Metrics for Octave 3.8, jcobi/2

analyze71.0ms (0.6%)

Memory

-5.9MiB live, 71.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

sample1.7s (13%)

Memory

37.7MiB live, 2 613.9MiB allocated

Samples

707.0ms	6 605×	0	valid
341.0ms	1 209×	1	valid
129.0ms	442×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 867.0ms

ival-div: 233.0ms (26.9% of total)

ival-add: 206.0ms (23.8% of total)

ival-mult: 132.0ms (15.2% of total)

adjust: 119.0ms (13.7% of total)

ival->: 90.0ms (10.4% of total)

ival-sub: 50.0ms (5.8% of total)

exact: 17.0ms (2% of total)

ival-and: 16.0ms (1.8% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess710.0ms (5.6%)

Memory

-129.8MiB live, 581.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 848×	`lower-fma.f64`
16 848×	`lower-fma.f32`
3 846×	`lower-+.f32`
3 838×	`lower-+.f64`
3 552×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	269
1	186	263
2	682	263
3	3464	261
0	15	29
0	25	29
1	43	29
2	118	29
3	486	29
4	2368	29
5	3813	29
6	5109	29
0	8083	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

explain221.0ms (1.7%)

Memory

41.7MiB live, 432.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
88	-	4	(-1.446396589554246e-308 -1.8767635391755027e-161 7.446658621247198e-28)	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
64	-	0	-	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
0	-	0	-	`beta`
0	-	0	-	`(+.f64 alpha beta)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`alpha`
0	-	0	-	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`
0	-	0	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`i`
0	-	0	-	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	0	-	`(-.f64 beta alpha)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	77	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	77
`+.f64`	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	64	0

Confusion

	Predicted +	Predicted -
+	106	0
-	0	150

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	106	0	0
-	0	0	150

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	150
1	71
2	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	392×	0	valid
22.0ms	94×	1	valid
8.0ms	26×	2	valid

Compiler

Compiled 334 to 64 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 14.0ms (32.5% of total)

ival-add: 12.0ms (27.9% of total)

ival-mult: 7.0ms (16.3% of total)

adjust: 5.0ms (11.6% of total)

ival-sub: 3.0ms (7% of total)

exact: 1.0ms (2.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

60.0%

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

Compiler

Compiled 32 to 15 computations (53.1% saved)

simplify703.0ms (5.6%)

Memory

18.5MiB live, 793.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

16 848×	`lower-fma.f64`
16 848×	`lower-fma.f32`
3 846×	`lower-+.f32`
3 838×	`lower-+.f64`
3 552×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	133
0	25	133
1	43	133
2	118	133
3	486	133
4	2368	133
5	3813	133
6	5109	133
0	8083	122

Stop Event

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

Calls

Call 1

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

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

localize54.0ms (0.4%)

Memory

-21.4MiB live, 137.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
✓	accuracy	99.9%	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
✓	accuracy	77.1%	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	accuracy	68.7%	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

20.0ms	196×	0	valid
9.0ms	47×	1	valid
4.0ms	13×	2	valid

Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 8.0ms (35.9% of total)

ival-div: 6.0ms (26.9% of total)

ival-mult: 3.0ms (13.5% of total)

adjust: 2.0ms (9% of total)

ival-sub: 2.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series75.0ms (0.6%)

Memory

-3.5MiB live, 115.1MiB allocated

Counts

6 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
19.0ms	alpha	@	0	(/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i)))
4.0ms	alpha	@	0	(+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1)
3.0ms	alpha	@	inf	(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)
3.0ms	i	@	inf	(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)
2.0ms	alpha	@	0	(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2))

rewrite431.0ms (3.4%)

Memory

24.1MiB live, 588.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 612×	`lower-/.f32`
5 606×	`lower-/.f64`
5 576×	`lower-*.f32`
5 572×	`lower-*.f64`
3 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	110
0	25	110
1	125	110
2	1197	110
0	8707	100

Stop Event

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

Counts

6 → 364

Calls

Call 1

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

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

simplify460.0ms (3.6%)

