) beta))))
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(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -6 (/ i beta)) (+ (* 2 (/ alpha beta)) (/ alpha beta)))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta))) (* 4 (/ (pow alpha 2) beta))))
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(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -6 (/ i beta)) (+ (* 2 (/ alpha beta)) (/ alpha beta)))) (+ (* 4 (/ alpha beta)) (* 8 (/ alpha beta))))) (/ (pow alpha 2) beta))) (* 4 (/ (pow alpha 2) beta))))
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(* -6 (/ (pow i 3) beta))
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(* (pow i 3) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 4 (/ alpha (* beta i))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i)))))))
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(* (pow i 3) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2))))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
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(* (pow i 3) (- (+ (* 2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2))))))) (+ (* 4 (/ alpha (* beta i))) (+ (* 4 (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 6 (/ 1 beta)) (* 8 (/ alpha (* beta i))))))))
(.f64 (.f64 i (.f64 i i)) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 i beta)) (/.f64 #s(literal 1 binary64) i)) (+.f64 (+.f64 (/.f64 alpha (.f64 i beta)) (/.f64 alpha (.f64 i i))) (/.f64 (.f64 alpha alpha) (.f64 beta (.f64 i i))))) (fma.f64 #s(literal 4 binary64) (/.f64 alpha (.f64 i beta)) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta (.f64 i i))) (fma.f64 #s(literal 8 binary64) (/.f64 alpha (.f64 i beta)) (/.f64 #s(literal 6 binary64) beta))))))
(* -6 (/ (pow i 3) beta))
(.f64 #s(literal -6 binary64) (/.f64 (.f64 i (*.f64 i i)) beta))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (* -1 (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))))) i)) (* 6 (/ 1 beta)))))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (/.f64 #s(literal 6 binary64) beta) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (/.f64 alpha beta) #s(literal -3 binary64)) (*.f64 (/.f64 alpha beta) #s(literal -12 binary64))))) i)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta))))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))))) i)))) i)) (* 6 (/ 1 beta)))))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (/.f64 #s(literal 6 binary64) beta) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (-.f64 (.f64 (/.f64 alpha beta) #s(literal -3 binary64)) (.f64 (/.f64 alpha beta) #s(literal -12 binary64))) (/.f64 (+.f64 (neg.f64 alpha) (neg.f64 (+.f64 (/.f64 (.f64 alpha alpha) beta) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha alpha) beta))))) i)) #s(literal 1 binary64)) i)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta))))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))))) i)))) i)) (* 6 (/ 1 beta)))))
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(+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2))
(fma.f64 i (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (*.f64 i i))
(+ (* alpha (+ i (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))))) (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)))
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(+ (* alpha (+ i (+ (* -3 (/ (* alpha i) beta)) (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta)))))))) (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)))
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(+ (* alpha (+ i (+ (* -3 (/ (* alpha i) beta)) (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta)))))))) (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)))
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(* -3 (/ (* (pow alpha 2) i) beta))
(/.f64 (.f64 #s(literal -3 binary64) (.f64 i (*.f64 alpha alpha))) beta)
(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha))))
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(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha) (/ (pow i 2) (pow alpha 2)))))))
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(* (pow alpha 2) (+ (* -3 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) alpha) (/ (pow i 2) (pow alpha 2)))))))
(.f64 (.f64 alpha alpha) (+.f64 (fma.f64 (/.f64 i beta) #s(literal -3 binary64) (/.f64 i alpha)) (fma.f64 i (/.f64 (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 alpha alpha)) (fma.f64 i (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 i beta)) (.f64 (/.f64 i beta) #s(literal 12 binary64))) alpha) (/.f64 (.f64 i i) (*.f64 alpha alpha))))))
(* -3 (/ (* (pow alpha 2) i) beta))
(/.f64 (.f64 #s(literal -3 binary64) (.f64 i (*.f64 alpha alpha))) beta)
(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta)))))) alpha))))
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(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))))) alpha))))
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(* (pow alpha 2) (+ (* -3 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))))) alpha))))
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(/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)
(/.f64 (.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))) beta)
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)
(/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) beta)
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)
(/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) beta)
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)
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(* i (+ alpha i))
(*.f64 i (+.f64 alpha i))
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
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(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
(fma.f64 i (/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta) (*.f64 i (+.f64 alpha i)))
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta))
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(* i (+ alpha i))
(*.f64 i (+.f64 alpha i))
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i)))
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(* i (- (+ (* i (- (+ (* 2 (/ alpha (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3)))) (+ (* 4 (/ alpha (pow beta 3))) (* 8 (/ alpha (pow beta 3)))))) (+ (/ alpha (pow beta 2)) (/ (pow alpha 2) (pow beta 3)))) (* 4 (/ (pow alpha 2) (pow beta 3)))))
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(* i (- (+ (* i (- (+ (* -6 (/ i (pow beta 3))) (+ (* 2 (/ alpha (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3))))) (+ (* 4 (/ alpha (pow beta 3))) (* 8 (/ alpha (pow beta 3)))))) (+ (/ alpha (pow beta 2)) (/ (pow alpha 2) (pow beta 3)))) (* 4 (/ (pow alpha 2) (pow beta 3)))))
(.f64 i (+.f64 (fma.f64 i (-.f64 (fma.f64 #s(literal -6 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (/.f64 alpha (.f64 beta (.f64 beta beta))))) (.f64 (/.f64 alpha (.f64 beta (.f64 beta beta))) #s(literal 12 binary64))) (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (.f64 alpha alpha) (.f64 beta (.f64 beta beta))))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta (*.f64 beta beta))))))
(* i (- (+ (* i (- (+ (* -6 (/ i (pow beta 3))) (+ (* 2 (/ alpha (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3))))) (+ (* 4 (/ alpha (pow beta 3))) (* 8 (/ alpha (pow beta 3)))))) (+ (/ alpha (pow beta 2)) (/ (pow alpha 2) (pow beta 3)))) (* 4 (/ (pow alpha 2) (pow beta 3)))))
(.f64 i (+.f64 (fma.f64 i (-.f64 (fma.f64 #s(literal -6 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (/.f64 alpha (.f64 beta (.f64 beta beta))))) (.f64 (/.f64 alpha (.f64 beta (.f64 beta beta))) #s(literal 12 binary64))) (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (.f64 alpha alpha) (.f64 beta (.f64 beta beta))))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha alpha) (.f64 beta (*.f64 beta beta))))))
(* -6 (/ (pow i 3) (pow beta 3)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 i (.f64 i i))) (.f64 beta (*.f64 beta beta)))
(* (pow i 3) (- (+ (* 2 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (/ alpha (* (pow beta 3) i)))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (+ (* 8 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3)))))))
(.f64 (.f64 i (.f64 i i)) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 beta beta)))) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta))))) (fma.f64 #s(literal 4 binary64) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta)))) (fma.f64 #s(literal 8 binary64) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 6 binary64) (.f64 beta (*.f64 beta beta)))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (pow alpha 2) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (+ (* 4 (/ (pow alpha 2) (* (pow beta 3) (pow i 2)))) (+ (* 8 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))))
(.f64 (.f64 i (.f64 i i)) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 beta beta)))) (+.f64 (+.f64 (/.f64 alpha (.f64 (.f64 beta beta) (.f64 i i))) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta))))) (/.f64 (.f64 alpha alpha) (.f64 (.f64 i i) (.f64 beta (.f64 beta beta)))))) (fma.f64 #s(literal 4 binary64) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta)))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 alpha alpha) (.f64 (.f64 i i) (.f64 beta (.f64 beta beta)))) (fma.f64 #s(literal 8 binary64) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 6 binary64) (.f64 beta (.f64 beta beta))))))))
(* (pow i 3) (- (+ (* 2 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (pow alpha 2) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (+ (* 4 (/ (pow alpha 2) (* (pow beta 3) (pow i 2)))) (+ (* 8 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))))
(.f64 (.f64 i (.f64 i i)) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 beta beta)))) (+.f64 (+.f64 (/.f64 alpha (.f64 (.f64 beta beta) (.f64 i i))) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta))))) (/.f64 (.f64 alpha alpha) (.f64 (.f64 i i) (.f64 beta (.f64 beta beta)))))) (fma.f64 #s(literal 4 binary64) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta)))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 alpha alpha) (.f64 (.f64 i i) (.f64 beta (.f64 beta beta)))) (fma.f64 #s(literal 8 binary64) (/.f64 alpha (.f64 i (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 6 binary64) (.f64 beta (.f64 beta beta))))))))
(* -6 (/ (pow i 3) (pow beta 3)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 i (.f64 i i))) (.f64 beta (*.f64 beta beta)))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2))) i)) (* 6 (/ 1 (pow beta 3))))))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 beta (.f64 beta beta))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 alpha beta) #s(literal -3 binary64)) (.f64 (/.f64 alpha beta) #s(literal -12 binary64))) (*.f64 beta beta)))) i)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) (pow beta 2)))) i)) (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 6 (/ 1 (pow beta 3))))))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 beta (.f64 beta beta))) (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 alpha beta) #s(literal -3 binary64)) (.f64 (/.f64 alpha beta) #s(literal -12 binary64))) (.f64 beta beta)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 alpha alpha) beta) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha alpha) beta))) (.f64 beta beta)))) i))) i)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha (pow beta 2))) (* -1 (/ (- (/ (pow alpha 2) beta) (* 4 (/ (pow alpha 2) beta))) (pow beta 2)))) i)) (+ (* -1 (/ (- (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) (+ (* -8 (/ alpha beta)) (* -4 (/ alpha beta)))) (pow beta 2))) (/ 1 (pow beta 2)))) i)) (* 6 (/ 1 (pow beta 3))))))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 beta (.f64 beta beta))) (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 alpha beta) #s(literal -3 binary64)) (.f64 (/.f64 alpha beta) #s(literal -12 binary64))) (.f64 beta beta)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 alpha alpha) beta) (.f64 #s(literal -4 binary64) (/.f64 (.f64 alpha alpha) beta))) (.f64 beta beta)))) i))) i)))))
(/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow i 2)) (pow beta 2))
(/.f64 (fma.f64 i (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
(+ (* alpha (+ (/ i (pow beta 2)) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (pow beta 2)))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))))
(fma.f64 alpha (fma.f64 i (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 i beta)) (.f64 (/.f64 i beta) #s(literal 12 binary64))) (.f64 beta beta)) (/.f64 i (.f64 beta beta))) (fma.f64 i (/.f64 (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 beta beta)) (/.f64 (.f64 i i) (*.f64 beta beta))))
(+ (* alpha (+ (* -3 (/ (* alpha i) (pow beta 3))) (+ (/ i (pow beta 2)) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (pow beta 2))))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))))
(fma.f64 alpha (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 alpha i) (.f64 beta (.f64 beta beta))) (fma.f64 i (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 i beta)) (.f64 (/.f64 i beta) #s(literal 12 binary64))) (.f64 beta beta)) (/.f64 i (.f64 beta beta)))) (fma.f64 i (/.f64 (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 beta beta)) (/.f64 (.f64 i i) (.f64 beta beta))))
(+ (* alpha (+ (* -3 (/ (* alpha i) (pow beta 3))) (+ (/ i (pow beta 2)) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (pow beta 2))))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))))
(fma.f64 alpha (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 alpha i) (.f64 beta (.f64 beta beta))) (fma.f64 i (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 i beta)) (.f64 (/.f64 i beta) #s(literal 12 binary64))) (.f64 beta beta)) (/.f64 i (.f64 beta beta)))) (fma.f64 i (/.f64 (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 beta beta)) (/.f64 (.f64 i i) (.f64 beta beta))))
(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
(/.f64 (.f64 #s(literal -3 binary64) (.f64 i (.f64 alpha alpha))) (.f64 beta (*.f64 beta beta)))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))))))
(.f64 (.f64 alpha alpha) (fma.f64 #s(literal -3 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (fma.f64 i (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 i beta)) (.f64 (/.f64 i beta) #s(literal 12 binary64))) (.f64 alpha (.f64 beta beta))) (/.f64 i (.f64 alpha (.f64 beta beta))))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (* (pow alpha 2) (pow beta 2))) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
