Metrics for Octave 3.8, jcobi/2

analyze46.0ms (0.3%)

Memory

-19.3MiB live, 100.2MiB 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)

sample1.9s (14.8%)

Memory

-52.5MiB live, 2 612.5MiB allocated

Samples

1.2s	6 641×	0	valid
235.0ms	1 167×	1	valid
130.0ms	420×	2	valid
10.0ms	28×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 412.0ms (34.3% of total)

ival-add: 219.0ms (18.2% of total)

ival-div: 201.0ms (16.7% of total)

ival->: 193.0ms (16.1% of total)

adjust: 71.0ms (5.9% of total)

ival-sub: 66.0ms (5.5% of total)

exact: 20.0ms (1.7% of total)

ival-and: 17.0ms (1.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess657.0ms (5%)

Memory

1.7MiB live, 771.2MiB allocated

Algorithm

2×	egg-herbie

Rules

16 958×	`accelerator-lowering-fma.f32`
16 958×	`accelerator-lowering-fma.f64`
3 860×	`+-lowering-+.f64`
3 860×	`+-lowering-+.f32`
3 552×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	298
1	205	292
2	721	292
3	3654	290
0	15	29
1	33	29
2	108	29
3	478	29
4	2378	29
5	3830	29
6	5123	29
0	8033	26

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

Outputs
(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)
(/ (+ (* (/ (- beta alpha) (+ alpha (+ beta (* 2 i)))) (/ (+ alpha beta) (+ (+ alpha beta) (+ 2 (* 2 i))))) 1) 2)
(/ (+ (/ (/ (* (+ (neg alpha) beta) (- beta (neg alpha))) (+ (+ (neg alpha) beta) (* 2 i))) (+ (+ (+ (neg alpha) beta) (* 2 i)) 2)) 1) 2)
(/ (+ 1 (* (+ alpha beta) (/ (/ (- beta alpha) (+ beta (+ 2 (- (* 2 i) alpha)))) (+ beta (- (* 2 i) alpha))))) 2)
(/ (+ (/ (/ (* (+ alpha (neg beta)) (- (neg beta) alpha)) (+ (+ alpha (neg beta)) (* 2 i))) (+ (+ (+ alpha (neg beta)) (* 2 i)) 2)) 1) 2)
(/ (+ 1 (* (+ alpha beta) (/ (- beta alpha) (* (+ alpha (- (* 2 i) beta)) (+ alpha (+ 2 (- (* 2 i) beta))))))) 2)
(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 (neg i)))) (+ (+ (+ alpha beta) (* 2 (neg i))) 2)) 1) 2)
(/ (+ 1 (* (+ alpha beta) (/ (- beta alpha) (* (+ beta (+ alpha (* i -2))) (+ alpha (+ beta (- 2 (* 2 i)))))))) 2)
(neg (/ (+ (/ (/ (* (+ (neg alpha) beta) (- beta (neg alpha))) (+ (+ (neg alpha) beta) (* 2 i))) (+ (+ (+ (neg alpha) beta) (* 2 i)) 2)) 1) 2))
(- -1/2 (/ (* (+ alpha beta) (/ (/ (- beta alpha) (+ beta (+ 2 (- (* 2 i) alpha)))) (+ beta (- (* 2 i) alpha)))) 2))
(neg (/ (+ (/ (/ (* (+ alpha (neg beta)) (- (neg beta) alpha)) (+ (+ alpha (neg beta)) (* 2 i))) (+ (+ (+ alpha (neg beta)) (* 2 i)) 2)) 1) 2))
(- -1/2 (/ (* (+ alpha beta) (/ (- beta alpha) (* (+ alpha (- (* 2 i) beta)) (+ alpha (+ 2 (- (* 2 i) beta)))))) 2))
(neg (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 (neg i)))) (+ (+ (+ alpha beta) (* 2 (neg i))) 2)) 1) 2))
(- -1/2 (/ (* (+ alpha beta) (/ (- beta alpha) (* (+ beta (+ alpha (* i -2))) (+ alpha (+ beta (- 2 (* 2 i))))))) 2))
(/ (+ (/ (/ (* (+ beta alpha) (- alpha beta)) (+ (+ beta alpha) (* 2 i))) (+ (+ (+ beta alpha) (* 2 i)) 2)) 1) 2)
(/ (+ 1 (* (/ (- alpha beta) (+ alpha (+ beta (* 2 i)))) (/ (+ alpha beta) (+ (+ alpha beta) (+ 2 (* 2 i)))))) 2)
(/ (+ (/ (/ (* (+ i beta) (- beta i)) (+ (+ i beta) (* 2 alpha))) (+ (+ (+ i beta) (* 2 alpha)) 2)) 1) 2)
(/ (+ 1 (* (/ (- beta i) (+ i (+ beta (* alpha 2)))) (/ (+ beta i) (+ beta (+ i (+ 2 (* alpha 2))))))) 2)
(/ (+ (/ (/ (* (+ alpha i) (- i alpha)) (+ (+ alpha i) (* 2 beta))) (+ (+ (+ alpha i) (* 2 beta)) 2)) 1) 2)
(/ (+ 1 (* (+ alpha i) (/ (- i alpha) (* (+ alpha (+ i (* beta 2))) (+ 2 (+ alpha (+ i (* beta 2)))))))) 2)

explain607.0ms (4.6%)

Memory

-14.1MiB live, 380.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
92	-	0	-	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
68	-	1	(151.7443276170522 8.202285799135751e-299 4.956875089581841e-168)	`(+.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	84	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	84
`+.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	67	1

Confusion

	Predicted +	Predicted -
+	109	1
-	0	146

Precision

1.0

Recall

0.990909090909091

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	109	1	0
-	0	0	146

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	147
1	67
2	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	386×	0	valid
21.0ms	78×	1	valid
16.0ms	42×	2	valid
2.0ms	6×	3	valid

Compiler

Compiled 334 to 64 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-add: 18.0ms (35.9% of total)

ival-div: 13.0ms (25.9% of total)

ival-mult: 9.0ms (17.9% of total)

adjust: 5.0ms (10% of total)

ival-sub: 3.0ms (6% of total)

exact: 1.0ms (2% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.1%	(/.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))

Status

Accuracy

Program

▶

59.1%

(/.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))

Compiler

Compiled 32 to 15 computations (53.1% saved)

simplify421.0ms (3.2%)

Memory

1.7MiB live, 609.2MiB 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

16 958×	`accelerator-lowering-fma.f32`
16 958×	`accelerator-lowering-fma.f64`
3 860×	`+-lowering-+.f64`
3 860×	`+-lowering-+.f32`
3 552×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	133
1	33	133
2	108	133
3	478	133
4	2378	133
5	3830	133
6	5123	133
0	8033	122

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize88.0ms (0.7%)

Memory

-7.8MiB live, 70.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	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	76.1%	(+.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	66.4%	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

41.0ms	39×	1	valid
20.0ms	193×	0	valid
6.0ms	21×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 42.0ms (73.8% of total)

ival-div: 6.0ms (10.5% of total)

ival-mult: 4.0ms (7% of total)

adjust: 3.0ms (5.3% of total)

ival-sub: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series70.0ms (0.5%)

Memory

17.7MiB live, 93.4MiB allocated

Counts

6 → 192

Calls

Call 1

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

Outputs
#<alt (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))>
#<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)))))>
#<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)))))>
#<alt (+ (* 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)))))>
#<alt -1>
#<alt (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))))>
#<alt (- (+ (* -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))))))>
#<alt (- (+ (* -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))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1)>
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#<alt (+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))>
#<alt (+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))>
#<alt (+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))>
#<alt (/ (pow beta 2) (+ beta (* 2 i)))>
#<alt (+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (/ beta (+ beta (* 2 i)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))>
#<alt (+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (/ (pow beta 2) (pow (+ beta (* 2 i)) 3)) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))>
#<alt (+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 3))) (+ (/ 1 (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 3)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 4)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))>
#<alt (* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))>
#<alt (* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))) alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))>
#<alt (* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt beta>
#<alt (* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))))))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (- beta alpha)>
#<alt (- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)>
#<alt (- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)>
#<alt (- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)>
#<alt (* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))>
#<alt (/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)>
#<alt (/ (- (+ (* 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)>
#<alt (/ (- (+ (* -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)>
#<alt (* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))>
#<alt (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>

Calls

48 calls:

Time	Variable		Point	Expression
21.0ms	alpha	@	0	(/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i)))
4.0ms	i	@	inf	(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2))
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))

rewrite414.0ms (3.2%)

Memory

-4.9MiB live, 622.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 612×	`/-lowering-/.f32`
5 612×	`/-lowering-/.f64`
5 576×	`-lowering-.f32`
5 576×	`-lowering-.f64`
3 560×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	106
1	115	106
2	1187	106
0	8698	96

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 305

Calls

Call 1

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

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

simplify447.0ms (3.4%)

Memory

-7.0MiB live, 815.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 196×	`-lowering-.f32`
6 196×	`-lowering-.f64`
6 142×	`accelerator-lowering-fma.f32`
6 142×	`accelerator-lowering-fma.f64`
5 244×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	933	12962
1	3169	11337
0	8840	10203

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

eval92.0ms (0.7%)

Memory: -10.7MiB live, 234.9MiB allocated
Compiler: Compiled 31 480 to 2 396 computations (92.4% saved)

prune93.0ms (0.7%)

Memory

20.6MiB live, 250.7MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	574	17	591
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	575	17	592

Accuracy

99.9%

Counts

592 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.6%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 i i)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
▶	59.7%	(fma.f64 (/.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)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	55.1%	(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))
	22.1%	(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))
	20.6%	(/.f64 (fma.f64 (/.f64 (fma.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 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (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 alpha alpha)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.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))))) alpha)))) alpha)
	37.9%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.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)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	34.4%	(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.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)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	76.1%	(/.f64 (fma.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))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.2%	(/.f64 (fma.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))) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.3%	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (neg.f64 alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.5%	(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	27.8%	(/.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)
▶	22.1%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.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))))) alpha))) alpha)
	62.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	65.5%	(.f64 (fma.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)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
	31.5%	#s(literal 1 binary64)
▶	56.8%	#s(literal 1/2 binary64)

Compiler

Compiled 1 068 to 484 computations (54.7% saved)

simplify354.0ms (2.7%)

Memory

-8.3MiB live, 555.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

11 392×	`accelerator-lowering-fma.f32`
11 392×	`accelerator-lowering-fma.f64`
3 782×	`-lowering-.f32`
3 782×	`-lowering-.f64`
3 282×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	560
1	128	560
2	416	556
3	1730	530
4	6744	530
0	8212	454

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize190.0ms (1.5%)

Memory

33.2MiB live, 296.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.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))))) alpha))) alpha)
✓	accuracy	93.6%	(/.f64 (-.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))))) alpha)
✓	accuracy	83.5%	(-.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)))))
✓	accuracy	60.1%	(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))))
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	100.0%	(fma.f64 (/.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)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
✓	accuracy	75.0%	(/.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))))
✓	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 (+.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 i #s(literal 4 binary64))
✓	accuracy	99.9%	(/.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	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
✓	accuracy	100.0%	(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
✓	accuracy	76.1%	(fma.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))))) #s(literal 1 binary64))

Samples

60.0ms	193×	0	valid
24.0ms	37×	1	valid
18.0ms	21×	2	valid
4.0ms	4×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 497 to 44 computations (91.1% saved)

Precisions

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

ival-div: 21.0ms (28.1% of total)

ival-add: 20.0ms (26.7% of total)

ival-mult: 19.0ms (25.4% of total)

adjust: 8.0ms (10.7% of total)

ival-sub: 5.0ms (6.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series96.0ms (0.7%)