Memory

-18.0MiB live, 718.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 562×	`lower-fma.f64`
6 562×	`lower-fma.f32`
6 328×	`lower-*.f64`
6 328×	`lower-*.f32`
5 518×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	967	13190
1	3283	11526
0	9161	10389

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 198

Calls

Call 1

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

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

eval165.0ms (1.3%)

Memory: -29.2MiB live, 212.1MiB allocated
Compiler: Compiled 33 929 to 2 812 computations (91.7% saved)

prune115.0ms (0.9%)

Memory

24.0MiB live, 220.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	627	11	638
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	628	11	639

Accuracy

100.0%

Counts

639 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.1%	(fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	21.5%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64))
	59.9%	(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	76.8%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	24.5%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) alpha) #s(literal 2 binary64))
	59.4%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	3.6%	(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	26.7%	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
	62.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	31.4%	#s(literal 1 binary64)
▶	59.6%	#s(literal 1/2 binary64)

Compiler

Compiled 468 to 278 computations (40.6% saved)

simplify407.0ms (3.2%)

Memory

24.4MiB live, 697.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))
✓	cost-diff	0	(*.f64 alpha alpha)
✓	cost-diff	0	(/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
✓	cost-diff	128	(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
✓	cost-diff	512	(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	192	(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 alpha beta)
✓	cost-diff	0	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))

Rules

16 410×	`lower-fma.f32`
16 398×	`lower-fma.f64`
5 770×	`lower-*.f32`
5 762×	`lower-*.f64`
2 404×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	231
0	62	231
1	114	231
2	275	229
3	872	225
4	3346	223
5	5739	223
0	8070	222

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (1.2%)

Memory

-20.6MiB live, 251.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 alpha alpha)
✓	accuracy	100.0%	(*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))
✓	accuracy	99.8%	(fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	86.1%	(/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
✓	accuracy	100.0%	(*.f64 i #s(literal 4 binary64))
✓	accuracy	100.0%	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
✓	accuracy	99.7%	(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
✓	accuracy	99.9%	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
✓	accuracy	99.8%	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))

Samples

64.0ms	186×	0	valid
43.0ms	70×	1	exit

Compiler

Compiled 266 to 39 computations (85.3% saved)

Precisions

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

ival-add: 14.0ms (29.9% of total)

ival-mult: 13.0ms (27.8% of total)

ival-div: 10.0ms (21.4% of total)

adjust: 6.0ms (12.8% of total)

ival-sub: 2.0ms (4.3% of total)

exact: 1.0ms (2.1% of total)

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

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

series142.0ms (1.1%)

Memory

5.6MiB live, 137.3MiB allocated

Counts

16 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
31.0ms	i	@	0	(+ (* (/ (* alpha alpha) (* (+ (* 2 i) alpha) (- -2 (+ (* 2 i) alpha)))) 1/2) 1/2)
10.0ms	i	@	0	(/ (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (+ alpha (+ beta (+ (* 2 i) 2))))
7.0ms	beta	@	inf	(/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))
4.0ms	beta	@	-inf	(/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha)
1.0ms	beta	@	0	(/ (/ (- beta alpha) (+ alpha (+ (* 2 i) beta))) (+ alpha (+ beta (+ (* 2 i) 2))))

rewrite382.0ms (3%)

Memory

13.8MiB live, 609.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 744×	`lower-/.f32`
4 734×	`lower-/.f64`
4 416×	`lower-*.f32`
4 408×	`lower-*.f64`
2 914×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	170
0	62	170
1	289	170
2	2659	170
0	8690	167

Stop Event

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

Counts

16 → 453

Calls

Call 1

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

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

simplify432.0ms (3.4%)

Memory

16.5MiB live, 760.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 976×	`lower-*.f64`
5 976×	`lower-*.f32`
5 312×	`lower-fma.f64`
5 312×	`lower-fma.f32`
3 866×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1480	16050
1	5098	14769
0	8283	13362

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 364

Calls

Call 1

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

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

eval171.0ms (1.4%)

Memory: -7.3MiB live, 296.0MiB allocated
Compiler: Compiled 33 390 to 3 174 computations (90.5% saved)

prune298.0ms (2.4%)