(.f64 (.f64 alpha alpha) (+.f64 (fma.f64 #s(literal -3 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (/.f64 i (.f64 alpha (.f64 beta beta)))) (fma.f64 i (/.f64 (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 (.f64 beta beta) (.f64 alpha alpha))) (fma.f64 i (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 i beta)) (.f64 (/.f64 i beta) #s(literal 12 binary64))) (.f64 alpha (.f64 beta beta))) (/.f64 (.f64 i i) (.f64 (.f64 beta beta) (*.f64 alpha alpha)))))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (* (pow alpha 2) (pow beta 2))) (+ (/ (* i (- (+ (* 2 (/ i beta)) (/ i beta)) (+ (* 4 (/ i beta)) (* 8 (/ i beta))))) (* alpha (pow beta 2))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
(.f64 (.f64 alpha alpha) (+.f64 (fma.f64 #s(literal -3 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (/.f64 i (.f64 alpha (.f64 beta beta)))) (fma.f64 i (/.f64 (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 (.f64 beta beta) (.f64 alpha alpha))) (fma.f64 i (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 i beta)) (.f64 (/.f64 i beta) #s(literal 12 binary64))) (.f64 alpha (.f64 beta beta))) (/.f64 (.f64 i i) (.f64 (.f64 beta beta) (*.f64 alpha alpha)))))))
(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
(/.f64 (.f64 #s(literal -3 binary64) (.f64 i (.f64 alpha alpha))) (.f64 beta (*.f64 beta beta)))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (/ (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))) (pow beta 2))) alpha))))
(.f64 (.f64 alpha alpha) (fma.f64 #s(literal -3 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 i (/.f64 (-.f64 (.f64 (/.f64 i beta) #s(literal -3 binary64)) (.f64 (/.f64 i beta) #s(literal -12 binary64))) (.f64 beta beta)) (neg.f64 (/.f64 i (.f64 beta beta)))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (+ (* -1 (/ (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))) alpha)) (/ (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))) (pow beta 2)))) alpha))))
(.f64 (.f64 alpha alpha) (fma.f64 #s(literal -3 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 i (.f64 beta beta))) (fma.f64 i (/.f64 (-.f64 (.f64 (/.f64 i beta) #s(literal -3 binary64)) (.f64 (/.f64 i beta) #s(literal -12 binary64))) (.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 i (/.f64 (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 beta beta)) (/.f64 (.f64 i i) (*.f64 beta beta))) alpha)))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (+ (* -1 (/ (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 8 (/ (pow i 2) beta)))) (pow beta 2)) (/ (pow i 2) (pow beta 2))) alpha)) (/ (* i (- (+ (* -2 (/ i beta)) (* -1 (/ i beta))) (+ (* -8 (/ i beta)) (* -4 (/ i beta))))) (pow beta 2)))) alpha))))
(.f64 (.f64 alpha alpha) (fma.f64 #s(literal -3 binary64) (/.f64 i (.f64 beta (.f64 beta beta))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 i (.f64 beta beta))) (fma.f64 i (/.f64 (-.f64 (.f64 (/.f64 i beta) #s(literal -3 binary64)) (.f64 (/.f64 i beta) #s(literal -12 binary64))) (.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 i (/.f64 (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 beta beta)) (/.f64 (.f64 i i) (*.f64 beta beta))) alpha)))) alpha))))
(/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (pow beta 3))
(/.f64 (.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) (.f64 beta (*.f64 beta beta)))
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (.f64 beta (.f64 beta beta)))
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (.f64 beta (.f64 beta beta)))
(/ (+ (* beta (* i (+ alpha i))) (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (.f64 beta (.f64 beta beta)))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(/ (+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/.f64 (fma.f64 i (/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta) (.f64 i (+.f64 alpha i))) (.f64 beta beta))
(/ (+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/.f64 (fma.f64 i (/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta) (.f64 i (+.f64 alpha i))) (.f64 beta beta))
(/ (+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/.f64 (fma.f64 i (/.f64 (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta) (.f64 i (+.f64 alpha i))) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(/ (+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/.f64 (fma.f64 i (+.f64 alpha i) (neg.f64 (/.f64 (.f64 i (.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))))) beta))) (*.f64 beta beta))
(/ (+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/.f64 (fma.f64 i (+.f64 alpha i) (neg.f64 (/.f64 (.f64 i (.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))))) beta))) (*.f64 beta beta))
(/ (+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/.f64 (fma.f64 i (+.f64 alpha i) (neg.f64 (/.f64 (.f64 i (.f64 #s(literal -1 binary64) (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))))) beta))) (*.f64 beta beta))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
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(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)
(.f64 (+.f64 alpha i) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))
(/ (* alpha beta) (+ alpha beta))
(*.f64 alpha (/.f64 beta (+.f64 alpha beta)))
(+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))
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(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* i (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))
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(* i (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))
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(* i (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))
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(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* -1 (* i (- (* -1 (/ (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))) i)) 1/4)))
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(* -1 (* i (- (* -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)))) i)) (* 1/4 (+ (* 2 alpha) (* 2 beta)))) (* 1/4 (+ alpha beta))) i)) 1/4)))
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(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha (* beta (+ alpha beta)))) (+ (* -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)))))) (* 1/4 (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) i)) (* 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 (+ (* 2 alpha) (* 2 beta)))) (* 1/4 (+ alpha beta))) i)) 1/4)))
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(/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))
(/.f64 (.f64 i (.f64 (+.f64 i beta) (+.f64 i beta))) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))
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(+ (* alpha (- (+ (* alpha (- (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2)))) (/ (* i (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))
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(/ (* i (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))
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(+.f64 alpha i)
(- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (pow (+ alpha i) 2) beta)))) (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta))
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(- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* i (pow (+ alpha i) 2)) (+ (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))))) (* (pow (+ alpha (* 2 i)) 2) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 3))) (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) (+ (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta) (+ (/ (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))
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(* -1 (+ (* -1 alpha) (* -1 i)))
(neg.f64 (+.f64 (neg.f64 i) (neg.f64 alpha)))
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(* alpha (* beta (+ alpha beta)))
(.f64 alpha (.f64 beta (+.f64 alpha beta)))
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2))))
(fma.f64 alpha (.f64 beta (+.f64 alpha beta)) (.f64 i (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2)))))
(fma.f64 i (fma.f64 alpha beta (fma.f64 i (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 alpha (.f64 beta (+.f64 alpha beta))))
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))
(fma.f64 i (fma.f64 alpha beta (fma.f64 i (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) i) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (.f64 alpha (*.f64 beta (+.f64 alpha beta))))
(pow i 3)
(.f64 i (.f64 i i))
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i)))))
(.f64 (.f64 i (*.f64 i i)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1 binary64)))
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))
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(* (pow i 3) (+ 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))))))))
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(pow i 3)
(.f64 i (.f64 i i))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* 2 alpha) (* 2 beta)) i)) 1)))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) #s(literal -1 binary64))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i)) (+ (* 2 alpha) (* 2 beta))) i)) 1)))
(neg.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) (neg.f64 (/.f64 (fma.f64 (neg.f64 alpha) beta (neg.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) i))) i)) #s(literal -1 binary64))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* alpha beta)) (+ (* -1 (/ (* alpha (* beta (+ alpha beta))) i)) (* -1 (pow (+ alpha beta) 2)))) i)) (+ (* 2 alpha) (* 2 beta))) i)) 1)))
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(* i (pow (+ beta i) 2))
(.f64 i (.f64 (+.f64 i beta) (+.f64 i beta)))
(+ (* alpha (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (pow (+ beta i) 2)))
(fma.f64 alpha (fma.f64 i (+.f64 i beta) (.f64 (+.f64 i beta) (+.f64 i beta))) (.f64 i (*.f64 (+.f64 i beta) (+.f64 i beta))))
(+ (* alpha (+ (* alpha (+ beta i)) (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* i (pow (+ beta i) 2)))
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(+ (* alpha (+ (* alpha (+ beta i)) (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* i (pow (+ beta i) 2)))
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(* (pow alpha 2) (+ beta i))
(.f64 (.f64 alpha alpha) (+.f64 i beta))
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (pow (+ beta i) 2) alpha)))))
(.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 (fma.f64 i (/.f64 (+.f64 i beta) alpha) i) (/.f64 (*.f64 (+.f64 i beta) (+.f64 i beta)) alpha))))
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha))))))
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(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha))))))
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(* -1 (* (pow alpha 2) (+ (* -1 beta) (* -1 i))))
(neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (neg.f64 i) (neg.f64 beta))))
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))) alpha))))
(.f64 (.f64 alpha alpha) (+.f64 (neg.f64 (+.f64 (neg.f64 i) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (+.f64 i beta) (+.f64 (neg.f64 i) (neg.f64 beta)) (*.f64 (neg.f64 i) (+.f64 i beta))) alpha))))
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* i (pow (+ beta i) 2)) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(.f64 (.f64 alpha alpha) (+.f64 (neg.f64 (+.f64 (neg.f64 i) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (neg.f64 i) (+.f64 i beta) (fma.f64 (+.f64 i beta) (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (.f64 i (.f64 (+.f64 i beta) (+.f64 i beta))) alpha)))) alpha))))
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* i (pow (+ beta i) 2)) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha))))
(.f64 (.f64 alpha alpha) (+.f64 (neg.f64 (+.f64 (neg.f64 i) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (neg.f64 i) (+.f64 i beta) (fma.f64 (+.f64 i beta) (+.f64 (neg.f64 i) (neg.f64 beta)) (neg.f64 (/.f64 (.f64 i (.f64 (+.f64 i beta) (+.f64 i beta))) alpha)))) alpha))))
(* i (pow (+ alpha i) 2))
(.f64 i (.f64 (+.f64 alpha i) (+.f64 alpha i)))
(+ (* beta (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (pow (+ alpha i) 2)))
(fma.f64 i (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 beta (fma.f64 i (+.f64 alpha i) (*.f64 (+.f64 alpha i) (+.f64 alpha i)))))
(+ (* beta (+ (* beta (+ alpha i)) (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* i (pow (+ alpha i) 2)))
(fma.f64 i (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 beta (fma.f64 (+.f64 alpha i) (+.f64 i beta) (*.f64 (+.f64 alpha i) (+.f64 alpha i)))))
(+ (* beta (+ (* beta (+ alpha i)) (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* i (pow (+ alpha i) 2)))
(fma.f64 i (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 beta (fma.f64 (+.f64 alpha i) (+.f64 i beta) (*.f64 (+.f64 alpha i) (+.f64 alpha i)))))
(* (pow beta 2) (+ alpha i))
(.f64 (.f64 beta beta) (+.f64 alpha i))
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (pow (+ alpha i) 2) beta)))))
(.f64 (.f64 beta beta) (+.f64 alpha (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) beta))))
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta))))))
(.f64 (.f64 beta beta) (+.f64 alpha (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) (fma.f64 i (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 beta beta)) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) beta)))))
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta))))))
(.f64 (.f64 beta beta) (+.f64 alpha (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) (fma.f64 i (/.f64 (.f64 (+.f64 alpha i) (+.f64 alpha i)) (.f64 beta beta)) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) beta)))))
(* -1 (* (pow beta 2) (+ (* -1 alpha) (* -1 i))))
(neg.f64 (.f64 (.f64 beta beta) (+.f64 (neg.f64 i) (neg.f64 alpha))))
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))) beta))))
(.f64 (.f64 beta beta) (+.f64 (neg.f64 (+.f64 (neg.f64 i) (neg.f64 alpha))) (neg.f64 (/.f64 (fma.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (*.f64 i (+.f64 alpha i)))) beta))))
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* i (pow (+ alpha i) 2)) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(.f64 (.f64 beta beta) (+.f64 (neg.f64 (+.f64 (neg.f64 i) (neg.f64 alpha))) (neg.f64 (/.f64 (fma.f64 (neg.f64 i) (+.f64 alpha i) (fma.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (.f64 i (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta)))) beta))))
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* i (pow (+ alpha i) 2)) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))
(.f64 (.f64 beta beta) (+.f64 (neg.f64 (+.f64 (neg.f64 i) (neg.f64 alpha))) (neg.f64 (/.f64 (fma.f64 (neg.f64 i) (+.f64 alpha i) (fma.f64 (+.f64 alpha i) (+.f64 (neg.f64 i) (neg.f64 alpha)) (neg.f64 (/.f64 (.f64 i (.f64 (+.f64 alpha i) (+.f64 alpha i))) beta)))) beta))))

