Metrics for Octave 3.8, jcobi/3

analyze2.0ms (0%)

Memory

5.8MiB live, 5.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
50%	28.1%	28.1%	43.8%	0%	0%	0%	2
75%	42.1%	14%	43.8%	0%	0%	0%	3
87.5%	49.2%	7%	43.8%	0%	0%	0%	4
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	5
96.9%	54.4%	1.8%	43.8%	0%	0%	0%	6
98.4%	55.3%	0.9%	43.8%	0%	0%	0%	7
99.2%	55.7%	0.4%	43.8%	0%	0%	0%	8
99.6%	56%	0.2%	43.8%	0%	0%	0%	9
99.8%	56.1%	0.1%	43.8%	0%	0%	0%	10
99.9%	56.1%	0.1%	43.8%	0%	0%	0%	11
100%	56.1%	0%	43.8%	0%	0%	0%	12

Compiler

Compiled 43 to 19 computations (55.8% saved)

sample1.3s (8.2%)

Memory

-15.5MiB live, 1 943.0MiB allocated

Samples

914.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 672.0ms

ival-add: 290.0ms (43.2% of total)

ival-div: 186.0ms (27.7% of total)

ival-mult: 129.0ms (19.2% of total)

ival->: 41.0ms (6.1% of total)

exact: 13.0ms (1.9% of total)

ival-and: 10.0ms (1.5% of total)

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

Bogosity

preprocess1.0s (6.5%)

Memory

32.2MiB live, 1 514.5MiB allocated

Algorithm

2×	egg-herbie

Rules

26 544×	`accelerator-lowering-fma.f32`
26 544×	`accelerator-lowering-fma.f64`
11 564×	`+-lowering-+.f64`
11 564×	`+-lowering-+.f32`
10 674×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	176
1	140	164
2	476	162
3	2813	152
4	6617	152
0	14	27
1	35	27
2	112	27
3	595	25
4	4035	25
5	4712	25
6	4875	25
7	4992	25
8	5050	25
9	5050	25
10	5422	25
11	5584	25
12	5729	25
13	5729	25
14	5729	25
15	5837	25
16	5871	25
17	5872	25
18	5872	25
19	6020	25
20	6034	25
21	6048	25
22	6048	25
0	12896	25

Stop Event

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

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 6 binary64))))

Call 2

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

Outputs
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (* (+ alpha 1) (+ beta 1)) (* (+ alpha (+ beta 2)) (* (+ alpha (+ beta 2)) (+ (+ alpha beta) 3))))
(/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1))
(/ (* (+ beta 1) (- 1 alpha)) (* (+ 2 (- beta alpha)) (* (+ 2 (- beta alpha)) (+ beta (- 3 alpha)))))
(/ (/ (/ (+ (+ (+ alpha (neg beta)) (* (neg beta) alpha)) 1) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ (+ alpha (neg beta)) (* 2 1)) 1))
(/ (* (+ (neg beta) 1) (+ alpha 1)) (* (+ alpha (- 3 beta)) (* (+ (- beta alpha) -2) (+ (- beta alpha) -2))))
(neg (/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1)))
(/ (* (+ beta 1) (- 1 alpha)) (* (+ 2 (- beta alpha)) (* (+ 2 (- beta alpha)) (+ alpha (- -3 beta)))))
(neg (/ (/ (/ (+ (+ (+ alpha (neg beta)) (* (neg beta) alpha)) 1) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ (+ alpha (neg beta)) (* 2 1)) 1)))
(/ (* (+ (neg beta) 1) (+ alpha 1)) (* (+ (- beta alpha) -3) (* (+ (- beta alpha) -2) (+ (- beta alpha) -2))))
(/ (/ (/ (+ (+ (+ beta alpha) (* alpha beta)) 1) (+ (+ beta alpha) (* 2 1))) (+ (+ beta alpha) (* 2 1))) (+ (+ (+ beta alpha) (* 2 1)) 1))
(/ (* (+ alpha 1) (+ beta 1)) (* (+ alpha (+ beta 2)) (* (+ alpha (+ beta 2)) (+ (+ alpha beta) 3))))

Symmetry

(sort alpha beta)

explain221.0ms (1.4%)

Memory

14.9MiB live, 405.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))`	o/n	10	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))`	overflow	10
↳	`(*.f64 beta alpha)`	overflow	10
↳	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))`	overflow	10

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 322 to 60 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 13.0ms (44.7% of total)

ival-div: 8.0ms (27.5% of total)

ival-mult: 6.0ms (20.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Memory

-34.3MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.9%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

95.9%

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

Compiler

Compiled 37 to 14 computations (62.2% saved)

simplify1.3s (8.4%)

Memory

-0.3MiB live, 1 126.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	320	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Rules

26 544×	`accelerator-lowering-fma.f32`
26 544×	`accelerator-lowering-fma.f64`
11 564×	`+-lowering-+.f64`
11 564×	`+-lowering-+.f32`
10 674×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	35	100
2	112	100
3	595	92
4	4035	92
5	4712	92
6	4875	92
7	4992	92
8	5050	92
9	5050	92
10	5422	92
11	5584	92
12	5729	92
13	5729	92
14	5729	92
15	5837	92
16	5871	92
17	5872	92
18	5872	92
19	6020	92
20	6034	92
21	6048	92
22	6048	92
0	12896	91

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize67.0ms (0.4%)

Memory

24.1MiB live, 101.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	96.2%	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))

Samples

49.0ms

256×

valid

Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 23.0ms (57.8% of total)

ival-add: 13.0ms (32.6% of total)

ival-div: 4.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.3%)

Memory

-10.9MiB live, 62.4MiB allocated

Counts

6 → 120

Calls

Call 1

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

Outputs
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))>
#<alt (* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))>
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#<alt (* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))>
#<alt (/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))>
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#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
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#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
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#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (/ (+ 1 alpha) (pow (+ 2 alpha) 2))>
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#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))>
#<alt (+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)>
#<alt (* -1 (/ (- (* -1 alpha) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (+ 3 beta)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (+ 3 alpha)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (/ (+ 1 beta) (+ 2 beta))>
#<alt (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ 1 beta)>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))>
#<alt (* -1 (- (* -1 beta) 1))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (/ (+ 1 alpha) (+ 2 alpha))>
#<alt (+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4))))) (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ 1 alpha)>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))>
#<alt (* -1 (- (* -1 alpha) 1))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt beta>
#<alt (+ beta (* alpha (+ 1 beta)))>
#<alt (+ beta (* alpha (+ 1 beta)))>
#<alt (+ beta (* alpha (+ 1 beta)))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 (+ beta (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ beta (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ beta (/ beta alpha))))>
#<alt (* -1 (* alpha (- (* -1 beta) 1)))>
#<alt (* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))>
#<alt (* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))>
#<alt (* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))>
#<alt alpha>
#<alt (+ alpha (* beta (+ 1 alpha)))>
#<alt (+ alpha (* beta (+ 1 alpha)))>
#<alt (+ alpha (* beta (+ 1 alpha)))>
#<alt (* beta (+ 1 alpha))>
#<alt (* beta (+ 1 (+ alpha (/ alpha beta))))>
#<alt (* beta (+ 1 (+ alpha (/ alpha beta))))>
#<alt (* beta (+ 1 (+ alpha (/ alpha beta))))>
#<alt (* -1 (* beta (- (* -1 alpha) 1)))>
#<alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))>
#<alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))>
#<alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))>

Calls

30 calls:

Time	Variable		Point	Expression
14.0ms	alpha	@	0	(+ (+ alpha beta) (* beta alpha))
6.0ms	alpha	@	-inf	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	beta	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	alpha	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	beta	@	-inf	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))

rewrite458.0ms (3%)

Memory

-26.7MiB live, 718.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 826×	`-lowering-.f32`
4 826×	`-lowering-.f64`
4 700×	`/-lowering-/.f32`
4 700×	`/-lowering-/.f64`
3 294×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	111	68
2	1149	68
0	8157	64

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 353

Calls

Call 1

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

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

simplify413.0ms (2.7%)

Memory

24.8MiB live, 866.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 252×	`+-lowering-+.f64`
7 252×	`+-lowering-+.f32`
6 896×	`accelerator-lowering-fma.f32`
6 896×	`accelerator-lowering-fma.f64`
5 092×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	700	5640
1	2487	5408
0	8106	5128

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))

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

eval92.0ms (0.6%)

Memory: 0.0MiB live, 192.8MiB allocated
Compiler: Compiled 23 736 to 1 982 computations (91.6% saved)

prune113.0ms (0.7%)

Memory

-17.2MiB live, 259.7MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	452	23	475
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	453	23	476

Accuracy

99.8%

Counts

476 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.9%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 alpha (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -3 binary64)) alpha) #s(literal -1 binary64)))))
▶	95.9%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	93.2%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	54.8%	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) alpha)))) beta) (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) alpha)) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) alpha)))) (-.f64 #s(literal 0 binary64) beta)) (-.f64 #s(literal -1 binary64) alpha)) (-.f64 #s(literal 0 binary64) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	55.9%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	94.3%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
	93.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	62.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	48.8%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	56.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	87.5%	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
	87.5%	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
	86.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
	4.1%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
	46.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
▶	54.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	58.1%	(/.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta #s(literal 2 binary64)))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	57.3%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	95.5%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))))
	44.4%	(+.f64 (fma.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))))) (/.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
	62.5%	(.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
▶	88.3%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))))
	88.3%	(.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))

Compiler

Compiled 1 600 to 772 computations (51.8% saved)

simplify254.0ms (1.7%)

Memory

14.6MiB live, 565.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)))
✓	cost-diff	448	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓	cost-diff	576	(/.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))
✓	cost-diff	1920	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))))
✓	cost-diff	0	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
✓	cost-diff	128	(neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64)))
✓	cost-diff	192	(+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	448	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	cost-diff	192	(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))

Rules

4 862×	`accelerator-lowering-fma.f32`
4 862×	`accelerator-lowering-fma.f64`
3 758×	`-lowering-.f32`
3 758×	`-lowering-.f64`
2 158×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	441
1	131	434
2	449	409
3	3217	406
4	7841	406
0	8214	403