Memory

3.3MiB live, 299.6MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	805	12	817
Fresh	2	4	6
Picked	3	2	5
Done	0	0	0
Total	810	18	828

Accuracy

100.0%

Counts

828 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.1%	(fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	56.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	26.7%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))
▶	21.5%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64))
▶	50.6%	(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
	59.9%	(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	59.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	75.8%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	76.1%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	24.5%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) alpha) #s(literal 2 binary64))
	24.0%	(/.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha)
	19.2%	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha)
	11.3%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
	7.2%	(/.f64 beta alpha)
	62.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	31.4%	#s(literal 1 binary64)
✓	59.6%	#s(literal 1/2 binary64)
▶	3.6%	#s(literal 0 binary64)

Compiler

Compiled 635 to 380 computations (40.2% saved)

simplify393.0ms (3.1%)

Memory

-8.7MiB live, 582.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
✓	cost-diff	704	(/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))))
✓	cost-diff	0	(fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) beta)
✓	cost-diff	128	(-.f64 #s(literal -2 binary64) (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
✓	cost-diff	384	(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 alpha #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 alpha beta)
✓	cost-diff	0	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	384	(/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))

Rules

11 320×	`lower-fma.f32`
11 306×	`lower-fma.f64`
3 598×	`lower-*.f32`
3 594×	`lower-*.f64`
3 112×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	334
0	72	324
1	135	322
2	314	300
3	1307	297
4	4197	296
0	8463	293

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (1.4%)

Memory

37.8MiB live, 385.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))))
✓	accuracy	76.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
✓	accuracy	64.9%	(/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -2 binary64) (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
✓	accuracy	100.0%	(*.f64 i #s(literal 4 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) beta)
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	65.3%	(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
✓	accuracy	100.0%	(/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))

Samples

46.0ms	160×	0	valid
41.0ms	62×	1	valid
27.0ms	32×	2	valid
2.0ms	2×	5	exit

Compiler

Compiled 369 to 46 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 24.0ms (29.5% of total)

ival-add: 23.0ms (28.3% of total)

ival-mult: 14.0ms (17.2% of total)

adjust: 12.0ms (14.7% of total)

ival-sub: 7.0ms (8.6% of total)

exact: 1.0ms (1.2% of total)

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

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

series118.0ms (0.9%)

Memory

-8.6MiB live, 146.9MiB allocated

Counts

20 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
29.0ms	beta	@	inf	(/ (/ beta (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))
16.0ms	alpha	@	inf	(+ (* 1/2 (/ (- -2 (+ (* alpha 2) (* i 4))) beta)) 1)
7.0ms	beta	@	inf	(+ (* (+ alpha beta) (/ (/ beta (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) 1)
1.0ms	i	@	0	(/ (+ (* (+ alpha beta) (/ (/ beta (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))) 1) 2)
1.0ms	i	@	0	(/ (/ beta (+ (* 2 i) beta)) (+ alpha (+ beta (+ (* 2 i) 2))))

rewrite361.0ms (2.9%)

Memory

-25.5MiB live, 591.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 572×	`lower-/.f32`
4 552×	`lower-/.f64`
3 602×	`lower-*.f32`
3 598×	`lower-*.f64`
2 846×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	253
0	71	243
1	361	217
2	3718	217
0	8339	217

Stop Event

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

Counts

20 → 688

Calls

Call 1

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

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

simplify663.0ms (5.2%)

Memory

-16.1MiB live, 559.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 944×	`lower-*.f64`
6 944×	`lower-*.f32`
5 634×	`lower-fma.f64`
5 634×	`lower-fma.f32`
4 022×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2086	20979
1	7140	20949
0	8264	19048

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 534

Calls

Call 1

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

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

eval302.0ms (2.4%)

Memory: 21.1MiB live, 251.5MiB allocated
Compiler: Compiled 57 927 to 5 214 computations (91% saved)

prune357.0ms (2.8%)

Memory

5.2MiB live, 325.5MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 315	7	1 322
Fresh	0	11	11
Picked	4	1	5
Done	0	2	2
Total	1 319	21	1 340