eval488.0ms (3.7%)

Memory: -78.1MiB live, 437.9MiB allocated
Compiler: Compiled 85 109 to 5 728 computations (93.3% saved)

prune526.0ms (4%)

Memory

14.6MiB live, 596.9MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 646	14	1 660
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	1 655	15	1 670

Accuracy

99.3%

Counts

1 670 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.9%	(/.f64 (fma.f64 i (/.f64 (.f64 #s(literal -6 binary64) (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
▶	3.4%	(/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (.f64 beta (.f64 beta beta)))
	20.2%	(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
	26.3%	(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
	9.8%	(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 i beta) (+.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))))
▶	29.8%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)))
	15.6%	(/.f64 (.f64 i i) (.f64 beta beta))
▶	10.5%	(/.f64 (.f64 alpha i) (.f64 beta beta))
	16.7%	(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
▶	26.4%	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
▶	20.2%	(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
	18.0%	(.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 i (.f64 (+.f64 i beta) (+.f64 i beta))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))
	20.5%	(*.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (+.f64 alpha i))
	24.9%	(.f64 (/.f64 i beta) (/.f64 (fma.f64 (+.f64 i alpha) (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (+.f64 i alpha)) beta))
✓	75.7%	#s(literal 1/16 binary64)

Compiler

Compiled 558 to 292 computations (47.7% saved)

simplify428.0ms (3.3%)

Memory

-33.6MiB live, 502.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))
✓	cost-diff	0	(/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (.f64 beta (.f64 beta beta)))
✓	cost-diff	576	(-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))
✓	cost-diff	832	(fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i))))
✓	cost-diff	0	(+.f64 i alpha)
✓	cost-diff	0	(*.f64 i (+.f64 i alpha))
✓	cost-diff	0	(/.f64 (*.f64 i (+.f64 i alpha)) beta)
✓	cost-diff	704	(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
✓	cost-diff	0	(/.f64 i beta)
✓	cost-diff	0	(+.f64 i alpha)
✓	cost-diff	0	(/.f64 (+.f64 i alpha) beta)
✓	cost-diff	384	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(*.f64 alpha i)
✓	cost-diff	0	(/.f64 (.f64 alpha i) (.f64 beta beta))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(.f64 (.f64 i i) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	128	(-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))

Rules

10 580×	`lower-fma.f32`
10 574×	`lower-fma.f64`
3 572×	`lower-*.f32`
3 548×	`lower-*.f64`
2 866×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	231
0	65	225
1	130	215
2	281	207
3	877	199
4	4047	199
5	6173	199
0	8340	191

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 i (.f64 i #s(literal 1/4 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(*.f64 i i)
i
#s(literal 1/4 binary64)
(-.f64 (.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))
(.f64 (.f64 i i) #s(literal 4 binary64))
(.f64 i (.f64 i #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 (.f64 alpha i) (.f64 beta beta))
(.f64 alpha (/.f64 i (.f64 beta beta)))
(*.f64 alpha i)
(*.f64 i alpha)
alpha
i
(*.f64 beta beta)
beta
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/.f64 (+.f64 i alpha) beta)
(+.f64 i alpha)
i
alpha
beta
(/.f64 i beta)
(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/.f64 (*.f64 i (+.f64 i alpha)) beta)
(*.f64 i (+.f64 i alpha))
i
(+.f64 i alpha)
alpha
beta
(/.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
(/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (.f64 beta (.f64 beta beta)))
(/.f64 (.f64 i (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -6 binary64) (fma.f64 alpha #s(literal -3 binary64) beta)))) (.f64 beta (.f64 beta beta)))
(fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i))))
(.f64 i (.f64 (+.f64 i alpha) (fma.f64 i #s(literal -6 binary64) (fma.f64 alpha #s(literal -3 binary64) beta))))
i
(.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))
(.f64 (+.f64 i alpha) (fma.f64 alpha #s(literal -3 binary64) (.f64 i #s(literal -6 binary64))))
(+.f64 alpha i)
(+.f64 i alpha)
alpha
(-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))
(fma.f64 alpha #s(literal -3 binary64) (*.f64 i #s(literal -6 binary64)))
(fma.f64 i #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
(fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))
(fma.f64 i #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) alpha))
#s(literal 8 binary64)
(*.f64 alpha #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) alpha)
#s(literal 4 binary64)
(.f64 beta (.f64 i (+.f64 alpha i)))
(.f64 i (.f64 beta (+.f64 i alpha)))
beta
(*.f64 i (+.f64 alpha i))
(*.f64 i (+.f64 i alpha))
(.f64 beta (.f64 beta beta))
(*.f64 beta beta)

localize157.0ms (1.2%)

Memory

4.8MiB live, 300.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))
✓	accuracy	89.0%	(.f64 beta (.f64 i (+.f64 alpha i)))
✓	accuracy	59.7%	(/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (.f64 beta (.f64 beta beta)))
✓	accuracy	59.2%	(fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i))))
✓	accuracy	100.0%	(+.f64 i alpha)
✓	accuracy	100.0%	(*.f64 i (+.f64 i alpha))
✓	accuracy	91.7%	(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
✓	accuracy	85.6%	(/.f64 (*.f64 i (+.f64 i alpha)) beta)
✓	accuracy	100.0%	(/.f64 i beta)
✓	accuracy	100.0%	(+.f64 i alpha)
✓	accuracy	100.0%	(/.f64 (+.f64 i alpha) beta)
✓	accuracy	99.6%	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	100.0%	(*.f64 alpha i)
✓	accuracy	89.1%	(/.f64 (.f64 alpha i) (.f64 beta beta))
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.7%	(.f64 (.f64 i i) #s(literal 1/4 binary64))
✓	accuracy	48.9%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)))

Samples

55.0ms	179×	0	valid
21.0ms	33×	2	valid
20.0ms	29×	3	valid
6.0ms	15×	1	valid

Compiler

Compiled 245 to 40 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 30.0ms (40.2% of total)

ival-sub: 14.0ms (18.8% of total)

ival-div: 12.0ms (16.1% of total)

ival-add: 9.0ms (12.1% of total)

adjust: 8.0ms (10.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series68.0ms (0.5%)

Memory

-7.3MiB live, 145.1MiB allocated

Counts

20 → 504

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt (.f64 alpha i) (patch (.f64 alpha i) #<representation binary64>) () ())
#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)) (patch (.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 i alpha) beta) (patch (/.f64 (+.f64 i alpha) beta) #<representation binary64>) () ())
#s(alt (+.f64 i alpha) (patch (+.f64 i alpha) #<representation binary64>) () ())
#s(alt (/.f64 i beta) (patch (/.f64 i beta) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)) (patch (.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 i (+.f64 i alpha)) beta) (patch (/.f64 (.f64 i (+.f64 i alpha)) beta) #<representation binary64>) () ())
#s(alt (.f64 i (+.f64 i alpha)) (patch (.f64 i (+.f64 i alpha)) #<representation binary64>) () ())
#s(alt (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (patch (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) (patch (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (fma.f64 i (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 i (+.f64 alpha i)))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (patch (.f64 (+.f64 alpha i) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) #s(literal 4 binary64)) (patch (.f64 (.f64 i i) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 beta (.f64 i (+.f64 alpha i))) (patch (.f64 beta (.f64 i (+.f64 alpha i))) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor 0 i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor inf i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor -inf i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor -inf i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor -inf i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (pow i 2) (taylor -inf i) (#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf alpha) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor 0 beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (/ (* alpha i) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (.f64 alpha i) (.f64 beta beta)) (patch (/.f64 (.f64 alpha i) (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (* alpha i) (taylor 0 alpha) (#s(alt (.f64 alpha i) (patch (.f64 alpha i) #<representation binary64>) () ())) ())
#s(alt (* alpha i) (taylor 0 alpha) (#s(alt (.f64 alpha i) (patch (.f64 alpha i) #<representation binary64>) () ())) ())
#s(alt (* alpha i) (taylor 0 alpha) (#s(alt (.f64 alpha i) (patch (.f64 alpha i) #<representation binary64>) () ())) ())
#s(alt (* alpha i) (taylor 0 alpha) (#s(alt (.f64 alpha i) (patch (.f64 alpha i) #<representation binary64>) () ())) ())
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#s(alt (* alpha (+ (* beta i) (/ (* beta (pow i 2)) alpha))) (taylor inf alpha) (#s(alt (.f64 beta (.f64 i (+.f64 alpha i))) (patch (.f64 beta (.f64 i (+.f64 alpha i))) #<representation binary64>) () ())) ())
#s(alt (* alpha (* beta i)) (taylor -inf alpha) (#s(alt (.f64 beta (.f64 i (+.f64 alpha i))) (patch (.f64 beta (.f64 i (+.f64 alpha i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ (* -1 (* beta i)) (* -1 (/ (* beta (pow i 2)) alpha))))) (taylor -inf alpha) (#s(alt (.f64 beta (.f64 i (+.f64 alpha i))) (patch (.f64 beta (.f64 i (+.f64 alpha i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ (* -1 (* beta i)) (* -1 (/ (* beta (pow i 2)) alpha))))) (taylor -inf alpha) (#s(alt (.f64 beta (.f64 i (+.f64 alpha i))) (patch (.f64 beta (.f64 i (+.f64 alpha i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ (* -1 (* beta i)) (* -1 (/ (* beta (pow i 2)) alpha))))) (taylor -inf alpha) (#s(alt (.f64 beta (.f64 i (+.f64 alpha i))) (patch (.f64 beta (.f64 i (+.f64 alpha i))) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
12.0ms	i	@	-inf	(+ (* i (* (+ alpha i) (- (+ (* i 2) alpha) (+ (* i 8) (* alpha 4))))) (* beta (* i (+ alpha i))))
9.0ms	i	@	inf	(+ (* i (* (+ alpha i) (- (+ (* i 2) alpha) (+ (* i 8) (* alpha 4))))) (* beta (* i (+ alpha i))))
6.0ms	alpha	@	-inf	(/ (* alpha i) (* beta beta))
2.0ms	alpha	@	-inf	(+ (* i (* (+ alpha i) (- (+ (* i 2) alpha) (+ (* i 8) (* alpha 4))))) (* beta (* i (+ alpha i))))
1.0ms	alpha	@	0	(/ (* alpha i) (* beta beta))

rewrite418.0ms (3.2%)

Memory

17.7MiB live, 614.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 400×	`lower-/.f32`
5 386×	`lower-/.f64`
5 344×	`lower-*.f32`
5 320×	`lower-*.f64`
2 930×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	176
0	65	172
1	254	162
2	2126	162
0	8745	160