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ alpha beta)) 2))
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
(+ (+ (+ alpha beta) (* beta alpha)) 1)
(+ (+ alpha beta) (* beta alpha))
(+ alpha beta)
alpha
beta
(* beta alpha)
1
(+ (+ alpha beta) (* 2 1))
(* 2 1)
2
(+ (+ 1 (+ alpha beta)) 2)
(+ 1 (+ alpha beta))
(/ (+ 1 alpha) (* beta beta))
(+ 1 alpha)
1
alpha
(* beta beta)
beta
(/ (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha)))
(+ 1 alpha)
1
alpha
(* (+ 2 alpha) (+ 2 alpha))
(+ 2 alpha)
2
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+ (+ alpha beta) (* 2 1))
(+ alpha beta)
beta
(* 2 1)
(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (neg (+ (neg (+ alpha beta)) -3)))
(/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))
(+ alpha (+ (* (+ alpha 1) beta) 1))
alpha
(+ (* (+ alpha 1) beta) 1)
(+ alpha 1)
1
beta
(* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))
(+ alpha (+ beta 2))
(+ beta 2)
2
(neg (+ (neg (+ alpha beta)) -3))
(+ (neg (+ alpha beta)) -3)
(neg (+ alpha beta))
(+ alpha beta)
-3
(* (/ (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)) (+ alpha (+ beta 2))) (/ (+ (+ alpha beta) 1) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))
(/ (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)) (+ alpha (+ beta 2)))
(/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1))
1
(+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)
(+ alpha (+ beta 2))
alpha
(+ beta 2)
beta
2
-1
(/ (+ (+ alpha beta) 1) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))
(+ (+ alpha beta) 1)
(+ alpha beta)
(/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))
(+ alpha (+ (* (+ alpha 1) beta) 1))
(+ (* (+ alpha 1) beta) 1)
(+ alpha 1)

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

localize205.0ms (1.3%)

Memory

-13.5MiB live, 272.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)))
✓	accuracy	96.2%	(/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))
✓	accuracy	88.5%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))))
✓	accuracy	100.0%	(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
✓	accuracy	71.2%	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	98.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	97.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
✓	accuracy	96.2%	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))

Samples

100.0ms

256×

valid

Compiler

Compiled 480 to 46 computations (90.4% saved)

Precisions

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

ival-div: 45.0ms (58.9% of total)

ival-add: 19.0ms (24.9% of total)

ival-mult: 10.0ms (13.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series74.0ms (0.5%)

Memory

33.1MiB live, 113.9MiB allocated

Counts

24 → 504

Calls

Call 1

Inputs
#<alt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ alpha beta)) 2))>
#<alt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))>
#<alt (* 2 1)>
#<alt (+ (+ alpha beta) (* beta alpha))>
#<alt (/ (+ 1 alpha) (* beta beta))>
#<alt (+ 1 alpha)>
#<alt (* beta beta)>
#<alt (/ (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (+ (+ (+ alpha beta) (* 2 1)) 1)>
#<alt (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha)))>
#<alt (/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (neg (+ (neg (+ alpha beta)) -3)))>
#<alt (+ (neg (+ alpha beta)) -3)>
#<alt (neg (+ (neg (+ alpha beta)) -3))>
#<alt (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))>
#<alt (* (/ (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)) (+ alpha (+ beta 2))) (/ (+ (+ alpha beta) 1) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))>
#<alt (/ (+ (+ alpha beta) 1) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))>
#<alt (/ (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)) (+ alpha (+ beta 2)))>
#<alt (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1))>
#<alt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))>
#<alt (+ (+ 1 (+ alpha beta)) 2)>
#<alt (* (+ 2 alpha) (+ 2 alpha))>
#<alt (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))>
#<alt (+ alpha (+ beta 2))>
#<alt (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))>

Outputs
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))>
#<alt (* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))>
#<alt (+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))>
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#<alt 4>
#<alt (+ 4 (* 4 alpha))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (pow (+ 2 beta) 2)>
#<alt (+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))>
#<alt (pow (+ 2 alpha) 2)>
#<alt (+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))>
#<alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))>
#<alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))>
#<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)))>
#<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) (+ 1 beta))>
#<alt (+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (/ beta (+ 1 beta)))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))>
#<alt (/ 1 (+ 1 beta))>
#<alt (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta)))))>
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 beta)) (/ beta (+ 1 beta))) (pow alpha 2))) (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta))))))>
#<alt (- (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (* (pow alpha 3) (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (+ (/ beta (* alpha (+ 1 beta))) (/ beta (* (pow alpha 3) (+ 1 beta))))))) (+ (/ 1 (* (pow alpha 2) (+ 1 beta))) (/ beta (* (pow alpha 2) (+ 1 beta)))))>
#<alt (/ -1 (- (* -1 beta) 1))>
#<alt (- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))>
#<alt (- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (+ (/ beta (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 beta) 2) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (pow (- (* -1 beta) 1) 2)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))>
#<alt (/ (+ 2 alpha) (+ 1 alpha))>
#<alt (+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (/ alpha (+ 1 alpha)))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))>
#<alt (/ 1 (+ 1 alpha))>
#<alt (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha)))))>
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 alpha)) (/ alpha (+ 1 alpha))) (pow beta 2))) (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha))))))>
#<alt (- (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (* (pow beta 3) (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (+ (/ alpha (* beta (+ 1 alpha))) (/ alpha (* (pow beta 3) (+ 1 alpha))))))) (+ (/ 1 (* (pow beta 2) (+ 1 alpha))) (/ alpha (* (pow beta 2) (+ 1 alpha)))))>
#<alt (/ 1 (+ 1 alpha))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (* -1 (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha)))>

Calls

126 calls:

Time	Variable		Point	Expression
8.0ms	beta	@	0	(/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1))
4.0ms	alpha	@	inf	(* (/ (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)) (+ alpha (+ beta 2))) (/ (+ (+ alpha beta) 1) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))
4.0ms	beta	@	-inf	(* (/ (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)) (+ alpha (+ beta 2))) (/ (+ (+ alpha beta) 1) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))
4.0ms	beta	@	-inf	(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (neg (+ (neg (+ alpha beta)) -3)))
2.0ms	beta	@	0	(* (/ (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)) (+ alpha (+ beta 2))) (/ (+ (+ alpha beta) 1) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))

rewrite444.0ms (2.9%)

Memory

-4.1MiB live, 893.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 122×	`/-lowering-/.f32`
5 122×	`/-lowering-/.f64`
3 624×	`-lowering-.f32`
3 624×	`-lowering-.f64`
3 054×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	265
1	403	263
2	4622	263
0	9097	254

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 377

Calls

Call 1

Inputs
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ alpha beta)) 2))
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
(* 2 1)
(+ (+ alpha beta) (* beta alpha))
(/ (+ 1 alpha) (* beta beta))
(+ 1 alpha)
(* beta beta)
(/ (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(+ (+ (+ alpha beta) (* 2 1)) 1)
(/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha)))
(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (neg (+ (neg (+ alpha beta)) -3)))
(+ (neg (+ alpha beta)) -3)
(neg (+ (neg (+ alpha beta)) -3))
(/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))
(* (/ (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)) (+ alpha (+ beta 2))) (/ (+ (+ alpha beta) 1) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))
(/ (+ (+ alpha beta) 1) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))
(/ (/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1)) (+ alpha (+ beta 2)))
(/ 1 (+ (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) -1))
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
(+ (+ 1 (+ alpha beta)) 2)
(* (+ 2 alpha) (+ 2 alpha))
(* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))
(+ alpha (+ beta 2))
(/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))

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

simplify1.1s (7.1%)

Memory

23.1MiB live, 829.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 494×	`-lowering-.f32`
5 494×	`-lowering-.f64`
5 004×	`+-lowering-+.f64`
5 004×	`+-lowering-+.f32`
4 890×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2102	22703
1	7298	22703
0	8139	21707