Accuracy

100.0%

Counts

1 340 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.1%	(fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	56.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.5%	(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
	26.7%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))
▶	23.6%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i #s(literal -4 binary64)) beta) #s(literal 1 binary64))
	26.3%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))
	21.7%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
	59.9%	(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	75.8%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	75.9%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	24.5%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) alpha) #s(literal 2 binary64))
	24.0%	(/.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha)
	19.2%	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha)
▶	11.3%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
	7.2%	(/.f64 beta alpha)
	16.4%	(/.f64 #s(literal 1 binary64) alpha)
	62.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
▶	31.4%	#s(literal 1 binary64)
✓	59.6%	#s(literal 1/2 binary64)
✓	3.6%	#s(literal 0 binary64)

Compiler

Compiled 651 to 402 computations (38.2% saved)

simplify400.0ms (3.2%)

Memory

4.1MiB live, 803.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha)))
✓	cost-diff	0	(*.f64 i #s(literal -4 binary64))
✓	cost-diff	0	(/.f64 (*.f64 i #s(literal -4 binary64)) beta)
✓	cost-diff	320	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i #s(literal -4 binary64)) beta) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) i)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
✓	cost-diff	0	(+.f64 alpha beta)
✓	cost-diff	0	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	384	(/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta)))

Rules

19 706×	`lower-fma.f32`
19 694×	`lower-fma.f64`
4 388×	`lower-*.f32`
4 380×	`lower-*.f64`
2 912×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	194
0	52	193
1	100	192
2	231	189
3	644	189
4	1923	189
5	4703	189
0	8226	188

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (1%)

Memory

-27.6MiB live, 260.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha)))
✓	accuracy	74.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	72.6%	(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i #s(literal -4 binary64)) beta) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 i #s(literal -4 binary64)) beta)
✓	accuracy	100.0%	(*.f64 i #s(literal -4 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
✓	accuracy	100.0%	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta)))

Samples

45.0ms	186×	0	valid
23.0ms	54×	1	valid
8.0ms	16×	2	valid

Compiler

Compiled 220 to 34 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 20.0ms (37.8% of total)

ival-div: 13.0ms (24.6% of total)

ival-mult: 13.0ms (24.6% of total)

adjust: 5.0ms (9.4% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

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

series74.0ms (0.6%)

Memory

-6.8MiB live, 113.3MiB allocated

Counts

15 → 360

Calls

Call 1

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

Calls

90 calls:

Time	Variable		Point	Expression
17.0ms	i	@	-inf	(+ (* (+ alpha beta) (/ (/ beta (+ (* 2 i) beta)) (+ 2 (+ (* i 2) beta)))) 1)
13.0ms	alpha	@	inf	(/ (* 2 i) alpha)
2.0ms	i	@	-inf	(* i -4)
1.0ms	i	@	0	(/ (+ (* (+ alpha beta) (/ (/ beta (+ (* 2 i) beta)) (+ 2 (+ (* i 2) beta)))) 1) 2)
1.0ms	i	@	0	(/ (/ beta (+ (* 2 i) beta)) (+ 2 (+ (* i 2) beta)))

rewrite465.0ms (3.7%)

Memory

29.2MiB live, 503.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 026×	`lower-/.f32`
5 012×	`lower-/.f64`
4 368×	`lower-*.f32`
4 360×	`lower-*.f64`
3 874×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	153
0	52	152
1	259	148
2	1984	148
0	8721	148

Stop Event

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

Counts

15 → 582

Calls

Call 1

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

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

simplify597.0ms (4.7%)

Memory

8.3MiB live, 523.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 978×	`lower-fma.f64`
9 978×	`lower-fma.f32`
8 286×	`lower-*.f64`
8 286×	`lower-*.f32`
4 414×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1046	8621
1	3612	8389
0	8999	7701

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 352

Calls

Call 1

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

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

eval135.0ms (1.1%)

Memory: -4.6MiB live, 262.6MiB allocated
Compiler: Compiled 28 466 to 3 196 computations (88.8% saved)

prune143.0ms (1.1%)