Memory

-43.8MiB live, 205.1MiB allocated

Counts

20 → 552

Calls

Call 1

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

Outputs
#<alt (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))>
#<alt (+ 1 (+ (* -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))))))))>
#<alt (+ 1 (+ (* -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))))))))>
#<alt (+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* beta (- (+ (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))))>
#<alt 2>
#<alt (- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))>
#<alt (- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))>
#<alt 2>
#<alt (- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))>
#<alt (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))>
#<alt (+ 1 (+ (* 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))))))>
#<alt (+ 1 (+ (* 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))))))>
#<alt (+ 1 (+ (* 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))))))>
#<alt (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)>
#<alt (/ (- (+ beta (+ (* -1 beta) (/ (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)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))>
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#<alt (* -1 alpha)>
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#<alt (* -1 (* i (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2)))>
#<alt (* -1 (* i (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2)))>
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#<alt (* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))>
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#<alt (* 2 beta)>
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#<alt 1>
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#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) (* 1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) beta))) beta)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) beta)))>
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#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* i (+ (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))) (* beta (+ 2 beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (* beta (+ 2 beta))))))) (* -1/2 (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))))))))>
#<alt 1/2>
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#<alt (+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 4))) (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2))))))>
#<alt 1/2>
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#<alt (+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta))))) (* 1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) i))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))>
#<alt (* 1/2 (/ (pow beta 2) (* i (+ 2 (* 2 i)))))>
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#<alt (* (pow beta 2) (+ (* 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)))))))>
#<alt (* (pow beta 2) (+ (* 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)))))))>
#<alt 1>
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#<alt (- (+ 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))))))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) beta)) (* -1 (/ (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) beta))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) beta)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))) beta)))>
#<alt (/ beta (+ 2 beta))>
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#<alt (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))) (* beta (+ 2 beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (* beta (+ 2 beta))))))) (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))>
#<alt (* 1/4 (/ (pow beta 2) (pow i 2)))>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* -1/64 (* (pow beta 3) (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))))) (pow i 3))) (* 1/4 (pow beta 2))) (+ (* -1/64 (/ (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/16 (/ (* (pow beta 3) (+ 2 beta)) (pow i 2)))))) (pow i 2))>
#<alt (* 1/4 (/ (pow beta 2) (pow i 2)))>
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#<alt (/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2)) i)) (* 1/16 (/ (* (pow beta 3) (+ 2 beta)) i))) (* 1/16 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 1/4 (pow beta 2))) (pow i 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 beta) (* -2 (+ 2 beta))) (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta))))) i)) (* -1/64 (/ (* (pow beta 3) (* (+ 2 beta) (+ (* -2 beta) (* -2 (+ 2 beta))))) i))) (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta))))) i)) (* 1/16 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 1/4 (pow beta 2))) (pow i 2))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (* beta (+ 2 beta))>
#<alt (+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (* 2 (+ 2 beta)))))>
#<alt (+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (+ (* 2 (+ 2 beta)) (* 4 i)))))>
#<alt (+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (+ (* 2 (+ 2 beta)) (* 4 i)))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ (+ 2 beta) i)))))>
#<alt (* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (+ (* 2 (/ (+ 2 beta) i)) (/ (* beta (+ 2 beta)) (pow i 2))))))>
#<alt (* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (+ (* 2 (/ (+ 2 beta) i)) (/ (* beta (+ 2 beta)) (pow i 2))))))>
#<alt (* 4 (pow i 2))>
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#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) i)))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) i)))) i))))>
#<alt (* 2 (* i (+ 2 (* 2 i))))>
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#<alt (+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (+ beta (* 4 i)))))>
#<alt (pow beta 2)>
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#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))>
#<alt (pow beta 2)>
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#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (* -1 (+ 2 (* 2 i))))) beta))))>
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#<alt (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))))>
#<alt (+ (* 1/2 (* beta (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))))) (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))))>
#<alt (+ (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))) (* beta (+ (* -1 (/ beta alpha)) (* 1/2 (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))))))>
#<alt (+ (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))) (* beta (+ (* -1 (/ beta alpha)) (* 1/2 (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))))))>
#<alt (* -1 (/ (pow beta 2) alpha))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (+ alpha beta)) i)) (* 1/8 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) i)) (* -1/2 (+ alpha beta))) i))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (* 4 i)>
#<alt (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))>
#<alt (+ (* -2 (* i (+ 2 (* 2 i)))) (+ (* beta (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow (+ 2 (* 4 i)) 2)))>
#<alt (+ (* -2 (* i (+ 2 (* 2 i)))) (+ (* beta (+ (* -1 (+ 2 (* 4 i))) (+ (* 3 beta) (* 4 (+ 2 (* 4 i)))))) (pow (+ 2 (* 4 i)) 2)))>
#<alt (+ (* -2 (* i (+ 2 (* 2 i)))) (+ (* beta (+ (* -1 (+ 2 (* 4 i))) (+ (* 3 beta) (* 4 (+ 2 (* 4 i)))))) (pow (+ 2 (* 4 i)) 2)))>
#<alt (* 3 (pow beta 2))>
#<alt (* (pow beta 2) (+ 3 (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (* 4 (/ (+ 2 (* 4 i)) beta)))))>
#<alt (* (pow beta 2) (+ 3 (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) beta)) (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))))))>
#<alt (* (pow beta 2) (+ 3 (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) beta)) (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))))))>
#<alt (* 3 (pow beta 2))>
#<alt (* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) beta))))>
#<alt (* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) beta)) (* 4 i)))) beta))))>
#<alt (* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) beta)) (* 4 i)))) beta))))>
#<alt (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))>
#<alt (+ (* -1 (* beta (+ 2 beta))) (+ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow (+ 2 (* 2 beta)) 2)))>
#<alt (+ (* -1 (* beta (+ 2 beta))) (+ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 8 (+ 2 (* 2 beta))) (* 12 i)))) (pow (+ 2 (* 2 beta)) 2)))>
#<alt (+ (* -1 (* beta (+ 2 beta))) (+ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 8 (+ 2 (* 2 beta))) (* 12 i)))) (pow (+ 2 (* 2 beta)) 2)))>
#<alt (* 12 (pow i 2))>
#<alt (* (pow i 2) (+ 12 (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (* 8 (/ (+ 2 (* 2 beta)) i)))))>
#<alt (* (pow i 2) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2)))))))>
#<alt (* (pow i 2) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2)))))))>
#<alt (* 12 (pow i 2))>
#<alt (* (pow i 2) (+ 12 (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) i))))>
#<alt (* (pow i 2) (+ 12 (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)) i)) (+ (* 2 beta) (* 2 (+ 2 beta))))) i))))>
#<alt (* (pow i 2) (+ 12 (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)) i)) (+ (* 2 beta) (* 2 (+ 2 beta))))) i))))>
#<alt (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha))>
#<alt (+ (* -1 (/ (* beta (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) alpha)) (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)))>
#<alt (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)) (* beta (+ (* -2 (/ beta alpha)) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) alpha)))))>
#<alt (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)) (* beta (+ (* -2 (/ beta alpha)) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) alpha)))))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta))) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (* alpha (pow beta 2)))) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta)))) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (* alpha (pow beta 2)))) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta)))) (* 2 (/ 1 alpha))))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (* 2 (/ 1 (* alpha beta))))) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha beta))) (+ (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha beta))) (+ (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) alpha)>
#<alt (- (+ (* -1 (/ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) alpha)) (/ (pow beta 2) alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))>
#<alt (- (+ (* i (+ (* -12 (/ i alpha)) (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) alpha)))) (/ (pow beta 2) alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))>
#<alt (- (+ (* i (+ (* -12 (/ i alpha)) (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) alpha)))) (/ (pow beta 2) alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* (pow i 2) (- (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (* alpha i))) (* 12 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (+ (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (* alpha i))) (/ (pow beta 2) (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2)))))))>
#<alt (* (pow i 2) (- (+ (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (* alpha i))) (/ (pow beta 2) (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2)))))))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 2 (/ beta (* alpha i))) (* 2 (/ (+ 2 beta) (* alpha i))))) (* 12 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) alpha)) (* -1 (/ (- (/ (pow beta 2) alpha) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 12 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) alpha)) (* -1 (/ (- (/ (pow beta 2) alpha) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 12 (/ 1 alpha))))>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>
#<alt (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)>

Calls

138 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	-inf	(* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (- (* beta beta) (+ (* (+ 2 (+ (* beta 2) (* i 4))) (+ 2 (+ (* beta 2) (* i 4)))) (* (+ (* 2 i) beta) (- -2 (+ (* 2 i) beta))))) alpha)))
4.0ms	beta	@	0	(+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2)
3.0ms	i	@	inf	(/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))
2.0ms	i	@	inf	(- (* beta beta) (+ (* (+ 2 (+ (* beta 2) (* i 4))) (+ 2 (+ (* beta 2) (* i 4)))) (* (+ (* 2 i) beta) (- -2 (+ (* 2 i) beta)))))
2.0ms	beta	@	0	(* beta beta)

rewrite425.0ms (3.2%)

Memory

27.9MiB live, 525.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 072×	`-lowering-.f32`
4 072×	`-lowering-.f64`
3 462×	`/-lowering-/.f32`
3 462×	`/-lowering-/.f64`
3 364×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	356
1	349	356
2	3993	356
0	8135	305

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 513

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.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 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.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 #s(literal 1 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (+.f64 beta alpha) (+.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 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.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 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.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 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (-.f64 beta alpha) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta (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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (.f64 (+.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)))) (.f64 alpha (.f64 alpha alpha)))) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (-.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) (.f64 (+.f64 alpha (+.f64 beta (fma.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)))))) (-.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (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)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.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)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))))))
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simplify524.0ms (4%)

Memory

23.1MiB live, 1 002.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 928×	`-lowering-.f32`
5 928×	`-lowering-.f64`
5 580×	`accelerator-lowering-fma.f32`
5 580×	`accelerator-lowering-fma.f64`
4 296×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1856	20147
1	6242	19629
0	8110	17855