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ 1 beta) (pow (+ 2 beta) 2))
(+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(/ (+ 1 beta) alpha)
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alpha
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alpha
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beta
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beta
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4
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(pow alpha 2)
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(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(pow (+ 2 beta) 2)
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
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(pow (+ 2 alpha) 2)
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(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))
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(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))
(+ 2 beta)
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alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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alpha
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(/ (+ 2 alpha) (+ 1 alpha))
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(/ 1 (+ 1 alpha))
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(/ 1 (+ 1 alpha))
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Outputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
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(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
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(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
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(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
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(* -1 (/ (- (* -1 beta) 1) alpha))
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(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
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(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
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alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
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alpha
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beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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beta
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(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
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(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
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(* -1 (/ (- (* -1 beta) 1) alpha))
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(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
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(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
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(* alpha (+ 1 beta))
(*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* alpha (- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (pow (+ 1 beta) 2) alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha)))
(.f64 alpha (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) alpha))) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(* alpha (- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (+ (/ (pow (+ 1 beta) 2) alpha) (/ (pow (+ 1 beta) 2) (pow alpha 2))))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 (+ beta (pow (+ 1 beta) 2))) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2)))))
(.f64 alpha (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) alpha) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 alpha alpha))))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta) beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) (.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))
(* alpha (- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (pow (+ 1 beta) 2) (* (+ 2 beta) (- (+ 1 (+ beta (pow (+ 1 beta) 2))) (* (+ 1 beta) (+ 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (+ (/ beta alpha) (+ (/ (pow (+ 1 beta) 2) alpha) (/ (pow (+ 1 beta) 2) (pow alpha 2)))))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 (+ beta (pow (+ 1 beta) 2))) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2)))))
(.f64 alpha (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta) beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))))))) (.f64 alpha (.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) alpha) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 alpha alpha)))))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta) beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) (.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))
(* -1 (* alpha (- (* -1 beta) 1)))
(neg.f64 (*.f64 alpha (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64))))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (- (* -1 (+ (* -1 (+ 1 beta)) (* (+ 1 beta) (- (* -1 beta) 1)))) (* -1 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1)))
(.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (+.f64 beta (/.f64 (-.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 beta)))) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64))))) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 1 beta)) (* (+ 1 beta) (- (* -1 beta) 1)))) (* -1 (/ (- (* -1 (pow (+ 1 beta) 2)) (* -1 (* (+ 2 beta) (- (* -1 (+ (* -1 (+ 1 beta)) (* (+ 1 beta) (- (* -1 beta) 1)))) (* -1 (* (+ 2 beta) (- (* -1 beta) 1))))))) alpha))) (* -1 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1)))
(.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (+.f64 beta (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 beta)))) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64)))))))) alpha) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 beta))))) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64))))) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 1 beta)) (* (+ 1 beta) (- (* -1 beta) 1)))) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow (+ 1 beta) 2)) (* -1 (* (+ 2 beta) (- (* -1 (+ (* -1 (+ 1 beta)) (* (+ 1 beta) (- (* -1 beta) 1)))) (* -1 (* (+ 2 beta) (- (* -1 beta) 1)))))))) alpha)) (* -1 (pow (+ 1 beta) 2))) (* -1 (* (+ 2 beta) (- (* -1 (+ (* -1 (+ 1 beta)) (* (+ 1 beta) (- (* -1 beta) 1)))) (* -1 (* (+ 2 beta) (- (* -1 beta) 1))))))) alpha))) (* -1 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1)))
(.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (+.f64 beta (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 beta)))) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64)))))))) alpha) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 beta)))) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64))))))))) alpha) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 beta))))) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64))))) alpha)) #s(literal -1 binary64)))
(/ (pow (+ 1 alpha) 2) (+ 2 alpha))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))
(+ (* beta (- (+ (/ 1 (+ 2 alpha)) (+ (/ alpha (+ 2 alpha)) (/ (pow (+ 1 alpha) 2) (+ 2 alpha)))) (/ (pow (+ 1 alpha) 2) (pow (+ 2 alpha) 2)))) (/ (pow (+ 1 alpha) 2) (+ 2 alpha)))
(fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))
(+ (* beta (- (+ (* beta (- (+ (/ 1 (+ 2 alpha)) (+ (/ alpha (+ 2 alpha)) (/ (pow (+ 1 alpha) 2) (pow (+ 2 alpha) 3)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (+ (/ alpha (pow (+ 2 alpha) 2)) (/ (pow (+ 1 alpha) 2) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (+ 2 alpha)) (+ (/ alpha (+ 2 alpha)) (/ (pow (+ 1 alpha) 2) (+ 2 alpha))))) (/ (pow (+ 1 alpha) 2) (pow (+ 2 alpha) 2)))) (/ (pow (+ 1 alpha) 2) (+ 2 alpha)))
(fma.f64 beta (fma.f64 beta (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (+ (/ alpha (pow (+ 2 alpha) 3)) (/ (pow (+ 1 alpha) 2) (pow (+ 2 alpha) 3)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (+ (/ alpha (pow (+ 2 alpha) 2)) (/ (pow (+ 1 alpha) 2) (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (+ (/ alpha (+ 2 alpha)) (/ (pow (+ 1 alpha) 2) (pow (+ 2 alpha) 3))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (+ (/ alpha (pow (+ 2 alpha) 2)) (/ (pow (+ 1 alpha) 2) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (+ 2 alpha)) (+ (/ alpha (+ 2 alpha)) (/ (pow (+ 1 alpha) 2) (+ 2 alpha))))) (/ (pow (+ 1 alpha) 2) (pow (+ 2 alpha) 2)))) (/ (pow (+ 1 alpha) 2) (+ 2 alpha)))
(fma.f64 beta (fma.f64 beta (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))))))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))
(* beta (+ 1 alpha))
(*.f64 beta (+.f64 #s(literal 1 binary64) alpha))
(* beta (- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (pow (+ 1 alpha) 2) beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)))
(.f64 beta (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
(* beta (- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (+ (/ (pow (+ 1 alpha) 2) beta) (/ (pow (+ 1 alpha) 2) (pow beta 2))))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 (+ alpha (pow (+ 1 alpha) 2))) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2)))))
(.f64 beta (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) beta) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 beta beta))))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha) alpha) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (.f64 beta beta)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))))
(* beta (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (pow (+ 1 alpha) 2) (* (+ 2 alpha) (- (+ 1 (+ alpha (pow (+ 1 alpha) 2))) (* (+ 1 alpha) (+ 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (+ (/ alpha beta) (+ (/ (pow (+ 1 alpha) 2) beta) (/ (pow (+ 1 alpha) 2) (pow beta 2)))))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 (+ alpha (pow (+ 1 alpha) 2))) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2)))))
(.f64 beta (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha) (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha) alpha) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))))) (.f64 beta (.f64 beta beta))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) beta) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 beta beta)))))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha) alpha) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (.f64 beta beta)) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))))
(* beta (+ 1 alpha))
(*.f64 beta (+.f64 #s(literal 1 binary64) alpha))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (+ (* -1 (+ 1 alpha)) (* -1 (pow (+ 1 alpha) 2)))) (* (+ 1 alpha) (+ 2 alpha))) beta)))))
(.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha) alpha)))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal -1 binary64) (neg.f64 alpha))))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 1 alpha)) (* -1 (pow (+ 1 alpha) 2)))) (* -1 (/ (- (* -1 (pow (+ 1 alpha) 2)) (* -1 (* (+ 2 alpha) (- (* -1 (+ (* -1 (+ 1 alpha)) (* -1 (pow (+ 1 alpha) 2)))) (* (+ 1 alpha) (+ 2 alpha)))))) beta))) (* (+ 1 alpha) (+ 2 alpha))) beta)))))
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(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 1 alpha)) (* -1 (pow (+ 1 alpha) 2)))) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow (+ 1 alpha) 2)) (* -1 (* (+ 2 alpha) (- (* -1 (+ (* -1 (+ 1 alpha)) (* -1 (pow (+ 1 alpha) 2)))) (* (+ 1 alpha) (+ 2 alpha))))))) beta)) (* -1 (pow (+ 1 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (+ (* -1 (+ 1 alpha)) (* -1 (pow (+ 1 alpha) 2)))) (* (+ 1 alpha) (+ 2 alpha)))))) beta))) (* (+ 1 alpha) (+ 2 alpha))) beta)))))
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(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (/ (* (+ 2 alpha) (- 1 (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) 1)) beta)))) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* -2 (+ 2 alpha))) beta))) (pow beta 2))
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(+ 1 beta)
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(- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
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(- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
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(- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))
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(* -1 (- (* -1 beta) 1))
(neg.f64 (fma.f64 beta #s(literal -1 binary64) #s(literal -1 binary64)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
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(/ (+ 1 alpha) (+ 2 alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
(+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
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(+ 1 alpha)
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(- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))
(- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
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(- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))
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(* -1 (- (* -1 alpha) 1))
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(+ 3 beta)
(+.f64 beta #s(literal 3 binary64))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) (/.f64 beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (neg.f64 beta)) alpha) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (neg.f64 beta)) alpha) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
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(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (neg.f64 alpha)) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (neg.f64 alpha)) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (neg.f64 alpha)) beta) #s(literal -1 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* 4 alpha))
(fma.f64 alpha #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* alpha (+ 4 alpha)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(+ 4 (* alpha (+ 4 alpha)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
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(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 4 binary64) alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 4 binary64) alpha))))
(pow alpha 2)
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(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 4 binary64) alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 4 binary64) alpha))))
(pow (+ 2 beta) 2)
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))
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(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
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(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
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(pow alpha 2)
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
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(* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))
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(pow (+ 2 alpha) 2)
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(+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))
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(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
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(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
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(pow beta 2)
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(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))
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(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
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(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))
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(+ 2 (+ alpha beta))
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(+ 2 (+ alpha beta))
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alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
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(+ 2 alpha)
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(+ 2 (+ alpha beta))
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(+ 2 (+ alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
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(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
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(/ (+ 2 beta) (+ 1 beta))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta))
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(/ 1 (+ 1 beta))
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(+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta)))))
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(/ (+ 2 alpha) (+ 1 alpha))
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(+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (/ alpha (+ 1 alpha)))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))
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(/ 1 (+ 1 alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))
(+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 alpha (.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 alpha)) (/ alpha (+ 1 alpha))) (pow beta 2))) (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha))))))
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
(- (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (* (pow beta 3) (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (+ (/ alpha (* beta (+ 1 alpha))) (/ alpha (* (pow beta 3) (+ 1 alpha))))))) (+ (/ 1 (* (pow beta 2) (+ 1 alpha))) (/ alpha (* (pow beta 2) (+ 1 alpha)))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta (.f64 beta beta))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 alpha (.f64 beta (+.f64 #s(literal 1 binary64) alpha)))) (/.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta (.f64 beta beta)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta beta))) (/.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta beta)))))
(/ 1 (+ 1 alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))
(+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) beta)))
(+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) beta)))) beta) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))
(+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (* -1 (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) beta)) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))))) beta) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))) beta) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))

eval404.0ms (2.6%)

Memory: 18.0MiB live, 707.6MiB allocated
Compiler: Compiled 105 437 to 6 358 computations (94% saved)

prune337.0ms (2.2%)

Memory

-22.1MiB live, 699.2MiB allocated

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	2 308	28	2 336
Fresh	15	3	18
Picked	4	1	5
Done	0	0	0
Total	2 327	32	2 359

Accuracy

99.8%

Counts

2 359 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	48.7%	(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal -1 binary64))))
	93.3%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	55.9%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	56.5%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
▶	94.3%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
	94.3%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
	94.3%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal -3 binary64)))
	94.3%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) alpha))
	56.6%	(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
	93.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	62.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	48.8%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))
▶	45.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
	56.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	87.5%	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
	49.2%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
	86.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
	46.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
✓	54.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
▶	54.9%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
	54.2%	(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
	32.1%	(/.f64 alpha (*.f64 beta beta))
	56.1%	(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
	51.9%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	4.4%	(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
	45.6%	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	45.2%	(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
	59.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 2 binary64))))
▶	56.5%	(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
	54.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
	53.5%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))

Compiler

Compiled 1 251 to 722 computations (42.3% saved)

simplify341.0ms (2.2%)

Memory

-26.6MiB live, 484.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 beta #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	64	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	cost-diff	1088	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) alpha)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
✓	cost-diff	448	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(+.f64 alpha #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)
✓	cost-diff	640	(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
✓	cost-diff	0	(+.f64 beta #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
✓	cost-diff	128	(neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64)))
✓	cost-diff	192	(+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))
✓	cost-diff	256	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
✓	cost-diff	576	(fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))

Rules

8 582×	`accelerator-lowering-fma.f32`
8 582×	`accelerator-lowering-fma.f64`
3 494×	`-lowering-.f32`
3 494×	`-lowering-.f64`
2 454×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	275
1	131	262
2	450	254
3	2090	246
4	5312	246
0	8208	244

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (neg (+ (neg (+ alpha beta)) -3)))
(/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2)))))
(+ alpha (+ (* (+ alpha 1) beta) 1))
alpha
(+ (* (+ alpha 1) beta) 1)
(+ alpha 1)
1
beta
(+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))
(+ beta 2)
2
(+ alpha (+ beta 2))
(* alpha (+ alpha (+ beta 2)))
(neg (+ (neg (+ alpha beta)) -3))
(+ (neg (+ alpha beta)) -3)
(neg (+ alpha beta))
(+ alpha beta)
-3
(/ 1/4 (+ beta 3))
1/4
(+ beta 3)
beta
3
(* (/ (+ alpha 1) beta) (/ 1 beta))
(/ (+ alpha 1) beta)
(+ alpha 1)
alpha
1
beta
(/ 1 beta)
(/ (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (+ 3 alpha))
(/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha)))
(+ 1 alpha)
1
alpha
(* (+ 2 alpha) (+ 2 alpha))
(+ 2 alpha)
2
(+ 3 alpha)
3
(/ (* (+ 1 beta) (+ 1 beta)) (* (* (+ beta 2) (+ beta 2)) (+ (* (+ beta 2) (+ beta 2)) -1)))
(* (+ 1 beta) (+ 1 beta))
(+ 1 beta)
1
beta
(* (* (+ beta 2) (+ beta 2)) (+ (* (+ beta 2) (+ beta 2)) -1))
(* (+ beta 2) (+ beta 2))
(+ beta 2)
2
(+ (* (+ beta 2) (+ beta 2)) -1)
-1