Memory

-4.7MiB live, 320.8MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	931	3	934
Fresh	1	12	13
Picked	1	4	5
Done	0	3	3
Total	933	22	955

Accuracy

100.0%

Counts

955 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.1%	(fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	23.6%	(fma.f64 (/.f64 i beta) #s(literal -2 binary64) #s(literal 1 binary64))
✓	56.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	59.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 i #s(literal -4 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.5%	(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
	26.7%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))
	26.3%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))
	21.7%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
	59.9%	(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	75.8%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	75.9%	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	24.5%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) alpha) #s(literal 2 binary64))
	24.0%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64))) alpha)
	19.2%	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha)
✓	11.3%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
	7.2%	(/.f64 beta alpha)
	16.4%	(/.f64 #s(literal 1 binary64) alpha)
	62.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
✓	31.4%	#s(literal 1 binary64)
✓	59.6%	#s(literal 1/2 binary64)
✓	3.6%	#s(literal 0 binary64)

Compiler

Compiled 852 to 359 computations (57.9% saved)

regimes67.0ms (0.5%)

Memory

21.5MiB live, 138.5MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

11.0ms	(*.f64 #s(literal 2 binary64) i)
10.0ms	beta
9.0ms	i
9.0ms	alpha
8.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
92.1%	2	`alpha`
76.8%	1	`beta`
76.8%	1	`i`
97.5%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.5%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.5%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
76.8%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes23.0ms (0.2%)

Memory

-0.7MiB live, 38.9MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
96.9%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.9%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.9%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes21.0ms (0.2%)

Memory

-2.4MiB live, 36.5MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
96.9%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.9%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.9%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes20.0ms (0.2%)

Memory

-3.4MiB live, 35.5MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
96.9%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.9%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.9%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes20.0ms (0.2%)

Memory

-3.8MiB live, 35.0MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
95.6%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.6%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
95.6%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes20.0ms (0.2%)

Memory

-11.0MiB live, 30.6MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
95.6%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.6%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
95.6%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes17.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

6.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
95.3%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.3%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
95.3%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes19.0ms (0.2%)

Memory

-12.3MiB live, 24.9MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

#s(literal 1/2 binary64)

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

Calls

3 calls:

8.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
95.3%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.3%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
95.3%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes23.0ms (0.2%)

Memory

-1.8MiB live, 35.0MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

#s(literal 1/2 binary64)

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

Calls

4 calls:

7.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms	alpha
5.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
4.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
80.7%	2	`alpha`
92.4%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.4%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.4%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 94 to 44 computations (53.2% saved)

regimes19.0ms (0.2%)

Memory

-11.8MiB live, 24.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

#s(literal 1/2 binary64)

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
91.7%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.7%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.7%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes12.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
91.7%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.7%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.7%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes15.0ms (0.1%)

Memory

-26.6MiB live, 17.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
83.8%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
83.8%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
83.8%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes14.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))

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

Calls

7 calls:

2.0ms	(*.f64 #s(literal 2 binary64) i)
2.0ms	beta
2.0ms	alpha
2.0ms	i
2.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.6%	1	`i`
59.6%	1	`(*.f64 #s(literal 2 binary64) i)`
70.1%	2	`beta`
59.6%	1	`alpha`
73.9%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
73.9%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
73.9%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes14.0ms (0.1%)

Memory

-17.6MiB live, 21.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)

Calls

7 calls:

5.0ms	(*.f64 #s(literal 2 binary64) i)
2.0ms	i
2.0ms	alpha
2.0ms	beta
1.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.6%	1	`alpha`
59.6%	1	`i`
59.6%	1	`(*.f64 #s(literal 2 binary64) i)`
59.6%	1	`beta`
59.6%	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
59.6%	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
59.6%	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes9.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

7 calls:

1.0ms	(*.f64 #s(literal 2 binary64) i)
1.0ms	alpha
1.0ms	i
1.0ms	beta
1.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
3.6%	1	`beta`
3.6%	1	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
3.6%	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
3.6%	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
3.6%	1	`alpha`
3.6%	1	`i`
3.6%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 108 to 55 computations (49.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999999	-0.9968803214977321