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
(+ 1 (+ (* -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 (+ (* -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
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1
(+ 1 (* 1/2 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i))))) (* 1/2 (/ (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) (* 1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) beta))) beta)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* i (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* i (+ (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))) (* beta (+ 2 beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (* beta (+ 2 beta))))))) (* -1/2 (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))))))))
1/2
(+ 1/2 (* 1/8 (/ (pow beta 2) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 4))) (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (pow beta 2) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta))))) (* 1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) i))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(* 1/2 (/ (pow beta 2) (* i (+ 2 (* 2 i)))))
(* (pow beta 2) (+ (* -1/4 (/ (* beta (+ 2 (* 4 i))) (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))) (* 1/2 (/ 1 (* i (+ 2 (* 2 i)))))))
(* (pow beta 2) (+ (* 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)))))))
(* (pow beta 2) (+ (* 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
(+ 1 (* -1 (/ (+ 2 (* 4 i)) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2)))) (+ (* 4 (/ i beta)) (* 2 (/ 1 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))))))
1
(+ 1 (+ (* -2 (/ i beta)) (* -1 (/ (+ 2 (* 2 i)) beta))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2) beta)) (* 2 (/ (* i (+ 2 (* 2 i))) beta))) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) beta)) (* -1 (/ (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) beta))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) beta)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* i (+ (* 2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))) (* beta (+ 2 beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (* beta (+ 2 beta))))))) (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(* 1/4 (/ (pow beta 2) (pow i 2)))
(/ (+ (* -1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 2))) (* 1/4 (pow beta 2))) (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* -1/64 (* (pow beta 3) (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))))) (pow i 3))) (* 1/4 (pow beta 2))) (+ (* -1/64 (/ (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/16 (/ (* (pow beta 3) (+ 2 beta)) (pow i 2)))))) (pow i 2))
(* 1/4 (/ (pow beta 2) (pow i 2)))
(/ (+ (* 1/16 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2)) i)) (* 1/16 (/ (* (pow beta 3) (+ 2 beta)) i))) (* 1/16 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 beta) (* -2 (+ 2 beta))) (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta))))) i)) (* -1/64 (/ (* (pow beta 3) (* (+ 2 beta) (+ (* -2 beta) (* -2 (+ 2 beta))))) i))) (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta))))) i)) (* 1/16 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(* beta (+ 2 beta))
(+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (* 2 (+ 2 beta)))))
(+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (+ (* 2 (+ 2 beta)) (* 4 i)))))
(+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (+ (* 2 (+ 2 beta)) (* 4 i)))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ (+ 2 beta) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (+ (* 2 (/ (+ 2 beta) i)) (/ (* beta (+ 2 beta)) (pow i 2))))))
(* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (+ (* 2 (/ (+ 2 beta) i)) (/ (* beta (+ 2 beta)) (pow i 2))))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) i)))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) i)))) i))))
(* 2 (* i (+ 2 (* 2 i))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (* 4 i))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (+ beta (* 4 i)))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (+ beta (* 4 i)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (* -1 (+ 2 (* 2 i))))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (* -1 (+ 2 (* 2 i))))) beta))))
(* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))))
(+ (* 1/2 (* beta (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))))) (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))))
(+ (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))) (* beta (+ (* -1 (/ beta alpha)) (* 1/2 (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))))))
(+ (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))) (* beta (+ (* -1 (/ beta alpha)) (* 1/2 (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) beta)) (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (pow beta 2)))) (/ 1 alpha)))
(* (pow beta 2) (- (+ (* 1/2 (/ (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) beta)) (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (pow beta 2)))) (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* 1/2 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) (* -1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta))) beta)) (/ 1 alpha)))
(* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))))
(+ (* 1/2 (* i (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))))) (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))))
(+ (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))) (* i (+ (* -6 (/ i alpha)) (* 1/2 (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))))))
(+ (* 1/2 (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))) (* i (+ (* -6 (/ i alpha)) (* 1/2 (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))))))
(* -6 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 2)))) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 1/2 (/ (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) i)) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (pow i 2)))) (* 6 (/ 1 alpha))))
(* -6 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) (* -1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 6 (/ 1 alpha))))
(* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))
(/ (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) alpha)
(/ (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) alpha)
(/ (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) alpha)
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
(* -1 (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(- (* -1 (* beta (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))))) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(- (* beta (- (* -2 beta) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))))) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(- (* beta (- (* -2 beta) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))))) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(* -2 (pow beta 2))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) beta)) 2))
(* (pow beta 2) (- (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow beta 2))) (+ 2 (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (* 4 (/ (+ 2 (* 4 i)) beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (pow beta 2))) (+ 2 (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (* 4 (/ (+ 2 (* 4 i)) beta))))))
(* -2 (pow beta 2))
(* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))) 2))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (/ (pow (+ 2 (* 4 i)) 2) beta)) (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) beta)) 2))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (/ (pow (+ 2 (* 4 i)) 2) beta)) (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i)))) beta)) 2))
(- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))
(- (+ (* -1 (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))))) (pow beta 2)) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))
(- (+ (* i (- (* -12 i) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))))) (pow beta 2)) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))
(- (+ (* i (- (* -12 i) (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))))) (pow beta 2)) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)))
(* -12 (pow i 2))
(* (pow i 2) (- (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) i)) 12))
(* (pow i 2) (- (/ (pow beta 2) (pow i 2)) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))))))))
(* (pow i 2) (- (/ (pow beta 2) (pow i 2)) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2))))))))
(* -12 (pow i 2))
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) i)) (+ (* 2 (/ beta i)) (* 2 (/ (+ 2 beta) i)))) 12))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) i)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) i)) 12))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) i)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) i)) 12))
(* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) alpha))
(+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2))))))) (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) alpha)))
(+ (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2)))))))))
(+ (* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2)))))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2))))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2))))) beta)) (* 1/2 (/ (- (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) (pow beta 2)))) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ (+ 2 (* 4 i)) (pow alpha 2))))) beta)) (* 1/2 (/ (- (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) (pow beta 2)))) (/ 1 (pow alpha 2))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* 1/2 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) (* alpha beta))) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) alpha)) (* -1/2 (/ (- (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) beta))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) alpha)) (* -1/2 (/ (- (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (/ (pow (+ 2 (* 4 i)) 2) (pow alpha 2)))) beta))) beta)) (/ 1 (pow alpha 2))))
(* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) alpha))
(+ (* 1/2 (* i (- (* 4 (/ 1 alpha)) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) alpha)) (* 8 (/ (+ 2 (* 2 beta)) (pow alpha 2))))))) (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) alpha)))
(+ (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) alpha)) (* i (+ (* -6 (/ i (pow alpha 2))) (* 1/2 (- (* 4 (/ 1 alpha)) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) alpha)) (* 8 (/ (+ 2 (* 2 beta)) (pow alpha 2)))))))))
(+ (* 1/2 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) alpha)) (* i (+ (* -6 (/ i (pow alpha 2))) (* 1/2 (- (* 4 (/ 1 alpha)) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) alpha)) (* 8 (/ (+ 2 (* 2 beta)) (pow alpha 2)))))))))
(* -6 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) alpha)) (* 8 (/ (+ 2 (* 2 beta)) (pow alpha 2))))) i)) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) alpha)) (* 8 (/ (+ 2 (* 2 beta)) (pow alpha 2))))) i)) (* 1/2 (/ (- (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) (pow i 2)))) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) alpha)) (* 8 (/ (+ 2 (* 2 beta)) (pow alpha 2))))) i)) (* 1/2 (/ (- (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) (pow i 2)))) (* 6 (/ 1 (pow alpha 2)))))
(* -6 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (- (* 1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) alpha)) (* -1/2 (/ (- (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) i))) i)) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (* -1 (/ (+ (* -1/2 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) alpha)) (* -1/2 (/ (- (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)))) i))) i)) (* 6 (/ 1 (pow alpha 2)))))
(* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) (pow alpha 2)))
(/ (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))
(/ (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))
(/ (+ (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))))) (pow alpha 2))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(/ (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))) alpha)
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))) alpha))
(/ beta (+ 2 (+ beta (* 2 i))))
(+ (* alpha (- (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ beta (+ 2 (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* alpha (- (/ beta (pow (+ 2 (+ beta (* 2 i))) 3)) (/ 1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ 1 (+ 2 (+ beta (* 2 i))))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ beta (+ 2 (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ 1 (pow (+ 2 (+ beta (* 2 i))) 3)) (/ beta (pow (+ 2 (+ beta (* 2 i))) 4)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 3))) (/ 1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ 1 (+ 2 (+ beta (* 2 i))))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ beta (+ 2 (+ beta (* 2 i)))))
1
(+ 1 (* -1 (/ (+ 2 (* 2 i)) alpha)))
(- (+ 1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ beta (* 2 i)))) (pow alpha 2))) (+ (* 2 (/ i alpha)) (* 2 (/ 1 alpha))))
(- (+ 1 (* -1 (/ (* (+ 2 (* 2 i)) (pow (+ 2 (+ beta (* 2 i))) 2)) (pow alpha 3)))) (+ (* -1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ beta (* 2 i)))) (pow alpha 2))) (+ (* 2 (/ i alpha)) (* 2 (/ 1 alpha)))))
1
(+ 1 (* -1 (/ (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 i)))))) alpha))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 (+ beta (* 2 i))) 2) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 i)))))) alpha)) (* -1 (* (+ 2 (+ beta (* 2 i))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 i)))))))) alpha))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))
(/ alpha (+ 2 (+ alpha (* 2 i))))
(+ (* beta (- (/ 1 (+ 2 (+ alpha (* 2 i)))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ alpha (+ 2 (+ alpha (* 2 i)))))
(+ (* beta (- (+ (* beta (- (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 3)) (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ 1 (+ 2 (+ alpha (* 2 i))))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ alpha (+ 2 (+ alpha (* 2 i)))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 3)) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 4)))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 3))) (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ 1 (+ 2 (+ alpha (* 2 i))))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2)))) (/ alpha (+ 2 (+ alpha (* 2 i)))))
1
(+ 1 (* -1 (/ (+ 2 (* 2 i)) beta)))
(- (+ 1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ alpha (* 2 i)))) (pow beta 2))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta))))
(- (+ 1 (* -1 (/ (* (+ 2 (* 2 i)) (pow (+ 2 (+ alpha (* 2 i))) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 2 (* 2 i)) (+ 2 (+ alpha (* 2 i)))) (pow beta 2))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta)))))
1
(+ 1 (* -1 (/ (- (* -1 alpha) (* -1 (+ 2 (+ alpha (* 2 i))))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (* -1 (+ 2 (+ alpha (* 2 i)))))) beta))) (* -1 (+ 2 (+ alpha (* 2 i))))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 (+ alpha (* 2 i))) 2) (- (* -1 alpha) (* -1 (+ 2 (+ alpha (* 2 i)))))) beta)) (* -1 (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (* -1 (+ 2 (+ alpha (* 2 i)))))))) beta))) (* -1 (+ 2 (+ alpha (* 2 i))))) beta)))
(/ (+ alpha beta) (+ 2 (+ alpha beta)))
(+ (* -2 (/ (* i (+ alpha beta)) (pow (+ 2 (+ alpha beta)) 2))) (+ (/ alpha (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))))
(+ (* i (- (* 4 (/ (* i (+ alpha beta)) (pow (+ 2 (+ alpha beta)) 3))) (* 2 (/ (+ alpha beta) (pow (+ 2 (+ alpha beta)) 2))))) (+ (/ alpha (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))))
(+ (* i (- (* i (- (* -8 (/ (* i (+ alpha beta)) (pow (+ 2 (+ alpha beta)) 4))) (* -4 (/ (+ alpha beta) (pow (+ 2 (+ alpha beta)) 3))))) (* 2 (/ (+ alpha beta) (pow (+ 2 (+ alpha beta)) 2))))) (+ (/ alpha (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))))
(* 1/2 (/ (+ alpha beta) i))
(/ (+ (* -1/4 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)) (* 1/2 (+ alpha beta))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)) (pow i 2))) (* 1/2 (+ alpha beta))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (+ alpha beta)) (pow i 3))) (* 1/2 (+ alpha beta))) (+ (* -1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)) (pow i 2))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i)
(* 1/2 (/ (+ alpha beta) i))
(* -1 (/ (+ (* -1/2 (+ alpha beta)) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) i)) (* -1/2 (+ alpha beta))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (+ alpha beta)) i)) (* 1/8 (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (+ alpha beta)))) i)) (* -1/2 (+ alpha beta))) i))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2))
(+ (* -2 (* i (+ 2 (* 2 i)))) (+ (* beta (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) (pow (+ 2 (* 4 i)) 2)))
(+ (* -2 (* i (+ 2 (* 2 i)))) (+ (* beta (+ (* -1 (+ 2 (* 4 i))) (+ (* 3 beta) (* 4 (+ 2 (* 4 i)))))) (pow (+ 2 (* 4 i)) 2)))
(+ (* -2 (* i (+ 2 (* 2 i)))) (+ (* beta (+ (* -1 (+ 2 (* 4 i))) (+ (* 3 beta) (* 4 (+ 2 (* 4 i)))))) (pow (+ 2 (* 4 i)) 2)))
(* 3 (pow beta 2))
(* (pow beta 2) (+ 3 (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (* 4 (/ (+ 2 (* 4 i)) beta)))))
(* (pow beta 2) (+ 3 (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) beta)) (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))))))
(* (pow beta 2) (+ 3 (+ (* -2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* -1 (/ (+ 2 (* 4 i)) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) beta)) (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2)))))))
(* 3 (pow beta 2))
(* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) beta))))
(* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) beta)) (* 4 i)))) beta))))
(* (pow beta 2) (+ 3 (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) beta)) (* 4 i)))) beta))))
(+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))
(+ (* -1 (* beta (+ 2 beta))) (+ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) (pow (+ 2 (* 2 beta)) 2)))
(+ (* -1 (* beta (+ 2 beta))) (+ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 8 (+ 2 (* 2 beta))) (* 12 i)))) (pow (+ 2 (* 2 beta)) 2)))
(+ (* -1 (* beta (+ 2 beta))) (+ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 8 (+ 2 (* 2 beta))) (* 12 i)))) (pow (+ 2 (* 2 beta)) 2)))
(* 12 (pow i 2))
(* (pow i 2) (+ 12 (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (* 8 (/ (+ 2 (* 2 beta)) i)))))
(* (pow i 2) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2)))))))
(* (pow i 2) (+ 12 (+ (* -1 (/ (* beta (+ 2 beta)) (pow i 2))) (+ (* -1 (/ (+ (* 2 beta) (* 2 (+ 2 beta))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) i)) (/ (pow (+ 2 (* 2 beta)) 2) (pow i 2)))))))
(* 12 (pow i 2))
(* (pow i 2) (+ 12 (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) i))))
(* (pow i 2) (+ 12 (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)) i)) (+ (* 2 beta) (* 2 (+ 2 beta))))) i))))
(* (pow i 2) (+ 12 (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2)) i)) (+ (* 2 beta) (* 2 (+ 2 beta))))) i))))
(* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha))
(+ (* -1 (/ (* beta (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i))))) alpha)) (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)))
(+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)) (* beta (+ (* -2 (/ beta alpha)) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) alpha)))))
(+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) alpha)) (* beta (+ (* -2 (/ beta alpha)) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) alpha)))))
(* -2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta))) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (* alpha (pow beta 2)))) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta)))) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)) (* alpha (pow beta 2)))) (* -1 (/ (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))) (* alpha beta)))) (* 2 (/ 1 alpha))))
(* -2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (* 2 (/ 1 (* alpha beta))))) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha beta))) (+ (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha beta))) (+ (* -1 (/ (+ 2 (+ (* -4 (+ 2 (* 4 i))) (* 4 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) alpha)
(- (+ (* -1 (/ (* i (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta))))) alpha)) (/ (pow beta 2) alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(- (+ (* i (+ (* -12 (/ i alpha)) (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) alpha)))) (/ (pow beta 2) alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(- (+ (* i (+ (* -12 (/ i alpha)) (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) alpha)))) (/ (pow beta 2) alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(* -12 (/ (pow i 2) alpha))
(* (pow i 2) (- (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (* alpha i))) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (+ (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (* alpha i))) (/ (pow beta 2) (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2)))))))
(* (pow i 2) (- (+ (* -1 (/ (+ (* -1 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* 8 (+ 2 (* 2 beta)))) (* alpha i))) (/ (pow beta 2) (* alpha (pow i 2)))) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2)))))))
(* -12 (/ (pow i 2) alpha))
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 2 (/ beta (* alpha i))) (* 2 (/ (+ 2 beta) (* alpha i))))) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) alpha)) (* -1 (/ (- (/ (pow beta 2) alpha) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) alpha)) (* -1 (/ (- (/ (pow beta 2) alpha) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i))) i)) (* 12 (/ 1 alpha))))
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)