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

localize119.0ms (0.8%)

Memory

6.1MiB live, 239.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.9%	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	accuracy	58.2%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	accuracy	98.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(+.f64 alpha #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)
✓	accuracy	99.6%	(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
✓	accuracy	100.0%	(+.f64 beta #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	100.0%	(fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
✓	accuracy	71.2%	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))

Samples

61.0ms

256×

valid

Compiler

Compiled 285 to 42 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 16.0ms (38.8% of total)

ival-div: 12.0ms (29.1% of total)

ival-mult: 11.0ms (26.7% of total)

ival-neg: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

series41.0ms (0.3%)

Memory

4.1MiB live, 42.6MiB allocated

Counts

23 → 372

Calls

Call 1

Inputs
#<alt (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))>
#<alt (/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (neg (+ (neg (+ alpha beta)) -3)))>
#<alt (+ (neg (+ alpha beta)) -3)>
#<alt (neg (+ (neg (+ alpha beta)) -3))>
#<alt (/ 1/4 (+ beta 3))>
#<alt (+ beta 3)>
#<alt (* (/ (+ alpha 1) beta) (/ 1 beta))>
#<alt (/ (+ alpha 1) beta)>
#<alt (+ alpha 1)>
#<alt (/ 1 beta)>
#<alt (/ (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (+ 3 alpha))>
#<alt (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha)))>
#<alt (+ 1 alpha)>
#<alt (+ 2 alpha)>
#<alt (/ (* (+ 1 beta) (+ 1 beta)) (* (* (+ beta 2) (+ beta 2)) (+ (* (+ beta 2) (+ beta 2)) -1)))>
#<alt (* (* (+ beta 2) (+ beta 2)) (+ (* (+ beta 2) (+ beta 2)) -1))>
#<alt (+ 1 beta)>
#<alt (+ beta 2)>
#<alt (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2)))))>
#<alt (* alpha (+ alpha (+ beta 2)))>
#<alt (* (+ 2 alpha) (+ 2 alpha))>
#<alt (+ (* (+ beta 2) (+ beta 2)) -1)>
#<alt (* (+ beta 2) (+ beta 2))>

Outputs
#<alt (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))>
#<alt (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (* 2 alpha)))))>
#<alt (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))>
#<alt (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))>
#<alt (pow (+ 2 beta) 2)>
#<alt (+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))>
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))>
#<alt (* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 alpha) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))>
#<alt (+ (* beta (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))>
#<alt (+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (+ (/ 1 (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (+ (/ alpha (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta)) (* -1 (/ (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))))))) beta)))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) beta)) (+ (* -1 (/ (* (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))))))) beta)) (/ (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (+ (* -1 (* (+ 1 alpha) (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) (* -1 (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))))))) beta))) (+ (* -1 (* (+ 1 alpha) (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) (* -1 (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))))))) beta))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))) beta)))) (pow beta 2))>
#<alt (* -1 (+ 3 beta))>
#<alt (- (* -1 alpha) (+ 3 beta))>
#<alt (- (* -1 alpha) (+ 3 beta))>
#<alt (- (* -1 alpha) (+ 3 beta))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1))>
#<alt (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1))>
#<alt (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha)))))>
#<alt (* -1 (+ 3 alpha))>
#<alt (- (* -1 beta) (+ 3 alpha))>
#<alt (- (* -1 beta) (+ 3 alpha))>
#<alt (- (* -1 beta) (+ 3 alpha))>
#<alt (* -1 beta)>
#<alt (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1))>
#<alt (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1))>
#<alt (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1))>
#<alt (* -1 beta)>
#<alt (* -1 (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta)))))>
#<alt (* -1 (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta)))))>
#<alt (* -1 (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta)))))>
#<alt (+ 3 beta)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (+ 3 alpha)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 beta))>
#<alt (+ 1/12 (* beta (- (* 1/108 beta) 1/36)))>
#<alt (+ 1/12 (* beta (- (* beta (+ 1/108 (* -1/324 beta))) 1/36)))>
#<alt (/ 1/4 beta)>
#<alt (/ (- 1/4 (* 3/4 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1/4 (/ 9/4 (pow beta 2))) (* 3/4 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1/4 (/ 9/4 (pow beta 2))) (+ (* 3/4 (/ 1 beta)) (* 27/4 (/ 1 (pow beta 3))))) beta)>
#<alt (/ 1/4 beta)>
#<alt (* -1 (/ (- (* 3/4 (/ 1 beta)) 1/4) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/4 (/ 1 beta)) 3/4) beta)) 1/4) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 beta)) 9/4) beta)) 3/4) beta)) 1/4) beta))>
#<alt 3>
#<alt (+ 3 beta)>
#<alt (+ 3 beta)>
#<alt (+ 3 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (/ 1 (pow beta 2))>
#<alt (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))>
#<alt (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))>
#<alt (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))>
#<alt (/ alpha (pow beta 2))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (/ alpha (pow beta 2))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ 1 beta)>
#<alt (+ (/ 1 beta) (/ alpha beta))>
#<alt (+ (/ 1 beta) (/ alpha beta))>
#<alt (+ (/ 1 beta) (/ alpha beta))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt 1>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))>
#<alt (+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))>
#<alt (/ (- (+ 1 (/ 26 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow alpha 2))>
#<alt (/ (- (+ 1 (/ 26 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 98 (/ 1 (pow alpha 3))))) (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 alpha))) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 alpha))) alpha))) alpha))) (pow alpha 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (pow alpha 2)))>
#<alt (+ 1/4 (* (pow alpha 2) (- (* 1/16 alpha) 1/16)))>
#<alt (+ 1/4 (* (pow alpha 2) (- (* alpha (+ 1/16 (* -3/64 alpha))) 1/16)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 3 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 8 (pow alpha 2))) (* 3 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 8 (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (* 20 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 3 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 3) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 alpha)) 8) alpha)) 3) alpha)) 1) alpha))>
#<alt 1>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 beta))>
#<alt (+ 1/12 (* beta (- (* -5/432 beta) 1/36)))>
#<alt (+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))>
#<alt 12>
#<alt (+ 12 (* 28 beta))>
#<alt (+ 12 (* beta (+ 28 (* 23 beta))))>
#<alt (+ 12 (* beta (+ 28 (* beta (+ 23 (* 8 beta))))))>
#<alt (pow beta 4)>
#<alt (* (pow beta 4) (+ 1 (* 8 (/ 1 beta))))>
#<alt (* (pow beta 4) (+ 1 (+ (* 8 (/ 1 beta)) (/ 23 (pow beta 2)))))>
#<alt (* (pow beta 4) (+ 1 (+ (* 8 (/ 1 beta)) (+ (* 28 (/ 1 (pow beta 3))) (/ 23 (pow beta 2))))))>
#<alt (pow beta 4)>
#<alt (* (pow beta 4) (+ 1 (* 8 (/ 1 beta))))>
#<alt (* (pow beta 4) (+ 1 (+ (* 8 (/ 1 beta)) (/ 23 (pow beta 2)))))>
#<alt (* (pow beta 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 23 (* 28 (/ 1 beta))) beta)) 8) beta))))>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 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 beta) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (/ (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))>
#<alt (+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 3)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))))) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) beta)) (/ (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) beta)))) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) beta)) (/ (* (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) beta)) (+ (* -1 (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta)))) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))>
#<alt (* alpha (+ 2 beta))>
#<alt (* alpha (+ 2 (+ alpha beta)))>
#<alt (* alpha (+ 2 (+ alpha beta)))>
#<alt (* alpha (+ 2 (+ alpha beta)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 2 alpha))>
#<alt (+ (* alpha beta) (* alpha (+ 2 alpha)))>
#<alt (+ (* alpha beta) (* alpha (+ 2 alpha)))>
#<alt (+ (* alpha beta) (* alpha (+ 2 alpha)))>
#<alt (* alpha beta)>
#<alt (* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))>
#<alt (* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))>
#<alt (* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))>
#<alt (* alpha beta)>
#<alt (* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))>
#<alt (* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))>
#<alt (* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))>
#<alt 4>
#<alt (+ 4 (* 4 alpha))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt 3>
#<alt (+ 3 (* 4 beta))>
#<alt (+ 3 (* beta (+ 4 beta)))>
#<alt (+ 3 (* beta (+ 4 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))>
#<alt 4>
#<alt (+ 4 (* 4 beta))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>

Calls

93 calls:

Time	Variable		Point	Expression
13.0ms	alpha	@	inf	(* alpha (+ alpha (+ beta 2)))
7.0ms	beta	@	0	(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (neg (+ (neg (+ alpha beta)) -3)))
2.0ms	beta	@	-inf	(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (neg (+ (neg (+ alpha beta)) -3)))
1.0ms	beta	@	0	(/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2)))))
1.0ms	beta	@	inf	(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (neg (+ (neg (+ alpha beta)) -3)))

rewrite482.0ms (3.1%)

Memory

42.0MiB live, 785.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 368×	`-lowering-.f32`
5 368×	`-lowering-.f64`
4 252×	`/-lowering-/.f32`
4 252×	`/-lowering-/.f64`
4 012×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	190
1	332	171
2	3268	170
0	8739	168

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 958

Calls

Call 1

Inputs
(+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))
(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (neg (+ (neg (+ alpha beta)) -3)))
(+ (neg (+ alpha beta)) -3)
(neg (+ (neg (+ alpha beta)) -3))
(/ 1/4 (+ beta 3))
(+ beta 3)
(* (/ (+ alpha 1) beta) (/ 1 beta))
(/ (+ alpha 1) beta)
(+ alpha 1)
(/ 1 beta)
(/ (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (+ 3 alpha))
(/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha)))
(+ 1 alpha)
(+ 2 alpha)
(/ (* (+ 1 beta) (+ 1 beta)) (* (* (+ beta 2) (+ beta 2)) (+ (* (+ beta 2) (+ beta 2)) -1)))
(* (* (+ beta 2) (+ beta 2)) (+ (* (+ beta 2) (+ beta 2)) -1))
(+ 1 beta)
(+ beta 2)
(/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2)))))
(* alpha (+ alpha (+ beta 2)))
(* (+ 2 alpha) (+ 2 alpha))
(+ (* (+ beta 2) (+ beta 2)) -1)
(* (+ beta 2) (+ beta 2))