Stop Event

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

Counts

20 → 1 164

Calls

Call 1

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

Outputs
(+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))
(+.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 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64)) (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))))
(-.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64)) (-.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.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 i (.f64 #s(literal 2 binary64) (.f64 i #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 i (.f64 (.f64 i #s(literal 4 binary64)) #s(literal 1 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 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 i (.f64 i #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 i #s(literal 2 binary64)) (.f64 i #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 i #s(literal 2 binary64)) i) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)) i #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (.f64 i #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 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 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 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 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 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)) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (*.f64 i #s(literal 4 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)) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64)) (-.f64 (.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 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 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 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 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))) (.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 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 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 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #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 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(.f64 (/.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 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 i (.f64 i #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 i i) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(neg.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 i i) (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 #s(literal 1 binary64) (/.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 i (*.f64 i #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 i (*.f64 i #s(literal 1/4 binary64)))) #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 i (*.f64 i #s(literal 1/4 binary64)))))))
(/.f64 (.f64 i (.f64 i #s(literal 1/4 binary64))) (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 i (*.f64 i #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 i (*.f64 i #s(literal 1/4 binary64)))) #s(literal 1 binary64))))
(/.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 i (.f64 i #s(literal 1/4 binary64))) #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 i (.f64 i #s(literal 1/4 binary64))) #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 i (*.f64 i #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 i (*.f64 i #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(.f64 i (.f64 (.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(.f64 i (/.f64 (.f64 i #s(literal 1/4 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 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i #s(literal 1/4 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 i i) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 i i) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 i (.f64 i #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 (.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 i (.f64 i #s(literal 1/4 binary64))))
(.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 i (.f64 i #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i i))
(.f64 #s(literal -1/4 binary64) (/.f64 (neg.f64 (.f64 i i)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 i i) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 (.f64 i i) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/4 binary64))) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/4 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 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/4 binary64))) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/4 binary64))) (fma.f64 (.f64 (.f64 i i) (.f64 i i)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 i #s(literal 1/4 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 i) #s(literal -1 binary64)) (/.f64 (.f64 i #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 alpha (fma.f64 i #s(literal 8 binary64) (.f64 #s(literal 4 binary64) alpha)))) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))))) (neg.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
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(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 #s(literal 4 binary64) alpha)) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 #s(literal 4 binary64) alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 #s(literal 4 binary64) alpha))))) (+.f64 i alpha))) (neg.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) (fma.f64 i #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) alpha))))))))
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(.f64 (+.f64 i alpha) (fma.f64 i #s(literal 2 binary64) (-.f64 alpha (fma.f64 i #s(literal 8 binary64) (.f64 #s(literal 4 binary64) alpha)))))
(.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 alpha (fma.f64 i #s(literal 8 binary64) (.f64 #s(literal 4 binary64) alpha)))) (+.f64 i alpha))
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 i (.f64 i #s(literal 4 binary64)))
(.f64 i (.f64 #s(literal 2 binary64) (*.f64 i #s(literal 2 binary64))))
(.f64 i (.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 i i) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 i i))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal 4 binary64))))
(.f64 #s(literal 2 binary64) (.f64 i (*.f64 i #s(literal 2 binary64))))
(.f64 (.f64 i #s(literal 2 binary64)) (*.f64 i #s(literal 2 binary64)))
(.f64 (.f64 i #s(literal 4 binary64)) i)
(.f64 (.f64 (*.f64 i #s(literal 2 binary64)) i) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)) i)
(+.f64 (.f64 beta (.f64 i i)) (.f64 beta (.f64 i alpha)))
(+.f64 (.f64 beta (.f64 i alpha)) (.f64 beta (.f64 i i)))
(+.f64 (.f64 (.f64 i beta) i) (.f64 (.f64 i beta) alpha))
(+.f64 (.f64 (.f64 i beta) alpha) (.f64 (.f64 i beta) i))
(+.f64 (.f64 (.f64 i i) beta) (.f64 (.f64 i alpha) beta))
(+.f64 (.f64 (.f64 i alpha) beta) (.f64 (.f64 i i) beta))
(+.f64 (.f64 i (.f64 i beta)) (.f64 alpha (.f64 i beta)))
(+.f64 (.f64 alpha (.f64 i beta)) (.f64 i (.f64 i beta)))
(fma.f64 i (.f64 i beta) (.f64 alpha (*.f64 i beta)))
(fma.f64 (.f64 i i) beta (.f64 (*.f64 i alpha) beta))
(fma.f64 alpha (.f64 i beta) (.f64 i (*.f64 i beta)))
(fma.f64 (.f64 i alpha) beta (.f64 (*.f64 i i) beta))
(fma.f64 beta (.f64 i i) (.f64 beta (*.f64 i alpha)))
(fma.f64 beta (.f64 i alpha) (.f64 beta (*.f64 i i)))
(fma.f64 (.f64 i beta) i (.f64 (*.f64 i beta) alpha))
(fma.f64 (.f64 i beta) alpha (.f64 (*.f64 i beta) i))
(/.f64 (.f64 (.f64 i beta) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 i (-.f64 i alpha) (.f64 alpha alpha)))
(/.f64 (.f64 (.f64 i beta) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 i i (.f64 alpha (-.f64 alpha i))))
(/.f64 (.f64 (.f64 i beta) (*.f64 (+.f64 i alpha) (-.f64 alpha i))) (-.f64 alpha i))
(/.f64 (.f64 (.f64 i beta) (*.f64 (+.f64 i alpha) (-.f64 i alpha))) (-.f64 i alpha))
(/.f64 (neg.f64 (.f64 (.f64 i beta) (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 beta) (fma.f64 i (.f64 i i) (.f64 alpha (.f64 alpha alpha))))) (neg.f64 (fma.f64 i i (.f64 alpha (-.f64 alpha i)))))
(/.f64 (neg.f64 (.f64 (.f64 i beta) (*.f64 (+.f64 i alpha) (-.f64 alpha i)))) (neg.f64 (-.f64 alpha i)))
(/.f64 (neg.f64 (.f64 (.f64 i beta) (*.f64 (+.f64 i alpha) (-.f64 i alpha)))) (neg.f64 (-.f64 i alpha)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(.f64 beta (.f64 i (+.f64 i alpha)))
(.f64 (+.f64 i alpha) (.f64 i beta))
(.f64 (.f64 i (+.f64 i alpha)) beta)
(.f64 (.f64 i beta) (+.f64 i alpha))
(.f64 (.f64 beta (+.f64 i alpha)) i)

simplify485.0ms (3.7%)

Memory

-29.0MiB live, 650.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 786×	`lower-fma.f64`
10 786×	`lower-fma.f32`
5 732×	`lower-*.f64`
5 732×	`lower-*.f32`
3 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	472	5786
1	1506	5259
2	5233	4907
0	8138	4704

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 498

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 i (.f64 i (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 i (.f64 i (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 i (.f64 i (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 i (.f64 i (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 i (.f64 i (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 i (.f64 i (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (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 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) #s(literal 1/16 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 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) #s(literal 1/16 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 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)
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(* alpha i)
(*.f64 i alpha)
(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 beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 i alpha))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 i alpha))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 i alpha))
(/ (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 i (fma.f64 i (/.f64 alpha (.f64 i (.f64 beta beta))) (/.f64 i (.f64 beta beta))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(.f64 i (fma.f64 i (/.f64 alpha (.f64 i (.f64 beta beta))) (/.f64 i (.f64 beta beta))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(.f64 i (fma.f64 i (/.f64 alpha (.f64 i (.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 i (fma.f64 i (/.f64 alpha (.f64 i (.f64 beta beta))) (/.f64 i (.f64 beta beta))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(.f64 i (fma.f64 i (/.f64 alpha (.f64 i (.f64 beta beta))) (/.f64 i (.f64 beta beta))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(.f64 i (fma.f64 i (/.f64 alpha (.f64 i (.f64 beta beta))) (/.f64 i (.f64 beta beta))))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 i alpha))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 i alpha))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 i alpha))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(neg.f64 (.f64 alpha (.f64 (/.f64 i (*.f64 beta beta)) (-.f64 #s(literal -1 binary64) (/.f64 i alpha)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(neg.f64 (.f64 alpha (.f64 (/.f64 i (*.f64 beta beta)) (-.f64 #s(literal -1 binary64) (/.f64 i alpha)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(neg.f64 (.f64 alpha (.f64 (/.f64 i (*.f64 beta beta)) (-.f64 #s(literal -1 binary64) (/.f64 i alpha)))))
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(neg.f64 (.f64 alpha (.f64 (/.f64 i (*.f64 beta beta)) (-.f64 #s(literal -1 binary64) (/.f64 i alpha)))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(neg.f64 (.f64 alpha (.f64 (/.f64 i (*.f64 beta beta)) (-.f64 #s(literal -1 binary64) (/.f64 i alpha)))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(neg.f64 (.f64 alpha (.f64 (/.f64 i (*.f64 beta beta)) (-.f64 #s(literal -1 binary64) (/.f64 i alpha)))))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ (* i (+ alpha i)) (pow beta 2))
(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
(/ alpha beta)
(/.f64 alpha beta)
(+ (/ alpha beta) (/ i beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 i alpha))
(+ (/ alpha beta) (/ i beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 i alpha))
(+ (/ alpha beta) (/ i beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 i alpha))
(/ i beta)
(/.f64 i beta)
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(fma.f64 i (/.f64 alpha (*.f64 i beta)) (/.f64 i beta))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(fma.f64 i (/.f64 alpha (*.f64 i beta)) (/.f64 i beta))
(* i (+ (/ 1 beta) (/ alpha (* beta i))))
(fma.f64 i (/.f64 alpha (*.f64 i beta)) (/.f64 i beta))
(/ i beta)
(/.f64 i beta)
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(fma.f64 i (/.f64 alpha (*.f64 i beta)) (/.f64 i beta))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(fma.f64 i (/.f64 alpha (*.f64 i beta)) (/.f64 i beta))
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))
(fma.f64 i (/.f64 alpha (*.f64 i beta)) (/.f64 i beta))
(/ i beta)
(/.f64 i beta)
(+ (/ alpha beta) (/ i beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 i alpha))
(+ (/ alpha beta) (/ i beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 i alpha))
(+ (/ alpha beta) (/ i beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 i alpha))
(/ alpha beta)
(/.f64 alpha beta)
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(fma.f64 alpha (/.f64 i (*.f64 alpha beta)) (/.f64 alpha beta))
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(fma.f64 alpha (/.f64 i (*.f64 alpha beta)) (/.f64 alpha beta))
(* alpha (+ (/ 1 beta) (/ i (* alpha beta))))
(fma.f64 alpha (/.f64 i (*.f64 alpha beta)) (/.f64 alpha beta))
(/ alpha beta)
(/.f64 alpha beta)
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(fma.f64 alpha (/.f64 i (*.f64 alpha beta)) (/.f64 alpha beta))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(fma.f64 alpha (/.f64 i (*.f64 alpha beta)) (/.f64 alpha beta))
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))
(fma.f64 alpha (/.f64 i (*.f64 alpha beta)) (/.f64 alpha beta))
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
(/ (+ alpha i) beta)
(/.f64 (+.f64 i alpha) beta)
alpha
(+ alpha i)
(+.f64 i alpha)
(+ alpha i)
(+.f64 i alpha)
(+ alpha i)
(+.f64 i alpha)
i
(* i (+ 1 (/ alpha i)))
(fma.f64 i (/.f64 alpha i) i)
(* i (+ 1 (/ alpha i)))
(fma.f64 i (/.f64 alpha i) i)
(* i (+ 1 (/ alpha i)))
(fma.f64 i (/.f64 alpha i) i)
i
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(*.f64 i (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha i))))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(*.f64 i (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha i))))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(*.f64 i (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha i))))
i
(+ alpha i)
(+.f64 i alpha)
(+ alpha i)
(+.f64 i alpha)
(+ alpha i)
(+.f64 i alpha)
alpha
(* alpha (+ 1 (/ i alpha)))
(fma.f64 alpha (/.f64 i alpha) alpha)
(* alpha (+ 1 (/ i alpha)))
(fma.f64 alpha (/.f64 i alpha) alpha)
(* alpha (+ 1 (/ i alpha)))
(fma.f64 alpha (/.f64 i alpha) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(neg.f64 (*.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 i alpha))))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(neg.f64 (*.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 i alpha))))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(neg.f64 (*.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 i alpha))))
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ i beta)
(/.f64 i beta)
(/ (* alpha i) (pow beta 2))
(.f64 i (/.f64 alpha (.f64 beta beta)))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 i alpha))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 i alpha))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(.f64 (/.f64 i (.f64 beta beta)) (+.f64 i alpha))
(/ (pow i 2) (pow beta 2))
(/.f64 (.f64 i i) (.f64 beta beta))
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(- (+ (* -3 alpha) (* 2 i)) (* 8 i))
(fma.f64 i #s(literal -6 binary64) (*.f64 alpha #s(literal -3 binary64)))
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(/ (* i (+ (* alpha beta) (* alpha (- alpha (* 4 alpha))))) (pow beta 3))
(/.f64 (.f64 i (.f64 alpha (fma.f64 alpha #s(literal -3 binary64) beta))) (.f64 beta (.f64 beta beta)))
(* i (+ (* i (- (+ (* -6 (/ alpha (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3)))) (* 4 (/ alpha (pow beta 3))))) (+ (/ alpha (pow beta 2)) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 3)))))
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(* i (+ (* i (- (+ (* -6 (/ alpha (pow beta 3))) (+ (* -6 (/ i (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3))))) (* 4 (/ alpha (pow beta 3))))) (+ (/ alpha (pow beta 2)) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 3)))))
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(* (pow i 3) (- (+ (* -6 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (* alpha (- alpha (* 4 alpha))) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))
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(* (pow i 3) (- (+ (* -6 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (* alpha (- alpha (* 4 alpha))) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))
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(* -6 (/ (pow i 3) (pow beta 3)))
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(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- alpha (* 4 alpha))) (* 6 alpha)) (pow beta 3))) (/ 1 (pow beta 2))) i)) (* 6 (/ 1 (pow beta 3))))))
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(/.f64 (.f64 (.f64 i i) (fma.f64 i #s(literal -6 binary64) beta)) (.f64 beta (.f64 beta beta)))
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(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (+ (* -3 i) (* 2 i)) (* 8 i))) (* alpha (pow beta 3))) (+ (/ (* (pow i 2) (- (* 2 i) (* 8 i))) (* (pow alpha 2) (pow beta 3))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
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(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ i (* alpha (pow beta 2))) (+ (/ (* i (- (+ (* -3 i) (* 2 i)) (* 8 i))) (* alpha (pow beta 3))) (+ (/ (* (pow i 2) (- (* 2 i) (* 8 i))) (* (pow alpha 2) (pow beta 3))) (/ (pow i 2) (* (pow alpha 2) (pow beta 2))))))))
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(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
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(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ i (pow beta 2))) (/ (* i (+ (* -1 (- (* 2 i) (* 8 i))) (* 3 i))) (pow beta 3))) alpha))))
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(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (* i (+ alpha i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* alpha (* beta i))
(.f64 i (.f64 alpha beta))
(* i (+ (* alpha beta) (* beta i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* i (+ (* alpha beta) (* beta i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* i (+ (* alpha beta) (* beta i)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* beta (pow i 2))
(.f64 i (.f64 i beta))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 i (.f64 i (fma.f64 alpha (/.f64 beta i) beta)))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 i (.f64 i (fma.f64 alpha (/.f64 beta i) beta)))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 i (.f64 i (fma.f64 alpha (/.f64 beta i) beta)))
(* beta (pow i 2))
(.f64 i (.f64 i beta))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 i (.f64 i (fma.f64 alpha (/.f64 beta i) beta)))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 i (.f64 i (fma.f64 alpha (/.f64 beta i) beta)))
(* (pow i 2) (+ beta (/ (* alpha beta) i)))
(.f64 i (.f64 i (fma.f64 alpha (/.f64 beta i) beta)))
(* beta (pow i 2))
(.f64 i (.f64 i beta))
(+ (* alpha (* beta i)) (* beta (pow i 2)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(+ (* alpha (* beta i)) (* beta (pow i 2)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(+ (* alpha (* beta i)) (* beta (pow i 2)))
(.f64 i (.f64 (+.f64 i alpha) beta))
(* alpha (* beta i))
(.f64 i (.f64 alpha beta))
(* alpha (+ (* beta i) (/ (* beta (pow i 2)) alpha)))
(.f64 alpha (.f64 beta (fma.f64 i (/.f64 i alpha) i)))
(* alpha (+ (* beta i) (/ (* beta (pow i 2)) alpha)))
(.f64 alpha (.f64 beta (fma.f64 i (/.f64 i alpha) i)))
(* alpha (+ (* beta i) (/ (* beta (pow i 2)) alpha)))
(.f64 alpha (.f64 beta (fma.f64 i (/.f64 i alpha) i)))
(* alpha (* beta i))
(.f64 i (.f64 alpha beta))
(* -1 (* alpha (+ (* -1 (* beta i)) (* -1 (/ (* beta (pow i 2)) alpha)))))
(.f64 alpha (.f64 beta (fma.f64 i (/.f64 i alpha) i)))
(* -1 (* alpha (+ (* -1 (* beta i)) (* -1 (/ (* beta (pow i 2)) alpha)))))
(.f64 alpha (.f64 beta (fma.f64 i (/.f64 i alpha) i)))
(* -1 (* alpha (+ (* -1 (* beta i)) (* -1 (/ (* beta (pow i 2)) alpha)))))
(.f64 alpha (.f64 beta (fma.f64 i (/.f64 i alpha) i)))