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9968803214977321	-2.4514251124844577e-14

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9968803214977321	-2.4514251124844577e-14

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9968803214977321	-2.4514251124844577e-14

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.7512318448138014e-36	0.12662416669108095
0.0ms	-0.9999999999999999	-0.9968803214977321

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.7512318448138014e-36	0.12662416669108095
0.0ms	-0.9999999999999999	-0.9968803214977321

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.7512318448138014e-36	0.12662416669108095
0.0ms	-0.9999999999999999	-0.9968803214977321

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.7512318448138014e-36	0.12662416669108095
0.0ms	-0.9968803214977321	-2.4514251124844577e-14

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.7512318448138014e-36	0.12662416669108095
0.0ms	-0.9968803214977321	-2.4514251124844577e-14

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.12662416669108095	0.9999999999980685
0.0ms	-0.9968803214977321	-2.4514251124844577e-14

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.12662416669108095	0.9999999999980685
0.0ms	-0.9968803214977321	-2.4514251124844577e-14

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.12662416669108095	0.9999999999980685
0.0ms	-0.9999999999999999	-0.9968803214977321

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.12662416669108095	0.9999999999980685

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify16.0ms (0.1%)

Memory

-14.9MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative_binary64`
18×	`*-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	934
1	125	934
2	131	934
3	135	934
4	137	934

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 i #s(literal -4 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 i #s(literal 2 binary64))) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 i #s(literal 2 binary64))) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 i #s(literal 2 binary64))) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

Outputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 alpha alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 i #s(literal -4 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 i #s(literal -4 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 i #s(literal 2 binary64))) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 i #s(literal 2 binary64))) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 i #s(literal 2 binary64))) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

soundness1.3s (9.9%)

Memory

0.8MiB live, 1 070.4MiB allocated

Rules

9 978×	`lower-fma.f64`
9 978×	`lower-fma.f32`
8 286×	`lower-*.f64`
8 286×	`lower-*.f32`
6 944×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	110
0	25	110
1	125	110
2	1197	110
0	8707	100
0	2086	20979
1	7140	20949
0	8264	19048
0	1480	16050
1	5098	14769
0	8283	13362
0	33	170
0	62	170
1	289	170
2	2659	170
0	8690	167
0	967	13190
1	3283	11526
0	9161	10389
0	1046	8621
1	3612	8389
0	8999	7701

Stop Event

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

Compiler

Compiled 1 529 to 525 computations (65.7% saved)

preprocess128.0ms (1%)

Memory: 13.6MiB live, 132.5MiB allocated
Compiler: Compiled 1 938 to 222 computations (88.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze71.0ms (0.6%)

sample1.7s (13%)

preprocess710.0ms (5.6%)

explain221.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify703.0ms (5.6%)

localize54.0ms (0.4%)

series75.0ms (0.6%)

rewrite431.0ms (3.4%)

simplify460.0ms (3.6%)

eval165.0ms (1.3%)

prune115.0ms (0.9%)

simplify407.0ms (3.2%)

localize152.0ms (1.2%)

series142.0ms (1.1%)

rewrite382.0ms (3%)

simplify432.0ms (3.4%)

eval171.0ms (1.4%)

prune298.0ms (2.4%)

simplify393.0ms (3.1%)

localize173.0ms (1.4%)

series118.0ms (0.9%)

rewrite361.0ms (2.9%)

simplify663.0ms (5.2%)

eval302.0ms (2.4%)

prune357.0ms (2.8%)

simplify400.0ms (3.2%)

localize125.0ms (1%)

series74.0ms (0.6%)

rewrite465.0ms (3.7%)

simplify597.0ms (4.7%)

eval135.0ms (1.1%)

prune143.0ms (1.1%)

regimes67.0ms (0.5%)

regimes23.0ms (0.2%)

regimes21.0ms (0.2%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes17.0ms (0.1%)

regimes19.0ms (0.2%)

regimes23.0ms (0.2%)

regimes19.0ms (0.2%)

regimes12.0ms (0.1%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness1.3s (9.9%)

preprocess128.0ms (1%)

end0.0ms (0%)

Profiling