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

simplify891.0ms (5.8%)

Memory

-11.9MiB live, 860.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 800×	`accelerator-lowering-fma.f32`
6 800×	`accelerator-lowering-fma.f64`
6 398×	`+-lowering-+.f64`
6 398×	`+-lowering-+.f32`
5 652×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	890	7202
1	3046	6933
0	8239	6617

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))
(+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (* 2 alpha)))))
(+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))
(+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))
(pow (+ 2 beta) 2)
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
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(* -1 (+ 3 beta))
(- (* -1 alpha) (+ 3 beta))
(- (* -1 alpha) (+ 3 beta))
(- (* -1 alpha) (+ 3 beta))
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1))
(* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1))
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(* -1 alpha)
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1/12
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(/ 1/4 beta)
(/ (- 1/4 (* 3/4 (/ 1 beta))) beta)
(/ (- (+ 1/4 (/ 9/4 (pow beta 2))) (* 3/4 (/ 1 beta))) beta)
(/ (- (+ 1/4 (/ 9/4 (pow beta 2))) (+ (* 3/4 (/ 1 beta)) (* 27/4 (/ 1 (pow beta 3))))) beta)
(/ 1/4 beta)
(* -1 (/ (- (* 3/4 (/ 1 beta)) 1/4) beta))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 beta)) 9/4) beta)) 3/4) beta)) 1/4) beta))
3
(+ 3 beta)
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1
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1/4
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(/ 1 alpha)
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(/ 1 alpha)
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1
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2
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12
(+ 12 (* 28 beta))
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(pow beta 4)
(* (pow beta 4) (+ 1 (* 8 (/ 1 beta))))
(* (pow beta 4) (+ 1 (+ (* 8 (/ 1 beta)) (/ 23 (pow beta 2)))))
(* (pow beta 4) (+ 1 (+ (* 8 (/ 1 beta)) (+ (* 28 (/ 1 (pow beta 3))) (/ 23 (pow beta 2))))))
(pow beta 4)
(* (pow beta 4) (+ 1 (* 8 (/ 1 beta))))
(* (pow beta 4) (+ 1 (+ (* 8 (/ 1 beta)) (/ 23 (pow beta 2)))))
(* (pow beta 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 23 (* 28 (/ 1 beta))) beta)) 8) beta))))
1
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beta
(* beta (+ 1 (/ 1 beta)))
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beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
2
(+ 2 beta)
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beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
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(/ (+ 1 beta) (pow (+ 2 beta) 2))
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(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(/ (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))
(+ (* beta (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 3)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))))) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) beta)) (/ (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) beta)))) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) beta)) (/ (* (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) beta)) (+ (* -1 (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta)))) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))
(* alpha (+ 2 beta))
(* alpha (+ 2 (+ alpha beta)))
(* alpha (+ 2 (+ alpha beta)))
(* alpha (+ 2 (+ alpha beta)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 2 alpha))
(+ (* alpha beta) (* alpha (+ 2 alpha)))
(+ (* alpha beta) (* alpha (+ 2 alpha)))
(+ (* alpha beta) (* alpha (+ 2 alpha)))
(* alpha beta)
(* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))
(* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))
(* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))
(* alpha beta)
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))
4
(+ 4 (* 4 alpha))
(+ 4 (* alpha (+ 4 alpha)))
(+ 4 (* alpha (+ 4 alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
3
(+ 3 (* 4 beta))
(+ 3 (* beta (+ 4 beta)))
(+ 3 (* beta (+ 4 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))
4
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 beta)))
(+ 4 (* beta (+ 4 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))

Outputs
(+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
(+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (* 2 alpha)))))
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (*.f64 beta (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))
(+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (*.f64 beta (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) alpha beta))))
(+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (*.f64 beta (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) alpha beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 beta beta))) (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 beta beta)) (/.f64 #s(literal 4 binary64) beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 beta beta))) (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 beta beta)) (/.f64 #s(literal 4 binary64) beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -2 binary64)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -2 binary64)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -2 binary64)) beta)))
(pow (+ 2 beta) 2)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))
(fma.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(fma.f64 alpha (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(fma.f64 alpha (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(.f64 (.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(.f64 (.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) alpha)))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(fma.f64 alpha (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(fma.f64 alpha (fma.f64 (-.f64 #s(literal 0 binary64) alpha) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))))
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(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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1
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(-.f64 #s(literal 0 binary64) (*.f64 beta (neg.f64 (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) alpha))))
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))
(-.f64 #s(literal 0 binary64) (*.f64 beta (neg.f64 (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) alpha))))
4
#s(literal 4 binary64)
(+ 4 (* 4 alpha))
(fma.f64 alpha #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* alpha (+ 4 alpha)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(+ 4 (* alpha (+ 4 alpha)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 4 binary64) alpha)))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 4 binary64) alpha)))
3
#s(literal 3 binary64)
(+ 3 (* 4 beta))
(fma.f64 beta #s(literal 4 binary64) #s(literal 3 binary64))
(+ 3 (* beta (+ 4 beta)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 3 binary64))
(+ 3 (* beta (+ 4 beta)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 3 binary64))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)) (/.f64 #s(literal 3 binary64) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)) (/.f64 #s(literal 3 binary64) (*.f64 beta beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)) (/.f64 #s(literal 3 binary64) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 3 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)) (/.f64 #s(literal 3 binary64) (*.f64 beta beta))))
4
#s(literal 4 binary64)
(+ 4 (* 4 beta))
(fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* beta (+ 4 beta)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(+ 4 (* beta (+ 4 beta)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))))

eval628.0ms (4.1%)

Memory: -117.9MiB live, 518.6MiB allocated
Compiler: Compiled 67 473 to 5 228 computations (92.3% saved)

prune276.0ms (1.8%)

Memory

11.9MiB live, 482.3MiB allocated

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	1 631	23	1 654
Fresh	9	17	26
Picked	4	1	5
Done	0	1	1
Total	1 644	42	1 686

Accuracy

99.8%

Counts

1 686 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.7%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	42.1%	(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	42.2%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
▶	43.9%	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	43.7%	(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	43.5%	(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	45.6%	(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	44.0%	(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
	45.5%	(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
	94.3%	(/.f64 (/.f64 (fma.f64 beta (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
	93.3%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	55.9%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	56.5%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
▶	94.3%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
	94.3%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) alpha))
	56.6%	(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
▶	93.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	45.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
	62.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	56.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	4.4%	(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
▶	86.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
	87.5%	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
	49.2%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
	46.0%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
	51.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
✓	54.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	55.0%	(/.f64 (.f64 (-.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
	14.0%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
	54.2%	(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
	32.1%	(/.f64 alpha (*.f64 beta beta))
	56.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
	51.9%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	4.4%	(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
✓	45.2%	(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
	43.8%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
	6.0%	(/.f64 #s(literal 1/4 binary64) beta)
	54.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
	52.2%	(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
	56.4%	(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) beta))
	53.5%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
▶	43.2%	#s(literal 1/12 binary64)

Compiler

Compiled 1 310 to 790 computations (39.7% saved)

simplify387.0ms (2.5%)

Memory

1.3MiB live, 507.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓	cost-diff	192	(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))
✓	cost-diff	448	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(+.f64 beta #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
✓	cost-diff	64	(.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))
✓	cost-diff	0	(fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64))
✓	cost-diff	0	(fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64))
✓	cost-diff	0	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
✓	cost-diff	0	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
✓	cost-diff	64	(+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
✓	cost-diff	576	(fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))

Rules

6 942×	`accelerator-lowering-fma.f32`
6 942×	`accelerator-lowering-fma.f64`
3 982×	`-lowering-.f32`
3 982×	`-lowering-.f64`
2 490×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	245
1	135	243
2	429	237
3	1666	237
4	2379	237
5	3037	237
6	3625	237
7	4241	237
8	7752	237
0	8936	230

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (- (+ beta alpha) -3))
(/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2)))))
(+ alpha (+ (* (+ alpha 1) beta) 1))
alpha
(+ (* (+ alpha 1) beta) 1)
(+ alpha 1)
1
beta
(+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))
(+ beta 2)
2
(+ alpha (+ beta 2))
(* alpha (+ alpha (+ beta 2)))
(- (+ beta alpha) -3)
(+ beta alpha)
-3
1/12
(+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)
alpha
(+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)
(+ (* alpha 2/81) -5/432)
2/81
-5/432
-1/36
1/12
(/ (+ beta 1) (* (* (+ 2 beta) (+ 2 beta)) (+ beta 3)))
(+ beta 1)
beta
1
(* (* (+ 2 beta) (+ 2 beta)) (+ beta 3))
(* (+ 2 beta) (+ 2 beta))
(+ 2 beta)
2
(+ beta 3)
3
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ 1 (+ alpha beta)) 2))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
(+ 1 beta)
1
beta
(* (+ beta 2) (+ beta 2))
(+ beta 2)
2
(+ (+ 1 (+ alpha beta)) 2)
(+ 1 (+ alpha beta))
(+ alpha beta)
alpha

Outputs
(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (- (+ beta alpha) -3))
(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2)))))
(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+ alpha (+ (* (+ alpha 1) beta) 1))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta))
alpha
(+ (* (+ alpha 1) beta) 1)
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))
(+ alpha 1)
(+.f64 alpha #s(literal 1 binary64))
1
#s(literal 1 binary64)
beta
(+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))
(*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ alpha (+ beta 2))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(* alpha (+ alpha (+ beta 2)))
(*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(- (+ beta alpha) -3)
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
(+ beta alpha)
(+.f64 alpha beta)
-3
#s(literal -3 binary64)
1/12
#s(literal 1/12 binary64)
(+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
alpha
(+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)
(fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64))
(+ (* alpha 2/81) -5/432)
(fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64))
2/81
#s(literal 2/81 binary64)
-5/432
#s(literal -5/432 binary64)
-1/36
#s(literal -1/36 binary64)
1/12
#s(literal 1/12 binary64)
(/ (+ beta 1) (* (* (+ 2 beta) (+ 2 beta)) (+ beta 3)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(+ beta 1)
(+.f64 #s(literal 1 binary64) beta)
beta
1
#s(literal 1 binary64)
(* (* (+ 2 beta) (+ 2 beta)) (+ beta 3))
(.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(* (+ 2 beta) (+ 2 beta))
(fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 4 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ beta 3)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ 1 (+ alpha beta)) 2))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 4 binary64)))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
(* (+ beta 2) (+ beta 2))
(fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 4 binary64))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (+ 1 (+ alpha beta)) 2)
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
(+ 1 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 1 binary64) beta))
(+ alpha beta)
(+.f64 alpha beta)
alpha

localize159.0ms (1%)