eval241.0ms (1.8%)

Memory: 44.7MiB live, 579.5MiB allocated
Compiler: Compiled 52 568 to 4 135 computations (92.1% saved)

prune341.0ms (2.6%)

Memory

-33.5MiB live, 437.7MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 744	9	1 753
Fresh	2	7	9
Picked	4	1	5
Done	0	1	1
Total	1 750	18	1 768

Accuracy

99.3%

Counts

1 768 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.2%	(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
	26.3%	(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
▶	11.5%	(/.f64 (*.f64 (/.f64 alpha beta) i) beta)
	3.5%	(/.f64 (.f64 (.f64 i i) (fma.f64 i #s(literal -6 binary64) beta)) (.f64 beta (.f64 beta beta)))
	9.8%	(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 i beta) (+.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))))
▶	15.6%	(/.f64 (.f64 i i) (.f64 beta beta))
✓	10.5%	(/.f64 (.f64 alpha i) (.f64 beta beta))
▶	76.1%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
	16.7%	(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
▶	19.4%	(.f64 (/.f64 (.f64 i i) beta) (/.f64 #s(literal 1 binary64) beta))
	18.0%	(.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 i (.f64 (+.f64 i beta) (+.f64 i beta))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))
▶	24.9%	(.f64 (/.f64 i beta) (/.f64 (fma.f64 (+.f64 i alpha) (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (+.f64 i alpha)) beta))
	25.2%	(*.f64 (/.f64 i beta) (/.f64 i beta))
	11.5%	(*.f64 (/.f64 i beta) (/.f64 alpha beta))
	26.3%	(.f64 (/.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 i alpha) (/.f64 i beta)))
	26.2%	(.f64 (.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal 1 binary64) beta))
	31.3%	(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	75.7%	#s(literal 1/16 binary64)

Compiler

Compiled 546 to 302 computations (44.7% saved)

simplify325.0ms (2.5%)

Memory

7.9MiB live, 637.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 i beta)
✓	cost-diff	64	(fma.f64 (+.f64 i alpha) (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))) beta) (+.f64 i alpha))
✓	cost-diff	512	(.f64 (/.f64 i beta) (/.f64 (fma.f64 (+.f64 i alpha) (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (+.f64 i alpha)) beta))
✓	cost-diff	576	(-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 (*.f64 i i) beta)
✓	cost-diff	704	(.f64 (/.f64 (.f64 i i) beta) (/.f64 #s(literal 1 binary64) beta))
✓	cost-diff	0	(/.f64 alpha beta)
✓	cost-diff	0	(*.f64 (/.f64 alpha beta) i)
✓	cost-diff	384	(/.f64 (*.f64 (/.f64 alpha beta) i) beta)
✓	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 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

10 934×	`lower-fma.f32`
10 930×	`lower-fma.f64`
3 256×	`lower--.f32`
3 254×	`lower--.f64`
3 148×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	196
0	52	194
1	98	191
2	234	191
3	692	166
4	2672	166
5	4699	166
0	8331	159

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

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 (.f64 i i) (.f64 beta beta))
(*.f64 i i)
i
(*.f64 beta beta)
beta
(/.f64 (*.f64 (/.f64 alpha beta) i) beta)
(/.f64 (.f64 i alpha) (.f64 beta beta))
(*.f64 (/.f64 alpha beta) i)
(/.f64 (*.f64 i alpha) beta)
(/.f64 alpha beta)
alpha
beta
i
(.f64 (/.f64 (.f64 i i) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (.f64 i i) (.f64 beta beta))
(/.f64 (*.f64 i i) beta)
(*.f64 i (/.f64 i beta))
(*.f64 i i)
i
beta
(/.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
(.f64 (/.f64 i beta) (/.f64 (fma.f64 (+.f64 i alpha) (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (+.f64 i alpha)) beta))
(/.f64 (.f64 (+.f64 i alpha) (fma.f64 (/.f64 i beta) (fma.f64 i #s(literal -6 binary64) (.f64 alpha #s(literal -3 binary64))) i)) (*.f64 beta beta))
(/.f64 i beta)
i
beta
(/.f64 (fma.f64 (+.f64 i alpha) (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))) beta) (+.f64 i alpha)) beta)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal -6 binary64) (.f64 alpha #s(literal -3 binary64))) beta)) (/.f64 (+.f64 i alpha) beta))
(fma.f64 (+.f64 i alpha) (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))) beta) (+.f64 i alpha))
(.f64 (+.f64 i alpha) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal -6 binary64) (.f64 alpha #s(literal -3 binary64))) beta)))
(+.f64 i alpha)
alpha
(/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))) beta)
(/.f64 (fma.f64 i #s(literal -6 binary64) (*.f64 alpha #s(literal -3 binary64))) beta)
(-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))
(fma.f64 i #s(literal -6 binary64) (*.f64 alpha #s(literal -3 binary64)))
(+.f64 i (+.f64 i alpha))
(fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))
#s(literal 8 binary64)
(*.f64 alpha #s(literal 4 binary64))
#s(literal 4 binary64)

localize173.0ms (1.3%)

Memory

16.3MiB live, 211.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (/.f64 i beta) (/.f64 (fma.f64 (+.f64 i alpha) (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (+.f64 i alpha)) beta))
✓	accuracy	99.3%	(-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))
✓	accuracy	98.9%	(/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))) beta)
✓	accuracy	91.4%	(/.f64 (fma.f64 (+.f64 i alpha) (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))) beta) (+.f64 i alpha)) beta)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	91.7%	(.f64 (/.f64 (.f64 i i) beta) (/.f64 #s(literal 1 binary64) beta))
✓	accuracy	86.0%	(/.f64 (*.f64 i i) beta)
✓	accuracy	100.0%	(/.f64 alpha beta)
✓	accuracy	99.8%	(/.f64 (*.f64 (/.f64 alpha beta) i) beta)
✓	accuracy	84.0%	(*.f64 (/.f64 alpha beta) i)
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	73.6%	(/.f64 (.f64 i i) (.f64 beta beta))
✓	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	98.6%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))

Samples

44.0ms	33×	2	valid
35.0ms	179×	0	valid
17.0ms	29×	3	valid
6.0ms	15×	1	valid

Compiler

Compiled 207 to 33 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 41.0ms (52.8% of total)

ival-div: 18.0ms (23.2% of total)

ival-add: 9.0ms (11.6% of total)

adjust: 7.0ms (9% of total)

ival-sub: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

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

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

series59.0ms (0.5%)

Memory

-14.7MiB live, 58.2MiB allocated

Counts

17 → 420

Calls

Call 1

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

Outputs
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
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#s(alt (* alpha (- (* 2 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 3 (/ 1 beta))))) (taylor inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (* 2 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 3 (/ 1 beta))))) (taylor inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (* 2 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 3 (/ 1 beta))))) (taylor inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ alpha beta)) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ (* -1 (/ (- (* 2 (/ i beta)) (* 8 (/ i beta))) alpha)) (* 3 (/ 1 beta))))) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ (* -1 (/ (- (* 2 (/ i beta)) (* 8 (/ i beta))) alpha)) (* 3 (/ 1 beta))))) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ (* -1 (/ (- (* 2 (/ i beta)) (* 8 (/ i beta))) alpha)) (* 3 (/ 1 beta))))) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor 0 beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor 0 beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor 0 beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor 0 beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor inf beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor inf beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor inf beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor inf beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor -inf beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor -inf beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor -inf beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta) (taylor -inf beta) (#s(alt (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) (patch (/.f64 (-.f64 (+.f64 i (+.f64 i alpha)) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))) beta) #<representation binary64>) () ())) ())

Calls

105 calls:

Time	Variable		Point	Expression
22.0ms	i	@	0	(* (/ i beta) (/ (+ (* (+ i alpha) (/ (- (+ i (+ i alpha)) (+ (* i 8) (* alpha 4))) beta)) (+ i alpha)) beta))
1.0ms	i	@	-inf	(* (/ i beta) (/ (+ (* (+ i alpha) (/ (- (+ i (+ i alpha)) (+ (* i 8) (* alpha 4))) beta)) (+ i alpha)) beta))
1.0ms	alpha	@	0	(* (/ i beta) (/ (+ (* (+ i alpha) (/ (- (+ i (+ i alpha)) (+ (* i 8) (* alpha 4))) beta)) (+ i alpha)) beta))
1.0ms	alpha	@	-inf	(* (/ i beta) (/ (+ (* (+ i alpha) (/ (- (+ i (+ i alpha)) (+ (* i 8) (* alpha 4))) beta)) (+ i alpha)) beta))
1.0ms	beta	@	inf	(* (/ i beta) (/ (+ (* (+ i alpha) (/ (- (+ i (+ i alpha)) (+ (* i 8) (* alpha 4))) beta)) (+ i alpha)) beta))

rewrite413.0ms (3.2%)