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

eval344.0ms (2.6%)

Memory: 25.0MiB live, 666.2MiB allocated
Compiler: Compiled 68 448 to 5 240 computations (92.3% saved)

prune426.0ms (3.2%)

Memory

-4.7MiB live, 477.8MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1 450	14	1 464
Fresh	4	8	12
Picked	4	1	5
Done	0	0	0
Total	1 458	23	1 481

Accuracy

99.9%

Counts

1 481 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.1%	(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))
▶	66.6%	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	64.2%	(fma.f64 (.f64 #s(literal 1/2 binary64) beta) (/.f64 beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	47.3%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 beta beta) (.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	42.4%	(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/2 binary64))
	22.3%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
	20.6%	(/.f64 (fma.f64 (/.f64 (fma.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 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (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 alpha alpha)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.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))))) alpha)))) alpha)
	37.9%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.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)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	34.4%	(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.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)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	60.1%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.2%	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.3%	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (neg.f64 alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.5%	(/.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	23.3%	(/.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha)
	19.6%	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha)
▶	23.6%	(/.f64 (*.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) alpha)
	12.5%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
▶	23.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal -12 binary64)) alpha))) alpha)
	8.5%	(/.f64 beta alpha)
	62.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	65.5%	(.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
▶	31.5%	#s(literal 1 binary64)
✓	56.8%	#s(literal 1/2 binary64)

Compiler

Compiled 1 114 to 554 computations (50.3% saved)

simplify430.0ms (3.3%)

Memory

-46.6MiB live, 617.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal -12 binary64)) alpha))) alpha)
✓	cost-diff	128	(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
✓	cost-diff	448	(+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (.f64 (*.f64 i i) #s(literal -12 binary64)) alpha))
✓	cost-diff	512	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal -12 binary64)) alpha)))
✓	cost-diff	0	(/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
✓	cost-diff	0	(/.f64 (*.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) alpha)
✓	cost-diff	192	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
✓	cost-diff	1024	(*.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha)
✓	cost-diff	320	(*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	0	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Rules

13 260×	`accelerator-lowering-fma.f32`
13 260×	`accelerator-lowering-fma.f64`
4 844×	`+-lowering-+.f64`
4 844×	`+-lowering-+.f32`
4 826×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	203
1	79	203
2	173	183
3	450	171
4	971	171
5	2287	171
6	5501	171
7	6290	171
8	6373	171
9	6402	171
10	6423	171
11	6428	171
12	6606	171
13	6924	171
14	6958	171
15	6958	171
0	9405	152

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ beta (+ 2 beta)) 1/2) 1/2)
(/ beta (+ 2 beta))
beta
(+ 2 beta)
2
1/2
1
(/ (* (+ (* i 4) 2) 1/2) alpha)
(* (+ (* i 4) 2) 1/2)
(+ (* i 4) 2)
i
4
2
1/2
alpha
(/ (* beta (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1)) alpha)
(* beta (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1))
beta
(+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1)
1/2
(/ (+ (* i 4) 2) beta)
(+ (* i 4) 2)
i
4
2
1
alpha
(/ (* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))) alpha)
(* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha)))
1/2
(+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))
(+ 2 (+ (* beta 2) (* i 4)))
2
(+ (* beta 2) (* i 4))
beta
(* i 4)
i
4
(/ (* (* i i) -12) alpha)
(* (* i i) -12)
(* i i)
-12
alpha

Outputs
(+ (* (/ beta (+ 2 beta)) 1/2) 1/2)
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(/ (* (+ (* i 4) 2) 1/2) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* (+ (* i 4) 2) 1/2)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(+ (* i 4) 2)
(fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))
i
4
#s(literal 4 binary64)
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
alpha
(/ (* beta (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1)) alpha)
(/.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) alpha)
(* beta (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
beta
(+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) beta))
1/2
#s(literal 1/2 binary64)
(/ (+ (* i 4) 2) beta)
(/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
(+ (* i 4) 2)
(fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))
i
4
#s(literal 4 binary64)
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
alpha
(/ (* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 i (fma.f64 i (/.f64 #s(literal -6 binary64) alpha) #s(literal 2 binary64)) beta)) alpha)
(* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha)))
(+.f64 #s(literal 1 binary64) (fma.f64 i (fma.f64 i (/.f64 #s(literal -6 binary64) alpha) #s(literal 2 binary64)) beta))
1/2
#s(literal 1/2 binary64)
(+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))
(fma.f64 i (fma.f64 i (/.f64 #s(literal -12 binary64) alpha) #s(literal 4 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))
(+ 2 (+ (* beta 2) (* i 4)))
(fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ (* beta 2) (* i 4))
(fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))
beta
(* i 4)
(*.f64 i #s(literal 4 binary64))
i
4
#s(literal 4 binary64)
(/ (* (* i i) -12) alpha)
(/.f64 (.f64 i (.f64 i #s(literal -12 binary64))) alpha)
(* (* i i) -12)
(.f64 i (.f64 i #s(literal -12 binary64)))
(* i i)
(*.f64 i i)
-12
#s(literal -12 binary64)
alpha

localize93.0ms (0.7%)

Memory

3.4MiB live, 204.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (.f64 (*.f64 i i) #s(literal -12 binary64)) alpha))
✓	accuracy	99.8%	(.f64 (.f64 i i) #s(literal -12 binary64))
✓	accuracy	98.1%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal -12 binary64)) alpha))) alpha)
✓	accuracy	91.4%	(/.f64 (.f64 (.f64 i i) #s(literal -12 binary64)) alpha)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
✓	accuracy	99.9%	(/.f64 (*.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) alpha)
✓	accuracy	83.9%	(*.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha)
✓	accuracy	100.0%	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))

Samples

53.0ms

256×

valid

Compiler

Compiled 188 to 32 computations (83% saved)

Precisions

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

ival-mult: 13.0ms (40.2% of total)

ival-div: 10.0ms (31% of total)

ival-add: 9.0ms (27.9% of total)

exact: 1.0ms (3.1% of total)

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

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

series47.0ms (0.4%)