Memory

21.5MiB live, 311.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
✓	accuracy	71.5%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	99.9%	(.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	92.2%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	100.0%	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
✓	accuracy	99.9%	(fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64))
✓	accuracy	99.9%	(fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64))
✓	accuracy	100.0%	(*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	100.0%	(fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
✓	accuracy	71.2%	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))

Samples

83.0ms

256×

valid

Compiler

Compiled 254 to 44 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 25.0ms (41.9% of total)

ival-mult: 13.0ms (21.8% of total)

const: 12.0ms (20.1% of total)

ival-div: 7.0ms (11.7% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

series42.0ms (0.3%)

Memory

7.3MiB live, 46.2MiB allocated

Counts

18 → 300

Calls

Call 1

Inputs
#<alt (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))>
#<alt (/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (- (+ beta alpha) -3))>
#<alt (+ alpha (+ (* (+ alpha 1) beta) 1))>
#<alt (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2)))))>
#<alt (+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)>
#<alt (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)>
#<alt (+ (* alpha 2/81) -5/432)>
#<alt (* (* (+ 2 beta) (+ 2 beta)) (+ beta 3))>
#<alt (/ (+ beta 1) (* (* (+ 2 beta) (+ 2 beta)) (+ beta 3)))>
#<alt (+ beta 1)>
#<alt (+ 2 beta)>
#<alt (/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ 1 (+ alpha beta)) 2))>
#<alt (+ (+ 1 (+ alpha beta)) 2)>
#<alt (/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))>
#<alt (+ 1 beta)>
#<alt (* alpha (+ alpha (+ beta 2)))>
#<alt (* (+ 2 beta) (+ 2 beta))>
#<alt (* (+ beta 2) (+ beta 2))>

Outputs
#<alt (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))>
#<alt (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (* 2 alpha)))))>
#<alt (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))>
#<alt (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))>
#<alt (pow (+ 2 beta) 2)>
#<alt (+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))>
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))>
#<alt (* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 alpha) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))>
#<alt (+ (* beta (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))>
#<alt (+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (+ (/ 1 (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (+ (/ alpha (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta)) (* -1 (/ (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))))))) beta)))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) beta)) (+ (* -1 (/ (* (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))))))) beta)) (/ (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (+ (* -1 (* (+ 1 alpha) (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) (* -1 (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))))))) beta))) (+ (* -1 (* (+ 1 alpha) (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) (* -1 (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))))))) beta))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))) beta)))) (pow beta 2))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* alpha (+ 1 beta))))>
#<alt (+ 1 (+ beta (* alpha (+ 1 beta))))>
#<alt (+ 1 (+ beta (* alpha (+ 1 beta))))>
#<alt (* alpha (+ 1 beta))>
#<alt (* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))>
#<alt (* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))>
#<alt (* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))>
#<alt (* -1 (* alpha (- (* -1 beta) 1)))>
#<alt (* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))>
#<alt (* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))>
#<alt (* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))>
#<alt (+ 1 alpha)>
#<alt (+ 1 (+ alpha (* beta (+ 1 alpha))))>
#<alt (+ 1 (+ alpha (* beta (+ 1 alpha))))>
#<alt (+ 1 (+ alpha (* beta (+ 1 alpha))))>
#<alt (* beta (+ 1 alpha))>
#<alt (* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))>
#<alt (* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))>
#<alt (* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))>
#<alt (* beta (+ 1 alpha))>
#<alt (* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))>
#<alt (* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))>
#<alt (* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))>
#<alt (/ (+ 1 beta) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (/ (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))>
#<alt (+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 3)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))))) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) beta)) (/ (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) beta)))) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) beta)) (/ (* (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) beta)) (+ (* -1 (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta)))) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))>
#<alt (+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))>
#<alt (* 2/81 (pow alpha 3))>
#<alt (* (pow alpha 3) (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* (pow alpha 3) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt (* (pow alpha 3) (- (+ 2/81 (* 1/12 (/ 1 (pow alpha 3)))) (+ (/ 1/36 (pow alpha 2)) (* 5/432 (/ 1 alpha)))))>
#<alt (* 2/81 (pow alpha 3))>
#<alt (* -1 (* (pow alpha 3) (- (* 5/432 (/ 1 alpha)) 2/81)))>
#<alt (* -1 (* (pow alpha 3) (- (+ (/ 1/36 (pow alpha 2)) (* 5/432 (/ 1 alpha))) 2/81)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (- (* -1 (/ (- 1/36 (* 1/12 (/ 1 alpha))) alpha)) 5/432) alpha)) 2/81)))>
#<alt -1/36>
#<alt (- (* -5/432 alpha) 1/36)>
#<alt (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)>
#<alt (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)>
#<alt (* 2/81 (pow alpha 2))>
#<alt (* (pow alpha 2) (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt (* 2/81 (pow alpha 2))>
#<alt (* (pow alpha 2) (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))>
#<alt -5/432>
#<alt (- (* 2/81 alpha) 5/432)>
#<alt (- (* 2/81 alpha) 5/432)>
#<alt (- (* 2/81 alpha) 5/432)>
#<alt (* 2/81 alpha)>
#<alt (* alpha (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* alpha (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* alpha (- 2/81 (* 5/432 (/ 1 alpha))))>
#<alt (* 2/81 alpha)>
#<alt (* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))>
#<alt (* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))>
#<alt (* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))>
#<alt 12>
#<alt (+ 12 (* 16 beta))>
#<alt (+ 12 (* beta (+ 16 (* 7 beta))))>
#<alt (+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 beta))>
#<alt (+ 1/12 (* beta (- (* -5/432 beta) 1/36)))>
#<alt (+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 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 (/ 1/4 (+ 3 alpha))>
#<alt (+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))>
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))>
#<alt (/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)>
#<alt (/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)>
#<alt (/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)>
#<alt (/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))>
#<alt (+ 3 beta)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (+ 3 alpha)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (pow beta 2)))>
#<alt (+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))>
#<alt (+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))>
#<alt (/ 1 beta)>
#<alt (/ (- 1 (* 3 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* alpha (+ 2 beta))>
#<alt (* alpha (+ 2 (+ alpha beta)))>
#<alt (* alpha (+ 2 (+ alpha beta)))>
#<alt (* alpha (+ 2 (+ alpha beta)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 2 alpha))>
#<alt (+ (* alpha beta) (* alpha (+ 2 alpha)))>
#<alt (+ (* alpha beta) (* alpha (+ 2 alpha)))>
#<alt (+ (* alpha beta) (* alpha (+ 2 alpha)))>
#<alt (* alpha beta)>
#<alt (* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))>
#<alt (* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))>
#<alt (* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))>
#<alt (* alpha beta)>
#<alt (* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))>
#<alt (* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))>
#<alt (* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))>
#<alt 4>
#<alt (+ 4 (* 4 beta))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt 4>
#<alt (+ 4 (* 4 beta))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>

Calls

75 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	inf	(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ 1 (+ alpha beta)) 2))
1.0ms	beta	@	0	(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ 1 (+ alpha beta)) 2))
1.0ms	alpha	@	0	(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ 1 (+ alpha beta)) 2))
1.0ms	beta	@	-inf	(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ 1 (+ alpha beta)) 2))
1.0ms	alpha	@	inf	(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ 1 (+ alpha beta)) 2))

rewrite398.0ms (2.6%)

Memory

5.9MiB live, 718.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 382×	`/-lowering-/.f32`
4 382×	`/-lowering-/.f64`
2 940×	`-lowering-.f32`
2 940×	`-lowering-.f64`
2 552×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	176
1	375	160
2	3781	160
0	8171	151

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 857

Calls

Call 1

Inputs
(+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))
(/ (/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2))))) (- (+ beta alpha) -3))
(+ alpha (+ (* (+ alpha 1) beta) 1))
(/ (+ alpha (+ (* (+ alpha 1) beta) 1)) (+ (* (+ beta 2) (+ alpha (+ beta 2))) (* alpha (+ alpha (+ beta 2)))))
(+ (* alpha (+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)) 1/12)
(+ (* alpha (+ (* alpha 2/81) -5/432)) -1/36)
(+ (* alpha 2/81) -5/432)
(* (* (+ 2 beta) (+ 2 beta)) (+ beta 3))
(/ (+ beta 1) (* (* (+ 2 beta) (+ 2 beta)) (+ beta 3)))
(+ beta 1)
(+ 2 beta)
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ 1 (+ alpha beta)) 2))
(+ (+ 1 (+ alpha beta)) 2)
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
(+ 1 beta)
(* alpha (+ alpha (+ beta 2)))
(* (+ 2 beta) (+ 2 beta))
(* (+ beta 2) (+ beta 2))

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

simplify526.0ms (3.4%)

Memory

-25.7MiB live, 847.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 070×	`accelerator-lowering-fma.f32`
7 070×	`accelerator-lowering-fma.f64`
6 142×	`+-lowering-+.f64`
6 142×	`+-lowering-+.f32`
4 734×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1023	7836
1	3548	7487
0	8408	7182