Memory

23.4MiB live, 691.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 074×	`lower-fma.f32`
5 070×	`lower-fma.f64`
4 516×	`lower-/.f32`
4 498×	`lower-/.f64`
3 978×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
0	52	155
1	224	148
2	2138	148
0	8432	142

Stop Event

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

Counts

17 → 875

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(-.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)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (-.f64 (/.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) (*.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))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (.f64 #s(literal 8 binary64) (.f64 i #s(literal 8 binary64))) #s(literal -1 binary64)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 i (.f64 i #s(literal 8 binary64))) #s(literal -1 binary64)) #s(literal 1/16 binary64))
(fma.f64 (pow.f64 (.f64 i #s(literal 8 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 i #s(literal 8 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 i #s(literal 8 binary64)) i) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/16 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 i #s(literal 8 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 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 #s(literal -1 binary64) (neg.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))))))))
(/.f64 #s(literal -1 binary64) (neg.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)))))))
(/.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 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (neg.f64 (+.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 (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)))
(/.f64 (neg.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 (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 (neg.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i i) (.f64 i i))) #s(literal 1/256 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (fma.f64 (/.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)))) (/.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)))) (.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))))))))
(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)))))
(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) (.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 binary64) (neg.f64 (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i))))
(/.f64 #s(literal -1/64 binary64) (neg.f64 (*.f64 i i)))
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(/.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta)) (.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))) beta)))
(/.f64 (.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) #s(literal 1 binary64)) beta)
(/.f64 (.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) #s(literal -1 binary64)) (neg.f64 beta))
(/.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))))))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) beta)) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))))
(/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i alpha)) (neg.f64 (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))) (neg.f64 beta))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (.f64 beta (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) (.f64 beta (neg.f64 beta)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))))) beta)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) #s(literal -1 binary64))) (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))))) (neg.f64 beta))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (neg.f64 beta))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))))) (neg.f64 (neg.f64 (neg.f64 beta))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 beta (.f64 beta beta))) (/.f64 (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (.f64 beta (.f64 beta beta))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (fma.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))) beta))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta)) (.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta) (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta)))) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))) beta))))
(/.f64 (neg.f64 (.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) #s(literal 1 binary64))) (neg.f64 beta))
(/.f64 (neg.f64 (.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) #s(literal -1 binary64))) (neg.f64 (neg.f64 beta)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) beta))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) beta))) (neg.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))))
(/.f64 (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 beta (.f64 beta beta))) (pow.f64 (neg.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (-.f64 (.f64 (neg.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta)) (neg.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (neg.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) beta))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (.f64 i #s(literal 8 binary64)))) beta) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 alpha #s(literal 4 binary64)) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (.f64 i #s(literal 8 binary64)))) beta) (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (.f64 i #s(literal 8 binary64)))) beta) (fma.f64 (/.f64 (.f64 alpha #s(literal 4 binary64)) beta) (/.f64 (.f64 alpha #s(literal 4 binary64)) beta) (.f64 (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (.f64 i #s(literal 8 binary64)))) beta) (/.f64 (*.f64 alpha #s(literal 4 binary64)) beta)))))
(pow.f64 (/.f64 beta (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 beta (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta))
(.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) beta) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) beta))
(.f64 (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta) #s(literal 1 binary64))
(.f64 (neg.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) (/.f64 #s(literal -1 binary64) beta))
(.f64 (.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(.f64 (pow.f64 (/.f64 beta (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))))))
(.f64 (pow.f64 (/.f64 beta (.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) beta) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))) beta) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64)))))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))))) beta) (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) (.f64 (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))))))
(.f64 (/.f64 (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) beta) (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) (+.f64 (+.f64 i alpha) (+.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64)))))))
(.f64 (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (.f64 alpha #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) beta))

simplify527.0ms (4%)

Memory

30.6MiB live, 743.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 336×	`lower-fma.f64`
10 336×	`lower-fma.f32`
5 748×	`lower-*.f64`
5 748×	`lower-*.f32`
3 548×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	5554
1	1439	4799
2	5040	4775
0	8091	4523