Memory

14.2MiB live, 90.6MiB allocated

Counts

16 → 360

Calls

Call 1

Inputs
#<alt (+ (* (/ beta (+ 2 beta)) 1/2) 1/2)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (* (+ (* i 4) 2) 1/2)>
#<alt (/ (* (+ (* i 4) 2) 1/2) alpha)>
#<alt (+ (* i 4) 2)>
#<alt (* beta (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1))>
#<alt (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1)>
#<alt (/ (* beta (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1)) alpha)>
#<alt (/ (+ (* i 4) 2) beta)>
#<alt (* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha)))>
#<alt (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))>
#<alt (+ 2 (+ (* beta 2) (* i 4)))>
#<alt (/ (* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))) alpha)>
#<alt (/ (* (* i i) -12) alpha)>
#<alt (* (* i i) -12)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (* -1/4 beta)))>
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))>
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt 1>
#<alt (+ 1 (* 2 i))>
#<alt (+ 1 (* 2 i))>
#<alt (+ 1 (* 2 i))>
#<alt (* 2 i)>
#<alt (* i (+ 2 (/ 1 i)))>
#<alt (* i (+ 2 (/ 1 i)))>
#<alt (* i (+ 2 (/ 1 i)))>
#<alt (* 2 i)>
#<alt (* i (+ 2 (/ 1 i)))>
#<alt (* i (+ 2 (/ 1 i)))>
#<alt (* i (+ 2 (/ 1 i)))>
#<alt (/ 1 alpha)>
#<alt (+ (* 2 (/ i alpha)) (/ 1 alpha))>
#<alt (+ (* 2 (/ i alpha)) (/ 1 alpha))>
#<alt (+ (* 2 (/ i alpha)) (/ 1 alpha))>
#<alt (* 2 (/ i alpha))>
#<alt (* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))>
#<alt (* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))>
#<alt (* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))>
#<alt (* 2 (/ i alpha))>
#<alt (* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))>
#<alt (* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))>
#<alt (* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt 2>
#<alt (+ 2 (* 4 i))>
#<alt (+ 2 (* 4 i))>
#<alt (+ 2 (* 4 i))>
#<alt (* 4 i)>
#<alt (* i (+ 4 (* 2 (/ 1 i))))>
#<alt (* i (+ 4 (* 2 (/ 1 i))))>
#<alt (* i (+ 4 (* 2 (/ 1 i))))>
#<alt (* 4 i)>
#<alt (* i (+ 4 (* 2 (/ 1 i))))>
#<alt (* i (+ 4 (* 2 (/ 1 i))))>
#<alt (* i (+ 4 (* 2 (/ 1 i))))>
#<alt (* 1/2 (+ 2 (* 4 i)))>
#<alt (+ beta (* 1/2 (+ 2 (* 4 i))))>
#<alt (+ beta (* 1/2 (+ 2 (* 4 i))))>
#<alt (+ beta (* 1/2 (+ 2 (* 4 i))))>
#<alt beta>
#<alt (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))>
#<alt (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))>
#<alt (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (+ (* 2 i) (* beta (+ 1 (/ 1 beta))))>
#<alt (+ (* 2 i) (* beta (+ 1 (/ 1 beta))))>
#<alt (+ (* 2 i) (* beta (+ 1 (/ 1 beta))))>
#<alt (* 2 i)>
#<alt (* i (+ 2 (/ (* beta (+ 1 (/ 1 beta))) i)))>
#<alt (* i (+ 2 (/ (* beta (+ 1 (/ 1 beta))) i)))>
#<alt (* i (+ 2 (/ (* beta (+ 1 (/ 1 beta))) i)))>
#<alt (* 2 i)>
#<alt (* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) i)) 2)))>
#<alt (* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) i)) 2)))>
#<alt (* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) i)) 2)))>
#<alt (+ 1 (/ 1 beta))>
#<alt (+ 1 (+ (* 2 (/ i beta)) (/ 1 beta)))>
#<alt (+ 1 (+ (* 2 (/ i beta)) (/ 1 beta)))>
#<alt (+ 1 (+ (* 2 (/ i beta)) (/ 1 beta)))>
#<alt (* 2 (/ i beta))>
#<alt (* i (+ (* 2 (/ 1 beta)) (+ (/ 1 i) (/ 1 (* beta i)))))>
#<alt (* i (+ (* 2 (/ 1 beta)) (+ (/ 1 i) (/ 1 (* beta i)))))>
#<alt (* i (+ (* 2 (/ 1 beta)) (+ (/ 1 i) (/ 1 (* beta i)))))>
#<alt (* 2 (/ i beta))>
#<alt (* -1 (* i (- (* -1 (/ (+ 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* i (- (* -1 (/ (+ 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* i (- (* -1 (/ (+ 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) beta))>
#<alt (/ (+ beta (* 1/2 (+ 2 (* 4 i)))) beta)>
#<alt (/ (+ beta (* 1/2 (+ 2 (* 4 i)))) beta)>
#<alt (/ (+ beta (* 1/2 (+ 2 (* 4 i)))) beta)>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))>
#<alt (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))>
#<alt (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))>
#<alt (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))>
#<alt (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))>
#<alt (* 1/2 (/ (+ 2 (* 4 i)) alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (* 1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha)))>
#<alt (* beta (+ (* 1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha)))>
#<alt (* beta (+ (* 1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha)))>
#<alt (/ beta alpha)>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha))))>
#<alt (/ (* beta (+ 1 (/ 1 beta))) alpha)>
#<alt (+ (* 2 (/ i alpha)) (/ (* beta (+ 1 (/ 1 beta))) alpha))>
#<alt (+ (* 2 (/ i alpha)) (/ (* beta (+ 1 (/ 1 beta))) alpha))>
#<alt (+ (* 2 (/ i alpha)) (/ (* beta (+ 1 (/ 1 beta))) alpha))>
#<alt (* 2 (/ i alpha))>
#<alt (* i (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))))>
#<alt (* i (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))))>
#<alt (* i (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))))>
#<alt (* 2 (/ i alpha))>
#<alt (* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))) (* 2 (/ 1 alpha)))))>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)>
#<alt (/ 2 beta)>
#<alt (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))>
#<alt (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))>
#<alt (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))>
#<alt (* 4 (/ i beta))>
#<alt (* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))>
#<alt (* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))>
#<alt (* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))>
#<alt (* 4 (/ i beta))>
#<alt (* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))>
#<alt (* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))>
#<alt (* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (/ (+ 2 (* 4 i)) beta)>
#<alt (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))))>
#<alt (+ beta (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))))>
#<alt (+ beta (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))))>
#<alt (+ beta (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))))>
#<alt beta>
#<alt (* beta (+ 1 (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta))))>
#<alt (* beta (+ 1 (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta))))>
#<alt (* beta (+ 1 (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 1)))>
#<alt (* 1/2 (+ 2 (* 2 beta)))>
#<alt (+ (* 1/2 (+ 2 (* 2 beta))) (* 2 i))>
#<alt (+ (* 1/2 (+ 2 (* 2 beta))) (* i (+ 2 (* -6 (/ i alpha)))))>
#<alt (+ (* 1/2 (+ 2 (* 2 beta))) (* i (+ 2 (* -6 (/ i alpha)))))>
#<alt (* -6 (/ (pow i 2) alpha))>
#<alt (* (pow i 2) (- (* 2 (/ 1 i)) (* 6 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (+ (* 1/2 (/ (+ 2 (* 2 beta)) (pow i 2))) (* 2 (/ 1 i))) (* 6 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (+ (* 1/2 (/ (+ 2 (* 2 beta)) (pow i 2))) (* 2 (/ 1 i))) (* 6 (/ 1 alpha))))>
#<alt (* -6 (/ (pow i 2) alpha))>
#<alt (* (pow i 2) (- (* 2 (/ 1 i)) (* 6 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2) i)) (* 6 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2) i)) (* 6 (/ 1 alpha))))>
#<alt (* -6 (/ (pow i 2) alpha))>
#<alt (/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)>
#<alt (/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)>
#<alt (/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)>
#<alt (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))>
#<alt (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))>
#<alt (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))>
#<alt (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))>
#<alt (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))>
#<alt (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))>
#<alt (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))>
#<alt (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))>
#<alt (* 2 beta)>
#<alt (* beta (+ 2 (+ (* -12 (/ (pow i 2) (* alpha beta))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))>
#<alt (* beta (+ 2 (+ (* -12 (/ (pow i 2) (* alpha beta))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))>
#<alt (* beta (+ 2 (+ (* -12 (/ (pow i 2) (* alpha beta))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))>
#<alt (* 2 beta)>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 2)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 2)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 2)))>
#<alt (+ 2 (* 2 beta))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* 2 beta) (* i (+ 4 (* -12 (/ i alpha))))))>
#<alt (+ 2 (+ (* 2 beta) (* i (+ 4 (* -12 (/ i alpha))))))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* (pow i 2) (- (* 4 (/ 1 i)) (* 12 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (/ 2 (pow i 2)))) (* 12 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (/ 2 (pow i 2)))) (* 12 (/ 1 alpha))))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* (pow i 2) (- (* 4 (/ 1 i)) (* 12 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4) i)) (* 12 (/ 1 alpha))))>
#<alt (* (pow i 2) (- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4) i)) (* 12 (/ 1 alpha))))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (/ (+ (* -12 (pow i 2)) (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)>
#<alt (/ (+ (* -12 (pow i 2)) (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)>
#<alt (/ (+ (* -12 (pow i 2)) (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))>
#<alt (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))>
#<alt (+ 2 (* 4 i))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (* 2 beta)>
#<alt (* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))>
#<alt (* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))>
#<alt (* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))>
#<alt (* 2 beta)>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))>
#<alt (+ 2 (* 2 beta))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (+ 2 (+ (* 2 beta) (* 4 i)))>
#<alt (* 4 i)>
#<alt (* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))>
#<alt (* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))>
#<alt (* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))>
#<alt (* 4 i)>
#<alt (* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))>
#<alt (* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))>
#<alt (* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))>
#<alt (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha)) (/ beta alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha)) (/ beta alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha)) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (* 1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha)))>
#<alt (* beta (+ (* 1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha)))>
#<alt (* beta (+ (* 1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha)))>
#<alt (/ beta alpha)>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* i (+ (* -6 (/ i (pow alpha 2))) (* 2 (/ 1 alpha)))))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* i (+ (* -6 (/ i (pow alpha 2))) (* 2 (/ 1 alpha)))))>
#<alt (* -6 (/ (pow i 2) (pow alpha 2)))>
#<alt (* (pow i 2) (- (* 2 (/ 1 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))>
#<alt (* (pow i 2) (- (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) (pow i 2))) (/ 2 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))>
#<alt (* (pow i 2) (- (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) (pow i 2))) (/ 2 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))>
#<alt (* -6 (/ (pow i 2) (pow alpha 2)))>
#<alt (* (pow i 2) (- (* 2 (/ 1 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))>
#<alt (* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))) i)) (* 6 (/ 1 (pow alpha 2)))))>
#<alt (* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))) i)) (* 6 (/ 1 (pow alpha 2)))))>
#<alt (* -6 (/ (pow i 2) (pow alpha 2)))>
#<alt (/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))>
#<alt (/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))>
#<alt (/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (/ (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)>
#<alt (/ (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)>
#<alt (/ (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)>
#<alt (* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 6 (/ (pow i 2) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 6 (/ (pow i 2) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 6 (/ (pow i 2) alpha))) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (/ (pow i 2) alpha))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>
#<alt (* -12 (pow i 2))>

Calls

90 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	inf	(* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha)))
5.0ms	i	@	inf	(+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))
2.0ms	beta	@	0	(/ (+ (* i 4) 2) beta)
2.0ms	beta	@	0	(/ (* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))) alpha)
1.0ms	alpha	@	0	(/ (* beta (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1)) alpha)

rewrite426.0ms (3.2%)

Memory

0.4MiB live, 511.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 252×	`-lowering-.f32`
6 252×	`-lowering-.f64`
4 500×	`/-lowering-/.f32`
4 500×	`/-lowering-/.f64`
2 928×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	162
1	197	162
2	1802	162
0	8754	140

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 524

Calls

Call 1

Inputs
(+ (* (/ beta (+ 2 beta)) 1/2) 1/2)
(/ beta (+ 2 beta))
(+ 2 beta)
(* (+ (* i 4) 2) 1/2)
(/ (* (+ (* i 4) 2) 1/2) alpha)
(+ (* i 4) 2)
(* beta (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1))
(+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1)
(/ (* beta (+ (* 1/2 (/ (+ (* i 4) 2) beta)) 1)) alpha)
(/ (+ (* i 4) 2) beta)
(* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha)))
(+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))
(+ 2 (+ (* beta 2) (* i 4)))
(/ (* 1/2 (+ (+ 2 (+ (* beta 2) (* i 4))) (/ (* (* i i) -12) alpha))) alpha)
(/ (* (* i i) -12) alpha)
(* (* i i) -12)

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

simplify485.0ms (3.7%)

Memory

-3.2MiB live, 560.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 564×	`accelerator-lowering-fma.f32`
9 564×	`accelerator-lowering-fma.f64`
4 352×	`-lowering-.f32`
4 352×	`-lowering-.f64`
2 864×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	3995
1	980	3632
2	2548	3493
3	7076	3461
0	8091	3099