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))
(+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (* 2 alpha)))))
(+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))
(+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* beta (+ 4 (+ beta (* 2 alpha))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) beta)))) 2) beta))))
(pow (+ 2 beta) 2)
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ 1 alpha) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))
(+ (* beta (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (+ (/ 1 (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (+ (/ alpha (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))) (/ (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (pow (+ 3 alpha) 2) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2))))) (+ (/ 1 (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ alpha (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha))))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (+ (* alpha (+ 2 alpha)) (* (+ 3 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta)) (* -1 (/ (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))))))) beta)))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (+ 3 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) beta)) (+ (* -1 (/ (* (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))))))) beta)) (/ (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (+ (* -1 (* (+ 1 alpha) (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) (* -1 (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))))))) beta))) (+ (* -1 (* (+ 1 alpha) (+ (* -1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 3 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) (* -1 (* (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))))))) beta))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* -1 (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))))) beta)))) (pow beta 2))
(+ 1 beta)
(+ 1 (+ beta (* alpha (+ 1 beta))))
(+ 1 (+ beta (* alpha (+ 1 beta))))
(+ 1 (+ beta (* alpha (+ 1 beta))))
(* alpha (+ 1 beta))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* -1 (* alpha (- (* -1 beta) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(+ 1 alpha)
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(* beta (+ 1 alpha))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 alpha))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(/ (+ 1 beta) (pow (+ 2 beta) 2))
(+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(/ (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))
(+ (* beta (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 3)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))))) (+ (/ 1 (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (+ (/ alpha (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (/ alpha (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha)))) beta)) (/ (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) beta)))) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) beta)) (/ (* (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))) (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2))))) beta)) (+ (* -1 (* (+ 1 alpha) (+ (* 2 (+ 2 alpha)) (* alpha (+ 2 alpha))))) (* (- (+ 1 alpha) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta)))) (* -1 (* (+ 1 alpha) (- (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)))) beta))) beta))
1/12
(+ 1/12 (* -1/36 alpha))
(+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))
(+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))
(* 2/81 (pow alpha 3))
(* (pow alpha 3) (- 2/81 (* 5/432 (/ 1 alpha))))
(* (pow alpha 3) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
(* (pow alpha 3) (- (+ 2/81 (* 1/12 (/ 1 (pow alpha 3)))) (+ (/ 1/36 (pow alpha 2)) (* 5/432 (/ 1 alpha)))))
(* 2/81 (pow alpha 3))
(* -1 (* (pow alpha 3) (- (* 5/432 (/ 1 alpha)) 2/81)))
(* -1 (* (pow alpha 3) (- (+ (/ 1/36 (pow alpha 2)) (* 5/432 (/ 1 alpha))) 2/81)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (- (* -1 (/ (- 1/36 (* 1/12 (/ 1 alpha))) alpha)) 5/432) alpha)) 2/81)))
-1/36
(- (* -5/432 alpha) 1/36)
(- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)
(- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)
(* 2/81 (pow alpha 2))
(* (pow alpha 2) (- 2/81 (* 5/432 (/ 1 alpha))))
(* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
(* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
(* 2/81 (pow alpha 2))
(* (pow alpha 2) (- 2/81 (* 5/432 (/ 1 alpha))))
(* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
(* (pow alpha 2) (+ 2/81 (* -1 (/ (+ 5/432 (* 1/36 (/ 1 alpha))) alpha))))
-5/432
(- (* 2/81 alpha) 5/432)
(- (* 2/81 alpha) 5/432)
(- (* 2/81 alpha) 5/432)
(* 2/81 alpha)
(* alpha (- 2/81 (* 5/432 (/ 1 alpha))))
(* alpha (- 2/81 (* 5/432 (/ 1 alpha))))
(* alpha (- 2/81 (* 5/432 (/ 1 alpha))))
(* 2/81 alpha)
(* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))
(* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))
(* -1 (* alpha (- (* 5/432 (/ 1 alpha)) 2/81)))
12
(+ 12 (* 16 beta))
(+ 12 (* beta (+ 16 (* 7 beta))))
(+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))
1/12
(+ 1/12 (* -1/36 beta))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 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))))
(/ 1/4 (+ 3 alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
1/4
(+ 1/4 (* -1/16 (pow beta 2)))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(/ 1 beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* alpha (+ 2 beta))
(* alpha (+ 2 (+ alpha beta)))
(* alpha (+ 2 (+ alpha beta)))
(* alpha (+ 2 (+ alpha beta)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 2 alpha))
(+ (* alpha beta) (* alpha (+ 2 alpha)))
(+ (* alpha beta) (* alpha (+ 2 alpha)))
(+ (* alpha beta) (* alpha (+ 2 alpha)))
(* alpha beta)
(* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))
(* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))
(* beta (+ alpha (/ (* alpha (+ 2 alpha)) beta)))
(* alpha beta)
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ (* alpha (+ 2 alpha)) beta)))))
4
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 beta)))
(+ 4 (* beta (+ 4 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
4
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 beta)))
(+ 4 (* beta (+ 4 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))

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

eval172.0ms (1.1%)

Memory: 9.1MiB live, 399.0MiB allocated
Compiler: Compiled 39 375 to 3 797 computations (90.4% saved)

prune255.0ms (1.7%)

Memory

18.7MiB live, 492.0MiB allocated

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	1 192	17	1 209
Fresh	8	27	35
Picked	3	2	5
Done	0	2	2
Total	1 203	48	1 251

Accuracy

99.8%

Counts

1 251 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.7%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	42.1%	(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	42.2%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
✓	43.9%	(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	43.7%	(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	43.5%	(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	43.3%	(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	45.6%	(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	44.0%	(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
	45.5%	(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
	94.3%	(/.f64 (/.f64 (fma.f64 beta (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
	56.5%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	55.9%	(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
	92.8%	(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
	94.3%	(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) alpha))
	56.7%	(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
	56.6%	(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
	45.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
	62.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
	52.3%	(/.f64 (/.f64 (.f64 beta (+.f64 alpha #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
	4.4%	(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
	86.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
	71.1%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
	82.8%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 beta beta #s(literal -9 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -3 binary64))))
	86.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
	87.3%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
	45.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
	45.5%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
	87.5%	(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
	49.2%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
	46.0%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
✓	54.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	54.2%	(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
	32.1%	(/.f64 alpha (*.f64 beta beta))
	87.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))
	56.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
	51.9%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	4.4%	(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
	45.6%	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
✓	45.2%	(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
	43.8%	(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
	6.0%	(/.f64 #s(literal 1/4 binary64) beta)
	86.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
	54.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
	56.4%	(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) beta))
	17.0%	(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
	53.5%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
✓	43.2%	#s(literal 1/12 binary64)

Compiler

Compiled 2 553 to 801 computations (68.6% saved)

regimes85.0ms (0.6%)

Memory

-11.7MiB live, 158.6MiB allocated

Counts

92 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 beta beta #s(literal -9 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal -3 binary64)))
(/.f64 (/.f64 (fma.f64 beta (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) alpha))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))))
(/.f64 (/.f64 (.f64 beta (+.f64 alpha #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 alpha (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -3 binary64)) alpha) #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta #s(literal 2 binary64)))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) alpha)))) beta) (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) alpha)) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) alpha)))) (-.f64 #s(literal 0 binary64) beta)) (-.f64 #s(literal -1 binary64) alpha)) (-.f64 #s(literal 0 binary64) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))))) (/.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))

Outputs

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

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

Calls

3 calls:

28.0ms

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

27.0ms

alpha

26.0ms

beta

Results

Accuracy	Segments	Branch
99.4%	2	`alpha`
99.6%	2	`beta`
99.6%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes30.0ms (0.2%)

Memory

19.7MiB live, 63.7MiB allocated

Counts

87 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 beta beta #s(literal -9 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal -3 binary64)))
(/.f64 (/.f64 (fma.f64 beta (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) alpha))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))))
(/.f64 (/.f64 (.f64 beta (+.f64 alpha #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 alpha (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -3 binary64)) alpha) #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))

Outputs

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

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

Calls

1 calls:

26.0ms

beta

Results

Accuracy	Segments	Branch
99.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.2%)

Memory

-3.1MiB live, 73.7MiB allocated

Counts

86 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 beta beta #s(literal -9 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal -3 binary64)))
(/.f64 (/.f64 (fma.f64 beta (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) alpha))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))))
(/.f64 (/.f64 (.f64 beta (+.f64 alpha #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 alpha (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -3 binary64)) alpha) #s(literal -1 binary64)))))

Outputs

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

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

Calls

1 calls:

24.0ms

beta

Results

Accuracy	Segments	Branch
99.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes97.0ms (0.6%)

Memory

-16.8MiB live, 101.7MiB allocated

Counts

81 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 beta beta #s(literal -9 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal -3 binary64)))
(/.f64 (/.f64 (fma.f64 beta (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) alpha))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))))
(/.f64 (/.f64 (.f64 beta (+.f64 alpha #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

2 calls:

53.0ms

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

40.0ms

beta

Results

Accuracy	Segments	Branch
99.5%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
99.5%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes22.0ms (0.1%)

Memory

9.1MiB live, 46.1MiB allocated

Counts

64 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 beta beta #s(literal -9 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))

Outputs

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

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

Calls

1 calls:

20.0ms

beta

Results

Accuracy	Segments	Branch
99.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes64.0ms (0.4%)

Memory

-4.6MiB live, 109.8MiB allocated

Counts

63 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 beta beta #s(literal -9 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) beta))

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))

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

Calls

3 calls:

21.0ms

alpha

21.0ms

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

20.0ms

beta

Results

Accuracy	Segments	Branch
97.3%	2	`alpha`
97.1%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
98.0%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes21.0ms (0.1%)

Memory

6.2MiB live, 41.7MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))

Outputs

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

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

Calls

1 calls:

19.0ms

beta

Results

Accuracy	Segments	Branch
97.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory

7.1MiB live, 43.4MiB allocated

Counts

54 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))

Outputs

(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))

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

Calls

1 calls:

18.0ms

beta

Results

Accuracy	Segments	Branch
97.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes56.0ms (0.4%)

Memory

-10.6MiB live, 42.7MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 beta beta)))
(/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 alpha #s(literal -1 binary64))))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 2 binary64)))

Outputs

(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))

(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))

Calls

1 calls:

53.0ms

beta

Results

Accuracy	Segments	Branch
97.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.3%)

Memory

-0.1MiB live, 36.4MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))

Outputs

(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))

(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)))

Calls

1 calls:

37.0ms

beta

Results

Accuracy	Segments	Branch
97.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory

-7.2MiB live, 29.0MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))

Outputs

(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64))))

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

Calls

1 calls:

9.0ms

beta

Results

Accuracy	Segments	Branch
97.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha #s(literal 1 binary64))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))

Outputs

(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))

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

Calls

1 calls:

9.0ms

beta

Results

Accuracy	Segments	Branch
97.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory

17.9MiB live, 55.3MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)
(/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)
(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 3 binary64))))

Outputs

(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

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

Calls

3 calls:

17.0ms

beta

8.0ms

alpha

7.0ms

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

Results

Accuracy	Segments	Branch
95.3%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
80.9%	2	`alpha`
96.4%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes20.0ms (0.1%)

Memory

-12.6MiB live, 30.4MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) beta) #s(literal 1/4 binary64)) beta)

Outputs

(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

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

Calls

2 calls:

7.0ms

beta

6.0ms

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

Results

Accuracy	Segments	Branch
94.1%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
94.1%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes7.0ms (0%)

Memory

-23.5MiB live, 16.0MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))

Outputs

(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

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

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
94.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

Outputs

(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

(/.f64 #s(literal 1 binary64) (*.f64 beta beta))

Calls

2 calls:

5.0ms

beta

4.0ms

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

Results

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

Compiler

Compiled 40 to 16 computations (60% saved)

regimes5.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))

Outputs
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
91.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory

-13.1MiB live, 26.6MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))

Outputs
(.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))

Calls

3 calls:

11.0ms

beta

4.0ms

alpha

4.0ms

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

Results

Accuracy	Segments	Branch
45.2%	1	`alpha`
57.9%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
57.6%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes44.0ms (0.3%)

Memory

-15.9MiB live, 23.7MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))

Outputs
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))

Calls

3 calls:

37.0ms

beta

4.0ms

alpha

3.0ms

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

Results

Accuracy	Segments	Branch
45.2%	1	`alpha`
45.2%	1	`beta`
45.2%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes10.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))

Outputs
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)

Calls

3 calls:

3.0ms

beta

3.0ms

alpha

3.0ms

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

Results

Accuracy	Segments	Branch
43.8%	1	`alpha`
45.6%	2	`beta`
43.8%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes17.0ms (0.1%)

Memory

-25.0MiB live, 15.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)

Outputs
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)

Calls

3 calls:

12.0ms

alpha

2.0ms

beta

2.0ms

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

Results

Accuracy	Segments	Branch
43.5%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
43.5%	1	`alpha`
45.3%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))

Outputs
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))

Calls

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
43.5%	1	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/12 binary64)

Outputs
#s(literal 1/12 binary64)

Calls

3 calls:

1.0ms

beta

1.0ms

alpha

1.0ms

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

Results

Accuracy	Segments	Branch
43.2%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
43.2%	1	`alpha`
43.2%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch25.0ms (0.2%)

Memory

-5.9MiB live, 33.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
22.0ms	1.731927912383704e+90	1.5126939662490388e+94

Samples

18.0ms

128×

valid

Compiler

Compiled 768 to 387 computations (49.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 11.0ms (73.6% of total)

ival-div: 2.0ms (13.4% of total)

ival-mult: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

-6.2MiB live, 32.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
13.0ms	1.731927912383704e+90	1.5126939662490388e+94

Samples

8.0ms

112×

valid

Compiler

Compiled 523 to 278 computations (46.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (51.3% of total)

ival-div: 2.0ms (34.2% of total)

ival-mult: 1.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

16.8MiB live, 56.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
15.0ms	1.731927912383704e+90	1.5126939662490388e+94

Samples

9.0ms

128×

valid

Compiler

Compiled 536 to 323 computations (39.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.8% of total)

ival-div: 2.0ms (31.2% of total)

ival-mult: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

-22.0MiB live, 18.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	1.731927912383704e+90	1.5126939662490388e+94

Samples

6.0ms

48×

valid

Compiler

Compiled 193 to 106 computations (45.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 3.0ms (66.9% of total)

ival-add: 1.0ms (22.3% of total)

ival-mult: 1.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.731927912383704e+90	1.5126939662490388e+94

Samples

2.0ms

32×

valid

Compiler

Compiled 142 to 77 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (61.3% of total)

ival-add: 1.0ms (61.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	147597.19784929755	2532841694.172156

Samples

9.0ms

128×

valid

Compiler

Compiled 392 to 235 computations (40.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.6% of total)

ival-div: 2.0ms (31.1% of total)

ival-mult: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch62.0ms (0.4%)

Memory

-18.9MiB live, 18.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
60.0ms	147597.19784929755	2532841694.172156

Samples

56.0ms

128×

valid

Compiler

Compiled 392 to 227 computations (42.1% saved)

Precisions

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

ival-add: 49.0ms (92.7% of total)

ival-div: 2.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	147597.19784929755	2532841694.172156

Samples

9.0ms

128×

valid

Compiler

Compiled 376 to 227 computations (39.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (47.1% of total)

ival-div: 2.0ms (31.4% of total)

ival-mult: 1.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.2%)

Memory

-18.4MiB live, 18.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	147597.19784929755	2532841694.172156

Samples

20.0ms

128×

valid

Compiler

Compiled 312 to 203 computations (34.9% saved)

Precisions

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

ival-div: 13.0ms (76.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	147597.19784929755	2532841694.172156

Samples

9.0ms

128×

valid

Compiler

Compiled 288 to 195 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.5% of total)

ival-div: 2.0ms (31% of total)

ival-mult: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch56.0ms (0.4%)

Memory

-7.7MiB live, 29.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	147597.19784929755	2532841694.172156

Samples

49.0ms

128×

valid

Compiler

Compiled 256 to 171 computations (33.2% saved)

Precisions

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

ival-add: 43.0ms (92.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.2%)

Memory

-47.7MiB live, 26.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	147597.19784929755	2532841694.172156

Samples

10.0ms

128×

valid

Compiler

Compiled 248 to 171 computations (31% saved)

Precisions

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

ival-add: 3.0ms (45.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.2529833519058739	6.663980103655642

Samples

8.0ms

112×

valid

Compiler

Compiled 201 to 138 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (35.2% of total)

ival-add: 2.0ms (35.2% of total)

ival-mult: 1.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.2%)

Memory

-2.2MiB live, 32.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.2529833519058739	6.663980103655642

Samples

20.0ms

112×

valid

Compiler

Compiled 215 to 145 computations (32.6% saved)

Precisions

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

ival-add: 14.0ms (82.1% of total)

ival-div: 2.0ms (11.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

-4.9MiB live, 32.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.2529833519058739	6.663980103655642

Samples

8.0ms

112×

valid

Compiler

Compiled 201 to 138 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (50.7% of total)

ival-div: 2.0ms (33.8% of total)

ival-mult: 1.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

32.5MiB live, 32.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.2529833519058739	6.663980103655642

Samples

8.0ms

112×

valid

Compiler

Compiled 187 to 131 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (52.3% of total)

ival-div: 2.0ms (34.9% of total)

ival-mult: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

-2.3MiB live, 34.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.2529833519058739	6.663980103655642

Samples

11.0ms

112×

valid

Compiler

Compiled 166 to 117 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.3% of total)

ival-add: 2.0ms (34.3% of total)

ival-mult: 1.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.596354659276558e-220	3.582316012863544e-217

Compiler

Compiled 40 to 19 computations (52.5% saved)

bsearch20.0ms (0.1%)

Memory

-12.4MiB live, 33.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.2529833519058739	6.663980103655642

Samples

14.0ms

112×

valid

Compiler

Compiled 152 to 110 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 7.0ms (60.6% of total)

ival-add: 3.0ms (26% of total)

ival-mult: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

-7.1MiB live, 32.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.2529833519058739	6.663980103655642

Samples

9.0ms

112×

valid

Compiler

Compiled 131 to 96 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (51.6% of total)

ival-div: 2.0ms (34.4% of total)

ival-mult: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify46.0ms (0.3%)

Memory

-3.9MiB live, 35.6MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`+-commutative_binary64`
58×	`*-commutative_binary64`
36×	`sub-neg_binary64`
30×	`neg-sub0_binary64`
30×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	713
1	215	713
2	247	713
3	274	713
4	295	713
5	306	713
6	316	713
7	323	713
8	328	713
9	331	713
10	332	713

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 2800000000000000041849370178278836651507769116392493423893852152513239298964018105195429888 binary64)) (.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 4499999999999999905717613292495848770878857440563957269888020387911115559359604979453132800000 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64))))
(if (<=.f64 beta #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 3715469692580659/1125899906842624 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 5087291284850963/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) (.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha)) (/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(if (<=.f64 beta #s(literal 5404319552844595/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/4 binary64) beta))
(if (<=.f64 beta #s(literal 6530219459687219/2251799813685248 binary64)) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/4 binary64) beta))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

Outputs
(if (<=.f64 beta #s(literal 2800000000000000041849370178278836651507769116392493423893852152513239298964018105195429888 binary64)) (.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 2800000000000000041849370178278836651507769116392493423893852152513239298964018105195429888 binary64)) (.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 4499999999999999905717613292495848770878857440563957269888020387911115559359604979453132800000 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 4499999999999999905717613292495848770878857440563957269888020387911115559359604979453132800000 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64))))
(if (<=.f64 beta #s(literal 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 alpha beta) (+.f64 alpha (/.f64 #s(literal 1 binary64) beta))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha)))) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64))))
(if (<=.f64 beta #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (-.f64 (+.f64 beta alpha) #s(literal -3 binary64))))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 2500000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))))
(if (<=.f64 beta #s(literal 3715469692580659/1125899906842624 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 3715469692580659/1125899906842624 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 5087291284850963/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) (.f64 (.f64 alpha #s(literal 2/81 binary64)) (*.f64 alpha alpha)) (/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64))))
(if (<=.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) (.f64 beta alpha))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 5087291284850963/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) (.f64 (.f64 alpha #s(literal 2/81 binary64)) (.f64 alpha alpha)) (/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(if (<=.f64 beta #s(literal 5404319552844595/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/4 binary64) beta))
(if (<=.f64 beta #s(literal 6530219459687219/2251799813685248 binary64)) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/4 binary64) beta))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

soundness1.6s (10.2%)

Memory

25.5MiB live, 1 615.0MiB allocated

Rules

7 252×	`+-lowering-+.f64`
7 252×	`+-lowering-+.f32`
7 070×	`accelerator-lowering-fma.f32`
7 070×	`accelerator-lowering-fma.f64`
6 896×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1023	7836
1	3548	7487
0	8408	7182
0	44	265
1	403	263
2	4622	263
0	9097	254
0	2102	22703
1	7298	22703
0	8139	21707
0	42	176
1	375	160
2	3781	160
0	8171	151
0	14	76
1	111	68
2	1149	68
0	8157	64
0	890	7202
1	3046	6933
0	8239	6617
0	700	5640
1	2487	5408
0	8106	5128
0	40	190
1	332	171
2	3268	170
0	8739	168

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
1×	iter limit
1×	node limit

Compiler

Compiled 2 620 to 1 239 computations (52.7% saved)

preprocess143.0ms (0.9%)

Memory: 0.8MiB live, 398.1MiB allocated
Compiler: Compiled 1 682 to 414 computations (75.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	155	713
1	215	713
2	247	713
3	274	713
4	295	713
5	306	713
6	316	713
7	323	713
8	328	713
9	331	713
10	332	713

Iter	Nodes	Cost
0	155	713
1	215	713
2	247	713
3	274	713
4	295	713
5	306	713
6	316	713
7	323	713
8	328	713
9	331	713
10	332	713

Iter	Nodes	Cost
0	155	713
1	215	713
2	247	713
3	274	713
4	295	713
5	306	713
6	316	713
7	323	713
8	328	713
9	331	713
10	332	713