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ 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))))
(/ 1/64 (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)
(/ (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 beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) (pow beta 2))
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ (* alpha i) beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ alpha beta)
(/ (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 i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ (pow i 2) beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(- alpha (* 4 alpha))
(- (+ alpha (* -6 i)) (* 4 alpha))
(- (+ alpha (* -6 i)) (* 4 alpha))
(- (+ alpha (* -6 i)) (* 4 alpha))
(* -6 i)
(* i (- (/ alpha i) (+ 6 (* 4 (/ alpha i)))))
(* i (- (/ alpha i) (+ 6 (* 4 (/ alpha i)))))
(* i (- (/ alpha i) (+ 6 (* 4 (/ alpha i)))))
(* -6 i)
(* -1 (* i (+ 6 (* -1 (/ (- alpha (* 4 alpha)) i)))))
(* -1 (* i (+ 6 (* -1 (/ (- alpha (* 4 alpha)) i)))))
(* -1 (* i (+ 6 (* -1 (/ (- alpha (* 4 alpha)) i)))))
(- (* 2 i) (* 8 i))
(- (+ (* -3 alpha) (* 2 i)) (* 8 i))
(- (+ (* -3 alpha) (* 2 i)) (* 8 i))
(- (+ (* -3 alpha) (* 2 i)) (* 8 i))
(* -3 alpha)
(* alpha (- (* 2 (/ i alpha)) (+ 3 (* 8 (/ i alpha)))))
(* alpha (- (* 2 (/ i alpha)) (+ 3 (* 8 (/ i alpha)))))
(* alpha (- (* 2 (/ i alpha)) (+ 3 (* 8 (/ i alpha)))))
(* -3 alpha)
(* -1 (* alpha (+ 3 (* -1 (/ (- (* 2 i) (* 8 i)) alpha)))))
(* -1 (* alpha (+ 3 (* -1 (/ (- (* 2 i) (* 8 i)) alpha)))))
(* -1 (* alpha (+ 3 (* -1 (/ (- (* 2 i) (* 8 i)) alpha)))))
(/ (* i (+ alpha (/ (* alpha (- alpha (* 4 alpha))) beta))) (pow beta 2))
(* i (+ (* i (- (+ (* -6 (/ alpha (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3)))) (* 4 (/ alpha (pow beta 3))))) (+ (/ alpha (pow beta 2)) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 3)))))
(* i (+ (* i (- (+ (* -6 (/ alpha (pow beta 3))) (+ (* -6 (/ i (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3))))) (* 4 (/ alpha (pow beta 3))))) (+ (/ alpha (pow beta 2)) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 3)))))
(* i (+ (* i (- (+ (* -6 (/ alpha (pow beta 3))) (+ (* -6 (/ i (pow beta 3))) (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 3))))) (* 4 (/ alpha (pow beta 3))))) (+ (/ alpha (pow beta 2)) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 3)))))
(* -6 (/ (pow i 3) (pow beta 3)))
(* (pow i 3) (- (+ (* -6 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (/ alpha (* (pow beta 3) i)))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))
(* (pow i 3) (- (+ (* -6 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (* alpha (- alpha (* 4 alpha))) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))
(* (pow i 3) (- (+ (* -6 (/ alpha (* (pow beta 3) i))) (+ (/ 1 (* (pow beta 2) i)) (+ (/ alpha (* (pow beta 2) (pow i 2))) (+ (/ alpha (* (pow beta 3) i)) (/ (* alpha (- alpha (* 4 alpha))) (* (pow beta 3) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))))
(* -6 (/ (pow i 3) (pow beta 3)))
(* -1 (* (pow i 3) (- (+ (* -1 (/ (- alpha (* 4 alpha)) (* (pow beta 3) i))) (+ (* 6 (/ alpha (* (pow beta 3) i))) (* 6 (/ 1 (pow beta 3))))) (/ 1 (* (pow beta 2) i)))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (- alpha (* 4 alpha)) (pow beta 3))) (* 6 (/ alpha (pow beta 3)))) (/ 1 (pow beta 2)))) (+ (/ alpha (* (pow beta 2) i)) (/ (* alpha (- alpha (* 4 alpha))) (* (pow beta 3) i)))) i)) (* 6 (/ 1 (pow beta 3))))))
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (- alpha (* 4 alpha)) (pow beta 3))) (* 6 (/ alpha (pow beta 3)))) (/ 1 (pow beta 2)))) (+ (/ alpha (* (pow beta 2) i)) (/ (* alpha (- alpha (* 4 alpha))) (* (pow beta 3) i)))) i)) (* 6 (/ 1 (pow beta 3))))))
(/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) (pow beta 3))
(/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))))) (pow beta 3))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) beta)) (pow beta 2))
(/ (* i (+ i (/ (* i (- (* 2 i) (* 8 i))) beta))) (pow beta 2))
(+ (/ (* alpha (* i (- (+ 1 (+ (* -3 (/ i beta)) (* 2 (/ i beta)))) (* 8 (/ i beta))))) (pow beta 2)) (/ (* i (+ i (/ (* i (- (* 2 i) (* 8 i))) beta))) (pow beta 2)))
(+ (* alpha (+ (* -3 (/ (* alpha i) (pow beta 3))) (/ (* i (- (+ 1 (+ (* -3 (/ i beta)) (* 2 (/ i beta)))) (* 8 (/ i beta)))) (pow beta 2)))) (/ (* i (+ i (/ (* i (- (* 2 i) (* 8 i))) beta))) (pow beta 2)))
(+ (* alpha (+ (* -3 (/ (* alpha i) (pow beta 3))) (/ (* i (- (+ 1 (+ (* -3 (/ i beta)) (* 2 (/ i beta)))) (* 8 (/ i beta)))) (pow beta 2)))) (/ (* i (+ i (/ (* i (- (* 2 i) (* 8 i))) beta))) (pow beta 2)))
(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (/ (* i (- (+ 1 (+ (* -3 (/ i beta)) (* 2 (/ i beta)))) (* 8 (/ i beta)))) (* alpha (pow beta 2)))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ (* i (+ i (/ (* i (- (* 2 i) (* 8 i))) beta))) (* (pow alpha 2) (pow beta 2))) (/ (* i (- (+ 1 (+ (* -3 (/ i beta)) (* 2 (/ i beta)))) (* 8 (/ i beta)))) (* alpha (pow beta 2))))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (+ (/ (* i (+ i (/ (* i (- (* 2 i) (* 8 i))) beta))) (* (pow alpha 2) (pow beta 2))) (/ (* i (- (+ 1 (+ (* -3 (/ i beta)) (* 2 (/ i beta)))) (* 8 (/ i beta)))) (* alpha (pow beta 2))))))
(* -3 (/ (* (pow alpha 2) i) (pow beta 3)))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (* i (- (+ (* -1 (/ (- (* 2 i) (* 8 i)) beta)) (* 3 (/ i beta))) 1)) (* alpha (pow beta 2))))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ (* i (+ i (/ (* i (- (* 2 i) (* 8 i))) beta))) (* alpha (pow beta 2)))) (/ (* i (- (+ (* -1 (/ (- (* 2 i) (* 8 i)) beta)) (* 3 (/ i beta))) 1)) (pow beta 2))) alpha))))
(* (pow alpha 2) (+ (* -3 (/ i (pow beta 3))) (* -1 (/ (+ (* -1 (/ (* i (+ i (/ (* i (- (* 2 i) (* 8 i))) beta))) (* alpha (pow beta 2)))) (/ (* i (- (+ (* -1 (/ (- (* 2 i) (* 8 i)) beta)) (* 3 (/ i beta))) 1)) (pow beta 2))) alpha))))
(+ alpha (/ (* alpha (- alpha (* 4 alpha))) beta))
(+ alpha (+ (* i (- (+ 1 (+ (* -6 (/ alpha beta)) (/ alpha beta))) (* 4 (/ alpha beta)))) (/ (* alpha (- alpha (* 4 alpha))) beta)))
(+ alpha (+ (* i (- (+ 1 (+ (* -6 (/ alpha beta)) (+ (* -6 (/ i beta)) (/ alpha beta)))) (* 4 (/ alpha beta)))) (/ (* alpha (- alpha (* 4 alpha))) beta)))
(+ alpha (+ (* i (- (+ 1 (+ (* -6 (/ alpha beta)) (+ (* -6 (/ i beta)) (/ alpha beta)))) (* 4 (/ alpha beta)))) (/ (* alpha (- alpha (* 4 alpha))) beta)))
(* -6 (/ (pow i 2) beta))
(* (pow i 2) (- (+ (* -6 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 4 (/ alpha (* beta i))) (* 6 (/ 1 beta)))))
(* (pow i 2) (- (+ (* -6 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 4 alpha))) (* beta (pow i 2))))))) (+ (* 4 (/ alpha (* beta i))) (* 6 (/ 1 beta)))))
(* (pow i 2) (- (+ (* -6 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 4 alpha))) (* beta (pow i 2))))))) (+ (* 4 (/ alpha (* beta i))) (* 6 (/ 1 beta)))))
(* -6 (/ (pow i 2) beta))
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (- alpha (* 4 alpha)) beta)) (* 6 (/ alpha beta))) 1) i)) (* 6 (/ 1 beta))))
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (+ alpha (/ (* alpha (- alpha (* 4 alpha))) beta)) i)) (+ (* -1 (/ (- alpha (* 4 alpha)) beta)) (* 6 (/ alpha beta)))) 1) i)) (* 6 (/ 1 beta))))
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (+ alpha (/ (* alpha (- alpha (* 4 alpha))) beta)) i)) (+ (* -1 (/ (- alpha (* 4 alpha)) beta)) (* 6 (/ alpha beta)))) 1) i)) (* 6 (/ 1 beta))))
(+ i (/ (* i (- (* 2 i) (* 8 i))) beta))
(+ i (+ (* alpha (- (+ 1 (+ (* -3 (/ i beta)) (* 2 (/ i beta)))) (* 8 (/ i beta)))) (/ (* i (- (* 2 i) (* 8 i))) beta)))
(+ i (+ (* alpha (- (+ 1 (+ (* -3 (/ alpha beta)) (+ (* -3 (/ i beta)) (* 2 (/ i beta))))) (* 8 (/ i beta)))) (/ (* i (- (* 2 i) (* 8 i))) beta)))
(+ i (+ (* alpha (- (+ 1 (+ (* -3 (/ alpha beta)) (+ (* -3 (/ i beta)) (* 2 (/ i beta))))) (* 8 (/ i beta)))) (/ (* i (- (* 2 i) (* 8 i))) beta)))
(* -3 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (+ (* -3 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ 1 alpha))) (+ (* 3 (/ 1 beta)) (* 8 (/ i (* alpha beta))))))
(* (pow alpha 2) (- (+ (* -3 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 alpha) (+ (/ i (pow alpha 2)) (/ (* i (- (* 2 i) (* 8 i))) (* (pow alpha 2) beta)))))) (+ (* 3 (/ 1 beta)) (* 8 (/ i (* alpha beta))))))
(* (pow alpha 2) (- (+ (* -3 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 alpha) (+ (/ i (pow alpha 2)) (/ (* i (- (* 2 i) (* 8 i))) (* (pow alpha 2) beta)))))) (+ (* 3 (/ 1 beta)) (* 8 (/ i (* alpha beta))))))
(* -3 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 i) (* 8 i)) beta)) (* 3 (/ i beta))) 1) alpha)) (* 3 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ i (/ (* i (- (* 2 i) (* 8 i))) beta)) alpha)) (+ (* -1 (/ (- (* 2 i) (* 8 i)) beta)) (* 3 (/ i beta)))) 1) alpha)) (* 3 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ i (/ (* i (- (* 2 i) (* 8 i))) beta)) alpha)) (+ (* -1 (/ (- (* 2 i) (* 8 i)) beta)) (* 3 (/ i beta)))) 1) alpha)) (* 3 (/ 1 beta))))
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta)
(/ (+ (* beta (+ alpha i)) (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) beta)
(/ (+ (* beta (+ alpha i)) (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) beta)
(/ (+ (* beta (+ alpha i)) (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) beta)
(+ alpha i)
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta)))
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta)))
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta)))
(+ alpha i)
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta)))
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta)))
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta)))
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ i beta)
(/ (+ alpha (/ (* alpha (- alpha (* 4 alpha))) beta)) beta)
(+ (* i (- (+ (* -6 (/ alpha (pow beta 2))) (+ (/ 1 beta) (/ alpha (pow beta 2)))) (* 4 (/ alpha (pow beta 2))))) (+ (/ alpha beta) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 2))))
(+ (* i (- (+ (* -6 (/ alpha (pow beta 2))) (+ (* -6 (/ i (pow beta 2))) (+ (/ 1 beta) (/ alpha (pow beta 2))))) (* 4 (/ alpha (pow beta 2))))) (+ (/ alpha beta) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 2))))
(+ (* i (- (+ (* -6 (/ alpha (pow beta 2))) (+ (* -6 (/ i (pow beta 2))) (+ (/ 1 beta) (/ alpha (pow beta 2))))) (* 4 (/ alpha (pow beta 2))))) (+ (/ alpha beta) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 2))))
(* -6 (/ (pow i 2) (pow beta 2)))
(* (pow i 2) (- (+ (* -6 (/ alpha (* (pow beta 2) i))) (+ (/ 1 (* beta i)) (/ alpha (* (pow beta 2) i)))) (+ (* 4 (/ alpha (* (pow beta 2) i))) (* 6 (/ 1 (pow beta 2))))))
(* (pow i 2) (- (+ (* -6 (/ alpha (* (pow beta 2) i))) (+ (/ 1 (* beta i)) (+ (/ alpha (* beta (pow i 2))) (+ (/ alpha (* (pow beta 2) i)) (/ (* alpha (- alpha (* 4 alpha))) (* (pow beta 2) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 2) i))) (* 6 (/ 1 (pow beta 2))))))
(* (pow i 2) (- (+ (* -6 (/ alpha (* (pow beta 2) i))) (+ (/ 1 (* beta i)) (+ (/ alpha (* beta (pow i 2))) (+ (/ alpha (* (pow beta 2) i)) (/ (* alpha (- alpha (* 4 alpha))) (* (pow beta 2) (pow i 2))))))) (+ (* 4 (/ alpha (* (pow beta 2) i))) (* 6 (/ 1 (pow beta 2))))))
(* -6 (/ (pow i 2) (pow beta 2)))
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (- alpha (* 4 alpha)) (pow beta 2))) (* 6 (/ alpha (pow beta 2)))) (/ 1 beta)) i)) (* 6 (/ 1 (pow beta 2)))))
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (+ (/ alpha beta) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 2))) i)) (+ (* -1 (/ (- alpha (* 4 alpha)) (pow beta 2))) (* 6 (/ alpha (pow beta 2))))) (/ 1 beta)) i)) (* 6 (/ 1 (pow beta 2)))))
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (+ (/ alpha beta) (/ (* alpha (- alpha (* 4 alpha))) (pow beta 2))) i)) (+ (* -1 (/ (- alpha (* 4 alpha)) (pow beta 2))) (* 6 (/ alpha (pow beta 2))))) (/ 1 beta)) i)) (* 6 (/ 1 (pow beta 2)))))
(/ (+ i (/ (* i (- (* 2 i) (* 8 i))) beta)) beta)
(+ (* alpha (- (+ (* -3 (/ i (pow beta 2))) (+ (* 2 (/ i (pow beta 2))) (/ 1 beta))) (* 8 (/ i (pow beta 2))))) (+ (/ i beta) (/ (* i (- (* 2 i) (* 8 i))) (pow beta 2))))
(+ (* alpha (- (+ (* -3 (/ alpha (pow beta 2))) (+ (* -3 (/ i (pow beta 2))) (+ (* 2 (/ i (pow beta 2))) (/ 1 beta)))) (* 8 (/ i (pow beta 2))))) (+ (/ i beta) (/ (* i (- (* 2 i) (* 8 i))) (pow beta 2))))
(+ (* alpha (- (+ (* -3 (/ alpha (pow beta 2))) (+ (* -3 (/ i (pow beta 2))) (+ (* 2 (/ i (pow beta 2))) (/ 1 beta)))) (* 8 (/ i (pow beta 2))))) (+ (/ i beta) (/ (* i (- (* 2 i) (* 8 i))) (pow beta 2))))
(* -3 (/ (pow alpha 2) (pow beta 2)))
(* (pow alpha 2) (- (+ (* -3 (/ i (* alpha (pow beta 2)))) (+ (* 2 (/ i (* alpha (pow beta 2)))) (/ 1 (* alpha beta)))) (+ (* 8 (/ i (* alpha (pow beta 2)))) (* 3 (/ 1 (pow beta 2))))))
(* (pow alpha 2) (- (+ (* -3 (/ i (* alpha (pow beta 2)))) (+ (* 2 (/ i (* alpha (pow beta 2)))) (+ (/ 1 (* alpha beta)) (+ (/ i (* (pow alpha 2) beta)) (/ (* i (- (* 2 i) (* 8 i))) (* (pow alpha 2) (pow beta 2))))))) (+ (* 8 (/ i (* alpha (pow beta 2)))) (* 3 (/ 1 (pow beta 2))))))
(* (pow alpha 2) (- (+ (* -3 (/ i (* alpha (pow beta 2)))) (+ (* 2 (/ i (* alpha (pow beta 2)))) (+ (/ 1 (* alpha beta)) (+ (/ i (* (pow alpha 2) beta)) (/ (* i (- (* 2 i) (* 8 i))) (* (pow alpha 2) (pow beta 2))))))) (+ (* 8 (/ i (* alpha (pow beta 2)))) (* 3 (/ 1 (pow beta 2))))))
(* -3 (/ (pow alpha 2) (pow beta 2)))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 i) (* 8 i)) (pow beta 2))) (* 3 (/ i (pow beta 2)))) (/ 1 beta)) alpha)) (* 3 (/ 1 (pow beta 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ (/ i beta) (/ (* i (- (* 2 i) (* 8 i))) (pow beta 2))) alpha)) (+ (* -1 (/ (- (* 2 i) (* 8 i)) (pow beta 2))) (* 3 (/ i (pow beta 2))))) (/ 1 beta)) alpha)) (* 3 (/ 1 (pow beta 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ (/ i beta) (/ (* i (- (* 2 i) (* 8 i))) (pow beta 2))) alpha)) (+ (* -1 (/ (- (* 2 i) (* 8 i)) (pow beta 2))) (* 3 (/ i (pow beta 2))))) (/ 1 beta)) alpha)) (* 3 (/ 1 (pow beta 2)))))
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) (pow beta 2))
(/ (+ (* beta (+ alpha i)) (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) (pow beta 2))
(/ (+ (* beta (+ alpha i)) (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) (pow beta 2))
(/ (+ (* beta (+ alpha i)) (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))))) (pow beta 2))
(/ (+ alpha i) beta)
(/ (+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta))) beta)
(/ (+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta))) beta)
(/ (+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta))) beta)
(/ (+ alpha i) beta)
(* -1 (/ (+ (* -1 (+ alpha i)) (* -1 (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta))) beta))
(* -1 (/ (+ (* -1 (+ alpha i)) (* -1 (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta))) beta))
(* -1 (/ (+ (* -1 (+ alpha i)) (* -1 (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i)))) beta))) beta))
(/ (- alpha (* 4 alpha)) beta)
(- (+ (* -6 (/ i beta)) (/ alpha beta)) (* 4 (/ alpha beta)))
(- (+ (* -6 (/ i beta)) (/ alpha beta)) (* 4 (/ alpha beta)))
(- (+ (* -6 (/ i beta)) (/ alpha beta)) (* 4 (/ alpha beta)))
(* -6 (/ i beta))
(* i (- (/ alpha (* beta i)) (+ (* 4 (/ alpha (* beta i))) (* 6 (/ 1 beta)))))
(* i (- (/ alpha (* beta i)) (+ (* 4 (/ alpha (* beta i))) (* 6 (/ 1 beta)))))
(* i (- (/ alpha (* beta i)) (+ (* 4 (/ alpha (* beta i))) (* 6 (/ 1 beta)))))
(* -6 (/ i beta))
(* -1 (* i (+ (* -1 (/ (- (/ alpha beta) (* 4 (/ alpha beta))) i)) (* 6 (/ 1 beta)))))
(* -1 (* i (+ (* -1 (/ (- (/ alpha beta) (* 4 (/ alpha beta))) i)) (* 6 (/ 1 beta)))))
(* -1 (* i (+ (* -1 (/ (- (/ alpha beta) (* 4 (/ alpha beta))) i)) (* 6 (/ 1 beta)))))
(/ (- (* 2 i) (* 8 i)) beta)
(- (+ (* -3 (/ alpha beta)) (* 2 (/ i beta))) (* 8 (/ i beta)))
(- (+ (* -3 (/ alpha beta)) (* 2 (/ i beta))) (* 8 (/ i beta)))
(- (+ (* -3 (/ alpha beta)) (* 2 (/ i beta))) (* 8 (/ i beta)))
(* -3 (/ alpha beta))
(* alpha (- (* 2 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 3 (/ 1 beta)))))
(* alpha (- (* 2 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 3 (/ 1 beta)))))
(* alpha (- (* 2 (/ i (* alpha beta))) (+ (* 8 (/ i (* alpha beta))) (* 3 (/ 1 beta)))))
(* -3 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- (* 2 (/ i beta)) (* 8 (/ i beta))) alpha)) (* 3 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- (* 2 (/ i beta)) (* 8 (/ i beta))) alpha)) (* 3 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- (* 2 (/ i beta)) (* 8 (/ i beta))) alpha)) (* 3 (/ 1 beta)))))
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)
(/ (- (+ alpha (* 2 i)) (+ (* 4 alpha) (* 8 i))) beta)