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
1
(+ 1 (* 2 i))
(+ 1 (* 2 i))
(+ 1 (* 2 i))
(* 2 i)
(* i (+ 2 (/ 1 i)))
(* i (+ 2 (/ 1 i)))
(* i (+ 2 (/ 1 i)))
(* 2 i)
(* i (+ 2 (/ 1 i)))
(* i (+ 2 (/ 1 i)))
(* i (+ 2 (/ 1 i)))
(/ 1 alpha)
(+ (* 2 (/ i alpha)) (/ 1 alpha))
(+ (* 2 (/ i alpha)) (/ 1 alpha))
(+ (* 2 (/ i alpha)) (/ 1 alpha))
(* 2 (/ i alpha))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(* 2 (/ i alpha))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
2
(+ 2 (* 4 i))
(+ 2 (* 4 i))
(+ 2 (* 4 i))
(* 4 i)
(* i (+ 4 (* 2 (/ 1 i))))
(* i (+ 4 (* 2 (/ 1 i))))
(* i (+ 4 (* 2 (/ 1 i))))
(* 4 i)
(* i (+ 4 (* 2 (/ 1 i))))
(* i (+ 4 (* 2 (/ 1 i))))
(* i (+ 4 (* 2 (/ 1 i))))
(* 1/2 (+ 2 (* 4 i)))
(+ beta (* 1/2 (+ 2 (* 4 i))))
(+ beta (* 1/2 (+ 2 (* 4 i))))
(+ beta (* 1/2 (+ 2 (* 4 i))))
beta
(* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))
(* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))
(* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))
beta
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))
(* beta (+ 1 (/ 1 beta)))
(+ (* 2 i) (* beta (+ 1 (/ 1 beta))))
(+ (* 2 i) (* beta (+ 1 (/ 1 beta))))
(+ (* 2 i) (* beta (+ 1 (/ 1 beta))))
(* 2 i)
(* i (+ 2 (/ (* beta (+ 1 (/ 1 beta))) i)))
(* i (+ 2 (/ (* beta (+ 1 (/ 1 beta))) i)))
(* i (+ 2 (/ (* beta (+ 1 (/ 1 beta))) i)))
(* 2 i)
(* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) i)) 2)))
(* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) i)) 2)))
(* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) i)) 2)))
(+ 1 (/ 1 beta))
(+ 1 (+ (* 2 (/ i beta)) (/ 1 beta)))
(+ 1 (+ (* 2 (/ i beta)) (/ 1 beta)))
(+ 1 (+ (* 2 (/ i beta)) (/ 1 beta)))
(* 2 (/ i beta))
(* i (+ (* 2 (/ 1 beta)) (+ (/ 1 i) (/ 1 (* beta i)))))
(* i (+ (* 2 (/ 1 beta)) (+ (/ 1 i) (/ 1 (* beta i)))))
(* i (+ (* 2 (/ 1 beta)) (+ (/ 1 i) (/ 1 (* beta i)))))
(* 2 (/ i beta))
(* -1 (* i (- (* -1 (/ (+ 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))
(* -1 (* i (- (* -1 (/ (+ 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))
(* -1 (* i (- (* -1 (/ (+ 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))
(* 1/2 (/ (+ 2 (* 4 i)) beta))
(/ (+ beta (* 1/2 (+ 2 (* 4 i)))) beta)
(/ (+ beta (* 1/2 (+ 2 (* 4 i)))) beta)
(/ (+ beta (* 1/2 (+ 2 (* 4 i)))) beta)
1
(+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))
(+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))
(+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))
1
(+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))
(+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))
(+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))
(+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))
(+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))
(/ beta alpha)
(* beta (+ (* 1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha)))
(* beta (+ (* 1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha)))
(* beta (+ (* 1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha)))
(/ beta alpha)
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha))))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha))))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ 1 alpha))))
(/ (* beta (+ 1 (/ 1 beta))) alpha)
(+ (* 2 (/ i alpha)) (/ (* beta (+ 1 (/ 1 beta))) alpha))
(+ (* 2 (/ i alpha)) (/ (* beta (+ 1 (/ 1 beta))) alpha))
(+ (* 2 (/ i alpha)) (/ (* beta (+ 1 (/ 1 beta))) alpha))
(* 2 (/ i alpha))
(* i (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))))
(* i (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))))
(* i (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))))
(* 2 (/ i alpha))
(* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) (* alpha i))) (* 2 (/ 1 alpha)))))
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ (* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta)))) alpha)
(/ 2 beta)
(+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))
(+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))
(+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))
(* 4 (/ i beta))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* 4 (/ i beta))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(* i (+ (* 4 (/ 1 beta)) (* 2 (/ 1 (* beta i)))))
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(/ (+ 2 (* 4 i)) beta)
(* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))))
(+ beta (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))))
(+ beta (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))))
(+ beta (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))))
beta
(* beta (+ 1 (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta))))
(* beta (+ 1 (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta))))
(* beta (+ 1 (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta))))
beta
(* -1 (* beta (- (* -1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 1)))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 1)))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 1)))
(* 1/2 (+ 2 (* 2 beta)))
(+ (* 1/2 (+ 2 (* 2 beta))) (* 2 i))
(+ (* 1/2 (+ 2 (* 2 beta))) (* i (+ 2 (* -6 (/ i alpha)))))
(+ (* 1/2 (+ 2 (* 2 beta))) (* i (+ 2 (* -6 (/ i alpha)))))
(* -6 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 2 (/ 1 i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 1/2 (/ (+ 2 (* 2 beta)) (pow i 2))) (* 2 (/ 1 i))) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 1/2 (/ (+ 2 (* 2 beta)) (pow i 2))) (* 2 (/ 1 i))) (* 6 (/ 1 alpha))))
(* -6 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 2 (/ 1 i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2) i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2) i)) (* 6 (/ 1 alpha))))
(* -6 (/ (pow i 2) alpha))
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(* 2 beta)
(* beta (+ 2 (+ (* -12 (/ (pow i 2) (* alpha beta))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* beta (+ 2 (+ (* -12 (/ (pow i 2) (* alpha beta))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* beta (+ 2 (+ (* -12 (/ (pow i 2) (* alpha beta))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* 2 beta)
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 2)))
(+ 2 (* 2 beta))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* i (+ 4 (* -12 (/ i alpha))))))
(+ 2 (+ (* 2 beta) (* i (+ 4 (* -12 (/ i alpha))))))
(* -12 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 4 (/ 1 i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (/ 2 (pow i 2)))) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (/ 2 (pow i 2)))) (* 12 (/ 1 alpha))))
(* -12 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 4 (/ 1 i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4) i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4) i)) (* 12 (/ 1 alpha))))
(* -12 (/ (pow i 2) alpha))
(/ (+ (* -12 (pow i 2)) (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (+ (* -12 (pow i 2)) (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (+ (* -12 (pow i 2)) (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (* 4 i))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(* 2 beta)
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* 2 beta)
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
(+ 2 (* 2 beta))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(* 4 i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* 4 i)
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha))
(+ (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha)) (/ beta alpha))
(+ (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha)) (/ beta alpha))
(+ (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha)) (/ beta alpha))
(/ beta alpha)
(* beta (+ (* 1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha)))
(* beta (+ (* 1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha)))
(* beta (+ (* 1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha)))
(/ beta alpha)
(* -1 (* beta (- (* -1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* i (+ (* -6 (/ i (pow alpha 2))) (* 2 (/ 1 alpha)))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* i (+ (* -6 (/ i (pow alpha 2))) (* 2 (/ 1 alpha)))))
(* -6 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (- (* 2 (/ 1 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) (pow i 2))) (/ 2 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) (pow i 2))) (/ 2 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(* -6 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (- (* 2 (/ 1 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))) i)) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))) i)) (* 6 (/ 1 (pow alpha 2)))))
(* -6 (/ (pow i 2) (pow alpha 2)))
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(/ (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 6 (/ (pow i 2) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 6 (/ (pow i 2) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 6 (/ (pow i 2) alpha))) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (/ (pow i 2) alpha))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))
(* -12 (pow i 2))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) (/.f64 #s(literal 4 binary64) (.f64 beta (.f64 beta beta)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta))
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* beta (+ 1/2 (* -1/4 beta)))
(*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(*.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(*.f64 beta (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta) (/.f64 #s(literal -8 binary64) (.f64 beta (.f64 beta beta)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) beta)) beta))
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 i))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(+ 1 (* 2 i))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(+ 1 (* 2 i))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (+ 2 (/ 1 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(* i (+ 2 (/ 1 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(* i (+ 2 (/ 1 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (+ 2 (/ 1 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(* i (+ 2 (/ 1 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(* i (+ 2 (/ 1 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (* 2 (/ i alpha)) (/ 1 alpha))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(+ (* 2 (/ i alpha)) (/ 1 alpha))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(+ (* 2 (/ i alpha)) (/ 1 alpha))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(* 2 (/ i alpha))
(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(* 2 (/ i alpha))
(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(* i (+ (* 2 (/ 1 alpha)) (/ 1 (* alpha i))))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
2
#s(literal 2 binary64)
(+ 2 (* 4 i))
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(+ 2 (* 4 i))
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(+ 2 (* 4 i))
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* i (+ 4 (* 2 (/ 1 i))))
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(* i (+ 4 (* 2 (/ 1 i))))
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(* i (+ 4 (* 2 (/ 1 i))))
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* i (+ 4 (* 2 (/ 1 i))))
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(* i (+ 4 (* 2 (/ 1 i))))
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(* i (+ 4 (* 2 (/ 1 i))))
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(* 1/2 (+ 2 (* 4 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(+ beta (* 1/2 (+ 2 (* 4 i))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(+ beta (* 1/2 (+ 2 (* 4 i))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(+ beta (* 1/2 (+ 2 (* 4 i))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
beta
(* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 1 binary64) beta)
(* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 1 binary64) beta)
(* beta (+ 1 (* 1/2 (/ (+ 2 (* 4 i)) beta))))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal 1 binary64) beta)
beta
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) beta) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) beta) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (* 4 i)) beta)) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) beta) #s(literal -1 binary64)) (neg.f64 beta))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(+ (* 2 i) (* beta (+ 1 (/ 1 beta))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(+ (* 2 i) (* beta (+ 1 (/ 1 beta))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(+ (* 2 i) (* beta (+ 1 (/ 1 beta))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (+ 2 (/ (* beta (+ 1 (/ 1 beta))) i)))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(* i (+ 2 (/ (* beta (+ 1 (/ 1 beta))) i)))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(* i (+ 2 (/ (* beta (+ 1 (/ 1 beta))) i)))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) i)) 2)))
(neg.f64 (fma.f64 i #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) beta)))
(* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) i)) 2)))
(neg.f64 (fma.f64 i #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) beta)))
(* -1 (* i (- (* -1 (/ (* beta (+ 1 (/ 1 beta))) i)) 2)))
(neg.f64 (fma.f64 i #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) beta)))
(+ 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (+ (* 2 (/ i beta)) (/ 1 beta)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ i beta)) (/ 1 beta)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ i beta)) (/ 1 beta)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(* 2 (/ i beta))
(/.f64 (*.f64 #s(literal 2 binary64) i) beta)
(* i (+ (* 2 (/ 1 beta)) (+ (/ 1 i) (/ 1 (* beta i)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(* i (+ (* 2 (/ 1 beta)) (+ (/ 1 i) (/ 1 (* beta i)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(* i (+ (* 2 (/ 1 beta)) (+ (/ 1 i) (/ 1 (* beta i)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(* 2 (/ i beta))
(/.f64 (*.f64 #s(literal 2 binary64) i) beta)
(* -1 (* i (- (* -1 (/ (+ 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))
(*.f64 i (-.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) i)))
(* -1 (* i (- (* -1 (/ (+ 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))
(*.f64 i (-.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) i)))
(* -1 (* i (- (* -1 (/ (+ 1 (/ 1 beta)) i)) (* 2 (/ 1 beta)))))
(*.f64 i (-.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) i)))
(* 1/2 (/ (+ 2 (* 4 i)) beta))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) beta)
(/ (+ beta (* 1/2 (+ 2 (* 4 i)))) beta)
(/.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) beta)
(/ (+ beta (* 1/2 (+ 2 (* 4 i)))) beta)
(/.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) beta)
(/ (+ beta (* 1/2 (+ 2 (* 4 i)))) beta)
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(/.f64 (.f64 #s(literal -12 binary64) (.f64 i i)) alpha)
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(.f64 #s(literal -12 binary64) (.f64 i i))
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(.f64 #s(literal -12 binary64) (.f64 i i))
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(.f64 #s(literal -12 binary64) (.f64 i i))
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eval237.0ms (1.8%)

Memory: 24.5MiB live, 209.0MiB allocated
Compiler: Compiled 25 898 to 2 528 computations (90.2% saved)

prune189.0ms (1.4%)

Memory

-25.1MiB live, 269.8MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	904	10	914
Fresh	4	13	17
Picked	3	2	5
Done	0	1	1
Total	911	26	937

Accuracy

99.9%

Counts

937 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.6%	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	64.2%	(fma.f64 (.f64 #s(literal 1/2 binary64) beta) (/.f64 beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	45.7%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	44.6%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	47.3%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 beta beta) (.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶	46.0%	(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
	42.4%	(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/2 binary64))
	22.3%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
	20.6%	(/.f64 (fma.f64 (/.f64 (fma.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 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (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 alpha alpha)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.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))))) alpha)))) alpha)
	37.9%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.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)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	34.4%	(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.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)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	60.1%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.2%	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	23.3%	(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
	19.6%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
▶	27.1%	(/.f64 (.f64 (fma.f64 i (.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha)
	11.5%	(/.f64 (*.f64 i (fma.f64 i (/.f64 #s(literal -6 binary64) alpha) #s(literal 2 binary64))) alpha)
	19.5%	(/.f64 (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) alpha)
▶	12.5%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
	8.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))) (.f64 (/.f64 alpha (.f64 (.f64 i i) #s(literal -12 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (.f64 (.f64 i i) #s(literal -12 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))))) alpha)
	8.5%	(/.f64 beta alpha)
	15.1%	(/.f64 #s(literal 1 binary64) alpha)
▶	62.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
▶	65.5%	(.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	31.5%	#s(literal 1 binary64)
✓	56.8%	#s(literal 1/2 binary64)

Compiler

Compiled 1 227 to 574 computations (53.2% saved)

simplify366.0ms (2.8%)

Memory

23.8MiB live, 665.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 i (/.f64 #s(literal -12 binary64) alpha))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 i (.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha)
✓	cost-diff	320	(fma.f64 i (*.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
✓	cost-diff	512	(.f64 (fma.f64 i (.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) i)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
✓	cost-diff	0	(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	0	(fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.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 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))

Rules

14 512×	`accelerator-lowering-fma.f32`
14 512×	`accelerator-lowering-fma.f64`
4 176×	`-lowering-.f32`
4 176×	`-lowering-.f64`
3 788×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	292
1	103	286
2	303	286
3	1169	282
4	4054	278
5	6353	278
0	8078	251

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1) 1/2)
(+ (* (- beta alpha) (/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1)
(- beta alpha)
beta
alpha
(/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))
(+ beta alpha)
(* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2))))
(+ beta (+ (* 2 i) alpha))
(+ (* 2 i) alpha)
2
i
(+ alpha (+ beta (+ (* 2 i) 2)))
(+ beta (+ (* 2 i) 2))
(+ (* 2 i) 2)
1
1/2
(+ (* 1/4 beta) 1/2)
1/4
beta
1/2
(/ (* 2 i) alpha)
(* 2 i)
2
i
alpha
(+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))))
1/2
(* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))
(/ (- beta alpha) (+ 2 (+ beta alpha)))
(- beta alpha)
beta
alpha
(+ 2 (+ beta alpha))
2
(+ beta alpha)
(/ (* (+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2))) 1/2) alpha)
(* (+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2))) 1/2)
(+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2)))
i
(* i (/ -12 alpha))
(/ -12 alpha)
-12
alpha
(+ (* i 4) (+ (* beta 2) 2))
4
(+ (* beta 2) 2)
beta
2
1/2

Outputs
(* (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1) 1/2)
(fma.f64 (-.f64 beta alpha) (/.f64 (.f64 (+.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
(+ (* (- beta alpha) (/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))
(/.f64 (+.f64 beta alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(+ beta alpha)
(+.f64 beta alpha)
(* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2))))
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(+ beta (+ (* 2 i) alpha))
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))
(+ (* 2 i) alpha)
(fma.f64 #s(literal 2 binary64) i alpha)
2
#s(literal 2 binary64)
i
(+ alpha (+ beta (+ (* 2 i) 2)))
(+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+ beta (+ (* 2 i) 2))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(+ (* 2 i) 2)
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* 1/4 beta) 1/2)
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
beta
1/2
#s(literal 1/2 binary64)
(/ (* 2 i) alpha)
(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
2
#s(literal 2 binary64)
i
alpha
(+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(/ (- beta alpha) (+ 2 (+ beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ 2 (+ beta alpha))
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ beta alpha)
(+.f64 beta alpha)
(/ (* (+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2))) 1/2) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 i (fma.f64 (/.f64 i alpha) #s(literal -6 binary64) #s(literal 2 binary64)) beta)) alpha)
(* (+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2))) 1/2)
(+.f64 #s(literal 1 binary64) (fma.f64 i (fma.f64 (/.f64 i alpha) #s(literal -6 binary64) #s(literal 2 binary64)) beta))
(+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2)))
(fma.f64 i (fma.f64 i (/.f64 #s(literal -12 binary64) alpha) #s(literal 4 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))
i
(* i (/ -12 alpha))
(/.f64 (*.f64 i #s(literal -12 binary64)) alpha)
(/ -12 alpha)
(/.f64 #s(literal -12 binary64) alpha)
-12
#s(literal -12 binary64)
alpha
(+ (* i 4) (+ (* beta 2) 2))
(fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)))
4
#s(literal 4 binary64)
(+ (* beta 2) 2)
(fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))
beta
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)

localize335.0ms (2.6%)

Memory

-1.1MiB live, 348.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (fma.f64 i (.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 i (*.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 i (/.f64 #s(literal -12 binary64) alpha))
✓	accuracy	98.1%	(/.f64 (.f64 (fma.f64 i (.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
✓	accuracy	70.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
✓	accuracy	76.1%	(fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
✓	accuracy	70.0%	(/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))

Samples

169.0ms	35×	2	valid
42.0ms	175×	0	valid
36.0ms	1×	5	exit
20.0ms	18×	3	valid
14.0ms	27×	1	valid

Compiler

Compiled 266 to 41 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 252.0ms

ival-mult: 200.0ms (79.4% of total)

ival-add: 25.0ms (9.9% of total)

adjust: 12.0ms (4.8% of total)

ival-div: 12.0ms (4.8% of total)

ival-sub: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series43.0ms (0.3%)

Memory

-8.6MiB live, 73.7MiB allocated

Counts

16 → 444

Calls

Call 1

Inputs
#<alt (* (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1) 1/2)>
#<alt (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1)>
#<alt (- beta alpha)>
#<alt (/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))>
#<alt (+ (* 1/4 beta) 1/2)>
#<alt (/ (* 2 i) alpha)>
#<alt (* 2 i)>
#<alt (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))))>
#<alt (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))>
#<alt (/ (- beta alpha) (+ 2 (+ beta alpha)))>
#<alt (* (+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2))) 1/2)>
#<alt (+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2)))>
#<alt (/ (* (+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2))) 1/2) alpha)>
#<alt (* i (/ -12 alpha))>
#<alt (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2))))>
#<alt (+ 2 (+ beta alpha))>

Outputs
#<alt (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))>
#<alt (+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))>
#<alt (+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))>
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#<alt (* -12 (/ i alpha))>
#<alt (* -12 (/ i alpha))>
#<alt (* -12 (/ i alpha))>
#<alt (* -12 (/ i alpha))>
#<alt (* -12 (/ i alpha))>
#<alt (* -12 (/ i alpha))>
#<alt (* -12 (/ i alpha))>
#<alt (* -12 (/ i alpha))>
#<alt (* -12 (/ i alpha))>
#<alt (* -12 (/ i alpha))>
#<alt (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))>
#<alt (+ (* beta (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))>
#<alt (+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))>
#<alt (+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))>
#<alt (* (+ 2 (+ alpha beta)) (+ alpha beta))>
#<alt (+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))>
#<alt (+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))>
#<alt (+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (* 2 (/ (+ alpha beta) i)))))>
#<alt (* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))>
#<alt (* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))>
#<alt (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))>
#<alt (+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))>
#<alt (+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))>
#<alt (+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	inf	(/ (- beta alpha) (+ 2 (+ beta alpha)))
3.0ms	beta	@	-inf	(/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))
1.0ms	alpha	@	0	(/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))
1.0ms	beta	@	0	(/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))
1.0ms	i	@	0	(/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))

rewrite427.0ms (3.3%)

Memory

23.4MiB live, 937.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 108×	`-lowering-.f32`
6 108×	`-lowering-.f64`
4 054×	`accelerator-lowering-fma.f32`
4 054×	`accelerator-lowering-fma.f64`
3 786×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	210
1	281	204
2	2925	204
0	8819	183

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 647

Calls

Call 1

Inputs
(* (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1) 1/2)
(+ (* (- beta alpha) (/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))) 1)
(- beta alpha)
(/ (+ beta alpha) (* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2)))))
(+ (* 1/4 beta) 1/2)
(/ (* 2 i) alpha)
(* 2 i)
(+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))))
(* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))
(/ (- beta alpha) (+ 2 (+ beta alpha)))
(* (+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2))) 1/2)
(+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2)))
(/ (* (+ (* i (* i (/ -12 alpha))) (+ (* i 4) (+ (* beta 2) 2))) 1/2) alpha)
(* i (/ -12 alpha))
(* (+ beta (+ (* 2 i) alpha)) (+ alpha (+ beta (+ (* 2 i) 2))))
(+ 2 (+ beta alpha))

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

simplify447.0ms (3.4%)

Memory

11.3MiB live, 839.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 910×	`accelerator-lowering-fma.f32`
5 910×	`accelerator-lowering-fma.f64`
5 162×	`+-lowering-+.f64`
5 162×	`+-lowering-+.f32`
5 066×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1347	16165
1	4560	14776
0	8341	13502

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
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1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
(+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
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1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
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(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
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(+ 1 (+ (* -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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2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
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(* 1/4 (/ (+ alpha beta) (pow i 2)))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2)) i))) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))))) i))) (+ (* -1/64 (* (+ alpha beta) (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2))) (* 1/16 (* (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2))))) i)) (* 1/16 (* (+ alpha beta) (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta)))))) i)) (* 1/4 (+ alpha beta))) (pow i 2))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* 1/4 beta))
(* 1/4 beta)
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* 1/4 beta)
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 (/ i alpha))
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1/2 (/ alpha (+ 2 alpha)))
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1/2
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
1/2
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (/ beta (+ 2 beta)))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))
-1/2
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2)
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2)
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2)
-1/2
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2)
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2)
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* 1/2 (+ 2 (* 2 beta)))
(+ (* 1/2 (+ 2 (* 2 beta))) (* 2 i))
(+ (* 1/2 (+ 2 (* 2 beta))) (* i (+ 2 (* -6 (/ i alpha)))))
(+ (* 1/2 (+ 2 (* 2 beta))) (* i (+ 2 (* -6 (/ i alpha)))))
(* -6 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 2 (/ 1 i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 1/2 (/ (+ 2 (* 2 beta)) (pow i 2))) (* 2 (/ 1 i))) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 1/2 (/ (+ 2 (* 2 beta)) (pow i 2))) (* 2 (/ 1 i))) (* 6 (/ 1 alpha))))
(* -6 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 2 (/ 1 i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2) i)) (* 6 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ 2 (* 2 beta)) i)) 2) i)) (* 6 (/ 1 alpha))))
(* -6 (/ (pow i 2) alpha))
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))))
(* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))))
(+ beta (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))))
(+ beta (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))))
(+ beta (* 1/2 (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))))
beta
(* beta (+ 1 (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta))))
(* beta (+ 1 (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta))))
(* beta (+ 1 (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta))))
beta
(* -1 (* beta (- (* -1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 1)))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 1)))
(* -1 (* beta (- (* -1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 1)))
(+ 2 (* 2 beta))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* 2 beta) (* i (+ 4 (* -12 (/ i alpha))))))
(+ 2 (+ (* 2 beta) (* i (+ 4 (* -12 (/ i alpha))))))
(* -12 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 4 (/ 1 i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (/ 2 (pow i 2)))) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (/ 2 (pow i 2)))) (* 12 (/ 1 alpha))))
(* -12 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 4 (/ 1 i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4) i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4) i)) (* 12 (/ 1 alpha))))
(* -12 (/ (pow i 2) alpha))
(/ (+ (* -12 (pow i 2)) (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (+ (* -12 (pow i 2)) (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (+ (* -12 (pow i 2)) (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i)))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -12 (/ (pow i 2) alpha)) (+ (* 2 beta) (* 4 i))))
(* 2 beta)
(* beta (+ 2 (+ (* -12 (/ (pow i 2) (* alpha beta))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* beta (+ 2 (+ (* -12 (/ (pow i 2) (* alpha beta))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* beta (+ 2 (+ (* -12 (/ (pow i 2) (* alpha beta))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* 2 beta)
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 2)))
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) beta)) 2)))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* i (+ (* -6 (/ i (pow alpha 2))) (* 2 (/ 1 alpha)))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* i (+ (* -6 (/ i (pow alpha 2))) (* 2 (/ 1 alpha)))))
(* -6 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (- (* 2 (/ 1 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) (pow i 2))) (/ 2 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) (pow i 2))) (/ 2 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(* -6 (/ (pow i 2) (pow alpha 2)))
(* (pow i 2) (- (* 2 (/ 1 (* alpha i))) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))) i)) (* 6 (/ 1 (pow alpha 2)))))
(* (pow i 2) (- (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))) i)) (* 6 (/ 1 (pow alpha 2)))))
(* -6 (/ (pow i 2) (pow alpha 2)))
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))
(/ (+ (* -6 (pow i 2)) (* 1/2 (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(/ (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (+ (* -6 (/ (pow i 2) alpha)) (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 6 (/ (pow i 2) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 6 (/ (pow i 2) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 6 (/ (pow i 2) alpha))) alpha))
(* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha))
(+ (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha)) (/ beta alpha))
(+ (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha)) (/ beta alpha))
(+ (* 1/2 (/ (+ 2 (+ (* -12 (/ (pow i 2) alpha)) (* 4 i))) alpha)) (/ beta alpha))
(/ beta alpha)
(* beta (+ (* 1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha)))
(* beta (+ (* 1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha)))
(* beta (+ (* 1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha)))
(/ beta alpha)
(* -1 (* beta (- (* -1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1/2 (/ (+ (* -12 (/ (pow i 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (/ 1 alpha))))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* -12 (/ i alpha))
(* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))
(+ (* beta (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(+ (* beta (+ 2 (+ beta (+ (* 2 alpha) (* 4 i))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (+ (* -1 (+ alpha (* 2 i))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)))) beta))))
(* (+ 2 (+ alpha beta)) (+ alpha beta))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (* 2 (/ (+ alpha beta) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))
(* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))
(+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 (+ beta (* 2 i)))) (+ (* -1 (+ beta (* 2 i))) (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)))) alpha))))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))