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

eval238.0ms (1.8%)

Memory: -36.9MiB live, 376.6MiB allocated
Compiler: Compiled 35 023 to 3 003 computations (91.4% saved)

prune190.0ms (1.5%)

Memory

26.2MiB live, 378.9MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 328	13	1 341
Fresh	4	7	11
Picked	2	3	5
Done	1	1	2
Total	1 335	24	1 359

Accuracy

99.3%

Counts

1 359 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.2%	(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
	19.4%	(/.f64 (/.f64 (*.f64 i i) beta) beta)
	24.9%	(/.f64 (.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))) beta) #s(literal 1 binary64)) (+.f64 i alpha)) beta) (neg.f64 i)) (neg.f64 beta))
	26.3%	(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
	24.9%	(/.f64 (.f64 (/.f64 i beta) (.f64 (+.f64 (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))) beta) #s(literal 1 binary64)) (+.f64 i alpha))) beta)
	3.5%	(/.f64 (.f64 (.f64 i i) (fma.f64 i #s(literal -6 binary64) beta)) (.f64 beta (.f64 beta beta)))
	9.8%	(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 i beta) (+.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))))
	15.9%	(/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta))
✓	15.6%	(/.f64 (.f64 i i) (.f64 beta beta))
	11.5%	(/.f64 (*.f64 alpha (/.f64 i beta)) beta)
	4.0%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	76.1%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	19.4%	(.f64 (/.f64 (.f64 i i) beta) (/.f64 #s(literal 1 binary64) beta))
	18.0%	(.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (/.f64 (.f64 i (.f64 (+.f64 i beta) (+.f64 i beta))) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))))
	16.3%	(.f64 (/.f64 i (.f64 beta beta)) i)
	26.1%	(.f64 (/.f64 i beta) (/.f64 (fma.f64 (+.f64 i alpha) (/.f64 (.f64 alpha #s(literal -3 binary64)) beta) (+.f64 i alpha)) beta))
	23.7%	(.f64 (/.f64 i beta) (/.f64 (fma.f64 i (/.f64 (.f64 i #s(literal -6 binary64)) beta) i) beta))
	11.8%	(.f64 (/.f64 i beta) (/.f64 (fma.f64 alpha (.f64 (/.f64 alpha beta) #s(literal -3 binary64)) alpha) beta))
	25.2%	(*.f64 (/.f64 i beta) (/.f64 i beta))
	25.1%	(.f64 (.f64 (/.f64 i beta) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal 1 binary64) beta))
	25.1%	(.f64 (.f64 (/.f64 i beta) i) (/.f64 #s(literal 1 binary64) beta))
	19.0%	(.f64 i (/.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (+.f64 i alpha) (-.f64 i (fma.f64 i #s(literal 8 binary64) (*.f64 alpha #s(literal 4 binary64))))) beta) #s(literal 1 binary64)) (+.f64 i alpha)) beta) beta))
	31.3%	(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	75.7%	#s(literal 1/16 binary64)

Compiler

Compiled 1 278 to 410 computations (67.9% saved)

regimes115.0ms (0.9%)

Memory

-29.5MiB live, 106.7MiB allocated

Counts

47 → 2

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	i
36.0ms	alpha
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)))
13.0ms	beta

Results

Accuracy	Segments	Branch
79.7%	2	`alpha`
86.2%	2	`beta`
85.9%	2	`i`
81.8%	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)

regimes11.0ms (0.1%)

Memory

-15.2MiB live, 23.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	beta
4.0ms	i

Results

Accuracy	Segments	Branch
76.1%	1	`i`
85.4%	2	`beta`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms

beta

3.0ms

(/.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
76.1%	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)))`
80.9%	2	`beta`

Compiler

Compiled 60 to 20 computations (66.7% saved)

regimes4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
80.2%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-24.1MiB live, 14.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	i
2.0ms	beta
2.0ms	alpha

Results

Accuracy	Segments	Branch
76.1%	1	`i`
76.1%	1	`alpha`
76.1%	1	`beta`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Memory

17.1MiB live, 17.1MiB allocated

Accuracy

Total -46.1b remaining (-297%)

Threshold costs -46.1b (-297%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1/16 binary64)

Calls

4 calls:

1.0ms	(/.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)))
1.0ms	beta
1.0ms	i
1.0ms	alpha

Results

Accuracy	Segments	Branch
75.7%	1	`alpha`
75.7%	1	`beta`
75.7%	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)))`
75.7%	1	`i`

Compiler

Compiled 68 to 26 computations (61.8% saved)

bsearch20.0ms (0.2%)

Memory

1.2MiB live, 39.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.1220573531079722e+226	1.6595041554288618e+229

Samples

13.0ms

128×

valid

Compiler

Compiled 251 to 159 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (42.6% of total)

ival-mult: 3.0ms (31.9% of total)

ival-sub: 1.0ms (10.6% of total)

ival-div: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1220573531079722e+226	1.6595041554288618e+229

Compiler

Compiled 235 to 143 computations (39.1% saved)

bsearch19.0ms (0.1%)

Memory

-14.6MiB live, 27.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.1220573531079722e+226	1.6595041554288618e+229

Samples

13.0ms

112×

valid

Compiler

Compiled 235 to 151 computations (35.7% saved)

Precisions

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

ival-add: 5.0ms (50.3% of total)

ival-mult: 3.0ms (30.2% of total)

ival-sub: 1.0ms (10.1% of total)

ival-div: 1.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1220573531079722e+226	1.6595041554288618e+229

Compiler

Compiled 235 to 151 computations (35.7% saved)

simplify7.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	82
1	31	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 48000000000000004456006577857113556650736725717624370127256666300923245479345398361614227780362366020612700868714931374918668546168516706065382841225939139905243502482393412226035372140275216301778215174483538002475878625312768 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
(if (<=.f64 beta #s(literal 48000000000000004456006577857113556650736725717624370127256666300923245479345398361614227780362366020612700868714931374918668546168516706065382841225939139905243502482393412226035372140275216301778215174483538002475878625312768 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 (/.f64 i beta) (/.f64 i beta)))
(if (<=.f64 beta #s(literal 14499999999999999073706610925439031776802423156316778291528656458792789768628238962712007318978882915622809715506091256116705244119416036266189667874265846308492993786610482762624892739886738505696759094597821577049236918205677568 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 (/.f64 i beta) (/.f64 alpha beta)))
(if (<=.f64 beta #s(literal 14499999999999999073706610925439031776802423156316778291528656458792789768628238962712007318978882915622809715506091256116705244119416036266189667874265846308492993786610482762624892739886738505696759094597821577049236918205677568 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 (/.f64 i (*.f64 beta beta)) i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)

Outputs
(if (<=.f64 beta #s(literal 48000000000000004456006577857113556650736725717624370127256666300923245479345398361614227780362366020612700868714931374918668546168516706065382841225939139905243502482393412226035372140275216301778215174483538002475878625312768 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
(if (<=.f64 beta #s(literal 48000000000000004456006577857113556650736725717624370127256666300923245479345398361614227780362366020612700868714931374918668546168516706065382841225939139905243502482393412226035372140275216301778215174483538002475878625312768 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 (/.f64 i beta) (/.f64 i beta)))
(if (<=.f64 beta #s(literal 14499999999999999073706610925439031776802423156316778291528656458792789768628238962712007318978882915622809715506091256116705244119416036266189667874265846308492993786610482762624892739886738505696759094597821577049236918205677568 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 (/.f64 i beta) (/.f64 alpha beta)))
(if (<=.f64 beta #s(literal 14499999999999999073706610925439031776802423156316778291528656458792789768628238962712007318978882915622809715506091256116705244119416036266189667874265846308492993786610482762624892739886738505696759094597821577049236918205677568 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 (/.f64 i (*.f64 beta beta)) i))
(if (<=.f64 beta #s(literal 14499999999999999073706610925439031776802423156316778291528656458792789768628238962712007318978882915622809715506091256116705244119416036266189667874265846308492993786610482762624892739886738505696759094597821577049236918205677568 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i (/.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)

soundness1.1s (8.7%)

Memory

27.0MiB live, 888.1MiB allocated

Rules

10 786×	`lower-fma.f64`
10 786×	`lower-fma.f32`
9 052×	`lower-fma.f64`
9 052×	`lower-fma.f32`
7 406×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
0	52	155
1	224	148
2	2138	148
0	8432	142
0	42	329
0	78	278
1	397	266
2	3855	266
0	8688	260
0	472	5786
1	1506	5259
2	5233	4907
0	8138	4704
0	1076	12354
1	3790	11572
0	8143	10751
0	35	176
0	65	172
1	254	162
2	2126	162
0	8745	160
0	2104	22074
1	7318	22070
0	8547	20361

Stop Event

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

Compiler

Compiled 471 to 266 computations (43.5% saved)

preprocess97.0ms (0.7%)

Memory: 0.8MiB live, 119.8MiB allocated
Compiler: Compiled 328 to 116 computations (64.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze22.0ms (0.2%)

sample1.5s (11.2%)

preprocess929.0ms (7.1%)

explain387.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify595.0ms (4.6%)

localize100.0ms (0.8%)

series94.0ms (0.7%)

rewrite516.0ms (4%)

simplify550.0ms (4.2%)

eval160.0ms (1.2%)

prune181.0ms (1.4%)

simplify287.0ms (2.2%)

localize183.0ms (1.4%)

series157.0ms (1.2%)

rewrite334.0ms (2.6%)

simplify583.0ms (4.5%)

eval488.0ms (3.7%)

prune526.0ms (4%)

simplify428.0ms (3.3%)

localize157.0ms (1.2%)

series68.0ms (0.5%)

rewrite418.0ms (3.2%)

simplify485.0ms (3.7%)

eval241.0ms (1.8%)

prune341.0ms (2.6%)

simplify325.0ms (2.5%)

localize173.0ms (1.3%)

series59.0ms (0.5%)

rewrite413.0ms (3.2%)

simplify527.0ms (4%)

eval238.0ms (1.8%)

prune190.0ms (1.5%)

regimes115.0ms (0.9%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch19.0ms (0.1%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.1s (8.7%)

preprocess97.0ms (0.7%)

end0.0ms (0%)

Profiling