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

eval226.0ms (1.7%)

Memory: -31.4MiB live, 337.0MiB allocated
Compiler: Compiled 55 494 to 4 382 computations (92.1% saved)

prune285.0ms (2.2%)

Memory

-3.0MiB live, 316.3MiB allocated

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1 127	8	1 135
Fresh	2	16	18
Picked	2	3	5
Done	0	3	3
Total	1 131	30	1 161

Accuracy

99.9%

Counts

1 161 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.3%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	48.9%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
✓	66.6%	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	62.4%	(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	64.2%	(fma.f64 (.f64 #s(literal 1/2 binary64) beta) (/.f64 beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	45.7%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	44.6%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	47.3%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 beta beta) (.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	46.0%	(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
	42.4%	(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 beta beta) (.f64 i i)) #s(literal 1/2 binary64))
	22.3%	(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
	49.9%	(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
	20.6%	(/.f64 (fma.f64 (/.f64 (fma.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 (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (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 alpha alpha)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (/.f64 (-.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))))) alpha)))) alpha)
	60.1%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.2%	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	23.3%	(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) alpha)
	19.6%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
✓	27.1%	(/.f64 (.f64 (fma.f64 i (.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha)
	11.5%	(/.f64 (*.f64 i (fma.f64 i (/.f64 #s(literal -6 binary64) alpha) #s(literal 2 binary64))) alpha)
	19.5%	(/.f64 (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) alpha)
✓	12.5%	(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
	8.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))))) (.f64 (/.f64 alpha (.f64 (.f64 i i) #s(literal -12 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (.f64 (.f64 i i) #s(literal -12 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) (.f64 i #s(literal 4 binary64))) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))))) alpha)
	8.5%	(/.f64 beta alpha)
	15.1%	(/.f64 #s(literal 1 binary64) alpha)
	43.4%	(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))
	41.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha #s(literal 2 binary64)))))
	3.5%	(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
	4.6%	(*.f64 beta #s(literal 1/4 binary64))
✓	31.5%	#s(literal 1 binary64)
✓	56.8%	#s(literal 1/2 binary64)

Compiler

Compiled 1 534 to 522 computations (66% saved)

regimes162.0ms (1.2%)

Memory

19.8MiB live, 137.0MiB allocated

Counts

50 → 2

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (fma.f64 i (*.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha)

(/.f64 (fma.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))))) #s(literal 1 binary64)) #s(literal 2 binary64))

Calls

7 calls:

39.0ms	(/.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)))
36.0ms	beta
33.0ms	(/.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))
13.0ms	(*.f64 #s(literal 2 binary64) i)
13.0ms	alpha

Results

Accuracy	Segments	Branch
91.7%	2	`alpha`
76.1%	1	`beta`
76.1%	1	`i`
98.2%	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))`
98.2%	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))`
98.2%	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)))`
76.1%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes44.0ms (0.3%)

Memory

-17.1MiB live, 60.5MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (fma.f64 i (*.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha)

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

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

Calls

3 calls:

19.0ms

(/.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))

14.0ms

(+.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))

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)))

Results

Accuracy	Segments	Branch
96.3%	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))`
96.3%	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))`
96.3%	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)

regimes33.0ms (0.3%)

Memory

8.0MiB live, 46.1MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (fma.f64 i (*.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha)

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

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

Calls

3 calls:

15.0ms

(/.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))

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)))

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
95.4%	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))`
95.4%	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))`
95.4%	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 90 to 41 computations (54.4% saved)

regimes33.0ms (0.2%)

Memory

-12.7MiB live, 42.9MiB allocated

Counts

34 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

15.0ms

(/.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))

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)))

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
95.2%	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))`
95.2%	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))`
95.2%	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)

regimes28.0ms (0.2%)

Memory

1.8MiB live, 39.2MiB allocated

Counts

30 → 3

Calls

Call 1

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

#s(literal 1/2 binary64)

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

Calls

3 calls:

13.0ms

(/.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))

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)))

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))

Results

Accuracy	Segments	Branch
94.1%	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))`
94.1%	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))`
94.1%	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)

regimes40.0ms (0.3%)

Memory

5.5MiB live, 43.1MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

#s(literal 1/2 binary64)

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

Calls

4 calls:

20.0ms	(/.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))
7.0ms	alpha
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))

Results

Accuracy	Segments	Branch
79.5%	2	`alpha`
89.4%	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))`
89.4%	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))`
89.4%	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)

regimes18.0ms (0.1%)

Memory

-9.7MiB live, 27.7MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

#s(literal 1/2 binary64)

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

Calls

3 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

(/.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))

Results

Accuracy	Segments	Branch
89.4%	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))`
89.4%	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))`
89.4%	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 90 to 41 computations (54.4% saved)

regimes12.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

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
88.9%	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))`
88.9%	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))`
88.9%	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)

regimes18.0ms (0.1%)

Memory

-21.0MiB live, 18.9MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms

(/.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 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))

Results

Accuracy	Segments	Branch
85.1%	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))`
85.1%	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))`
85.1%	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

24.1MiB live, 24.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	alpha
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 (+.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
61.5%	2	`alpha`
80.4%	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))`
80.4%	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))`
80.4%	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)

regimes27.0ms (0.2%)

Memory

-13.8MiB live, 24.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	beta
2.0ms	(*.f64 #s(literal 2 binary64) i)
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)))
2.0ms	(+.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
56.8%	1	`i`
56.8%	1	`(*.f64 #s(literal 2 binary64) i)`
67.4%	2	`beta`
71.3%	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))`
71.3%	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))`
71.3%	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 104 to 52 computations (50% saved)

regimes42.0ms (0.3%)

Memory

-6.3MiB live, 28.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

7 calls:

34.0ms	i
1.0ms	beta
1.0ms	(*.f64 #s(literal 2 binary64) i)
1.0ms	alpha
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
56.8%	1	`i`
56.8%	1	`(*.f64 #s(literal 2 binary64) i)`
56.8%	1	`alpha`
56.8%	1	`beta`
56.8%	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))`
56.8%	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))`
56.8%	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)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999998995175435	-0.9987974586424985

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999822842421	0.9999999999999999
0.0ms	-0.9999998995175435	-0.9987974586424985

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999822842421	0.9999999999999999
0.0ms	-0.986991389984926	-0.0031761597794340117

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999822842421	0.9999999999999999
0.0ms	-0.986991389984926	-0.0031761597794340117

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.189036168303665e-9	4.728224758065658e-9
0.0ms	-0.986991389984926	-0.0031761597794340117

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.189036168303665e-9	4.728224758065658e-9
0.0ms	-0.986991389984926	-0.0031761597794340117

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	2.189036168303665e-9	4.728224758065658e-9
0.0ms	-0.986991389984926	-0.0031761597794340117

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	0.18352704228149358	0.9999999822842421
0.0ms	-0.986991389984926	-0.0031761597794340117

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	0.18352704228149358	0.9999999822842421
0.0ms	-0.986991389984926	-0.0031761597794340117

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	0.18352704228149358	0.9999999822842421
0.0ms	-0.986991389984926	-0.0031761597794340117

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.18352704228149358	0.9999999822842421

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify15.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
22×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	832
1	108	832
2	112	832
3	114	832
4	115	832

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 -8998192055486251/9007199254740992 binary64)) (/.f64 (.f64 (fma.f64 i (*.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha) (/.f64 (fma.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))))) #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 -8998192055486251/9007199254740992 binary64)) (/.f64 (.f64 (fma.f64 i (.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 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 9007199164668999/9007199254740992 binary64)) (.f64 (fma.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)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 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 (fma.f64 i (.f64 i (/.f64 #s(literal -12 binary64) alpha)) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 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 9007199164668999/9007199254740992 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) beta) (/.f64 beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 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 9007199164668999/9007199254740992 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) beta) (/.f64 beta (.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 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 4835703278458517/1208925819614629174706176 binary64)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 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 (fma.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 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
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#s(literal 1/2 binary64)

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

soundness1.3s (9.7%)

Memory

-18.9MiB live, 1 259.9MiB allocated

Rules

9 564×	`accelerator-lowering-fma.f32`
9 564×	`accelerator-lowering-fma.f64`
6 252×	`-lowering-.f32`
6 252×	`-lowering-.f64`
6 196×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	106
1	115	106
2	1187	106
0	8698	96
0	1856	20147
1	6242	19629
0	8110	17855
0	30	162
1	197	162
2	1802	162
0	8754	140
0	933	12962
1	3169	11337
0	8840	10203
0	325	3995
1	980	3632
2	2548	3493
3	7076	3461
0	8091	3099
0	42	356
1	349	356
2	3993	356
0	8135	305
0	39	210
1	281	204
2	2925	204
0	8819	183

Stop Event

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

Compiler

Compiled 1 498 to 553 computations (63.1% saved)

preprocess80.0ms (0.6%)

Memory: -13.4MiB live, 181.5MiB allocated
Compiler: Compiled 1 734 to 194 computations (88.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze46.0ms (0.3%)

sample1.9s (14.8%)

preprocess657.0ms (5%)

explain607.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify421.0ms (3.2%)

localize88.0ms (0.7%)

series70.0ms (0.5%)

rewrite414.0ms (3.2%)

simplify447.0ms (3.4%)

eval92.0ms (0.7%)

prune93.0ms (0.7%)

simplify354.0ms (2.7%)

localize190.0ms (1.5%)

series96.0ms (0.7%)

rewrite425.0ms (3.2%)

simplify524.0ms (4%)

eval344.0ms (2.6%)

prune426.0ms (3.2%)

simplify430.0ms (3.3%)

localize93.0ms (0.7%)

series47.0ms (0.4%)

rewrite426.0ms (3.2%)

simplify485.0ms (3.7%)

eval237.0ms (1.8%)

prune189.0ms (1.4%)

simplify366.0ms (2.8%)

localize335.0ms (2.6%)

series43.0ms (0.3%)

rewrite427.0ms (3.3%)

simplify447.0ms (3.4%)

eval226.0ms (1.7%)

prune285.0ms (2.2%)

regimes162.0ms (1.2%)

regimes44.0ms (0.3%)

regimes33.0ms (0.3%)

regimes33.0ms (0.2%)

regimes28.0ms (0.2%)

regimes40.0ms (0.3%)

regimes18.0ms (0.1%)

regimes12.0ms (0.1%)

regimes18.0ms (0.1%)

regimes12.0ms (0.1%)

regimes27.0ms (0.2%)

regimes42.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness1.3s (9.7%)

preprocess80.0ms (0.6%)

end0.0ms (0%)

Profiling