Metrics for Octave 3.8, jcobi/3

analyze2.0ms (0%)

Memory

3.2MiB live, 3.2MiB 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)

sample1.7s (12.7%)

Memory

-111.5MiB live, 1 890.1MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-add: 643.0ms (63.6% of total)

ival-div: 161.0ms (15.9% of total)

ival-mult: 140.0ms (13.9% of total)

ival->: 39.0ms (3.9% of total)

exact: 15.0ms (1.5% of total)

ival-and: 10.0ms (1% of total)

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

Bogosity

preprocess822.0ms (6%)

Memory

13.0MiB live, 1 127.6MiB allocated

Algorithm

1×	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	36	149
1	112	137
2	432	135
3	2612	127
4	6396	127
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))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))

Symmetry

(sort alpha beta)

explain198.0ms (1.4%)

Memory

-6.5MiB live, 437.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(/.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	15	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))`	overflow	15
↳	`(*.f64 beta alpha)`	overflow	15
↳	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))`	overflow	15

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	510×	0	valid
0.0ms	2×	1	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 (44.9% of total)

ival-div: 8.0ms (27.6% of total)

ival-mult: 6.0ms (20.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(/.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)))

Status

Accuracy

Program

▶

94.1%

(/.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 37 to 14 computations (62.2% saved)

simplify850.0ms (6.2%)

Memory

29.8MiB live, 1 066.3MiB 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	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 (+.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))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 3 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))) (.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 (+.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))
(+.f64 alpha (fma.f64 alpha beta 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))

localize45.0ms (0.3%)

Memory

-23.1MiB live, 90.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.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	99.9%	(/.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)))
✓	accuracy	94.4%	(/.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

23.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 6.0ms (45% of total)

ival-div: 4.0ms (30% of total)

ival-mult: 3.0ms (22.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory

17.8MiB live, 55.3MiB allocated

Counts

5 → 96

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)))>

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

Calls

24 calls:

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

rewrite368.0ms (2.7%)

Memory

28.1MiB live, 603.5MiB 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	69
1	111	61
2	1149	61
0	8157	58

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 306

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)))

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 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta))) (+.f64 alpha (-.f64 (fma.f64 alpha beta 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 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta 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 (.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta))) (+.f64 alpha (-.f64 (fma.f64 alpha beta 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 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta 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 #s(literal 0 binary64) (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha 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)))))))
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(*.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
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(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha 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 (+.f64 beta (fma.f64 alpha 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 (+.f64 alpha (fma.f64 alpha beta beta)) (.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta)) #s(literal 1 binary64)) (+.f64 alpha (fma.f64 alpha beta beta)))))
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simplify437.0ms (3.2%)

Memory

-23.3MiB live, 598.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 140×	`+-lowering-+.f64`
7 140×	`+-lowering-+.f32`
6 772×	`accelerator-lowering-fma.f32`
6 772×	`accelerator-lowering-fma.f64`
4 944×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	5446
1	2405	5222
0	8136	4956

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

eval308.0ms (2.2%)

Memory: -13.9MiB live, 103.9MiB allocated
Compiler: Compiled 20 047 to 1 614 computations (91.9% saved)

prune64.0ms (0.5%)

Memory

29.3MiB live, 149.6MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	388	16	404
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	389	16	405

Accuracy

100.0%

Counts

405 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(/.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)))
▶	92.3%	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #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)))))
▶	94.7%	(/.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)))
	60.5%	(/.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)))
	53.8%	(/.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)))
▶	53.9%	(/.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)))
	86.2%	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha 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)))))
	89.3%	(/.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))))
	4.7%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
	51.0%	(/.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)))
▶	50.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	68.6%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta)) #s(literal -1 binary64)))) (/.f64 (+.f64 alpha (-.f64 beta #s(literal 2 binary64))) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	92.2%	(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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)))))
	93.8%	(/.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 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))))))))
	86.4%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #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 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))))))
	86.4%	(.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha 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 840 to 456 computations (45.7% saved)

simplify380.0ms (2.8%)

Memory

-5.2MiB live, 433.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	320	(+.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)))
✓	cost-diff	384	(/.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)))
✓	cost-diff	704	(+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))
✓	cost-diff	0	(+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓	cost-diff	64	(+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #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)))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓	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	384	(/.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)))
✓	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	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 (+.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	384	(/.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)))

Rules

10 146×	`accelerator-lowering-fma.f32`
10 146×	`accelerator-lowering-fma.f64`
3 424×	`+-lowering-+.f64`
3 424×	`+-lowering-+.f32`
2 864×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	357
1	108	357
2	337	357
3	1849	351
4	2484	351
5	3116	337
6	5954	337
0	8199	326

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize161.0ms (1.2%)

Memory

19.9MiB live, 293.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))
✓	accuracy	99.9%	(/.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)
✓	accuracy	99.8%	(/.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)))
✓	accuracy	99.7%	(+.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)))
✓	accuracy	100.0%	(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	96.4%	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #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)))))
✓	accuracy	94.4%	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓	accuracy	99.7%	(/.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)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	96.3%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.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)))
✓	accuracy	71.3%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Samples

88.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 386 to 45 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 24.0ms (37.8% of total)

ival-div: 20.0ms (31.5% of total)

ival-add: 17.0ms (26.8% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series50.0ms (0.4%)

Memory

-16.9MiB live, 97.7MiB allocated

Counts

21 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(/ (/ (+ (+ (+ 1 alpha) (+ (/ 1 beta) (/ alpha beta))) (* (- -1 alpha) (/ (+ (* 2 alpha) 4) beta))) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
3.0ms	beta	@	0	(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))
3.0ms	alpha	@	-inf	(/ (/ (+ (+ (+ 1 alpha) (+ (/ 1 beta) (/ alpha beta))) (* (- -1 alpha) (/ (+ (* 2 alpha) 4) beta))) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
3.0ms	beta	@	-inf	(/ (/ (+ 1 alpha) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
1.0ms	beta	@	0	(/ (/ (+ (+ (+ 1 alpha) (+ (/ 1 beta) (/ alpha beta))) (* (- -1 alpha) (/ (+ (* 2 alpha) 4) beta))) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))

rewrite390.0ms (2.8%)

Memory

-1.5MiB live, 634.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 994×	`-lowering-.f32`
3 994×	`-lowering-.f64`
3 638×	`/-lowering-/.f32`
3 638×	`/-lowering-/.f64`
3 068×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	233
1	366	223
2	4499	223
0	8126	212

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 849

Calls

Call 1

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

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

simplify448.0ms (3.3%)

Memory

-8.3MiB live, 877.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 530×	`accelerator-lowering-fma.f32`
5 530×	`accelerator-lowering-fma.f64`
5 396×	`+-lowering-+.f64`
5 396×	`+-lowering-+.f32`
4 352×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1307	10547
1	4427	10110
0	8217	9734

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(/ 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))
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(* -1 (- (* -1 beta) 1))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -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)))
(+ (* -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)))
(/ (+ 1 alpha) (+ 2 alpha))
(+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* 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))))
(+ (* 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))))
(+ 1 alpha)
(- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 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))
(- (+ 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))))
(* -1 (- (* -1 alpha) 1))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -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)))
(+ (* -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)))
1
(+ 1 (* beta (+ 1 alpha)))
(+ 1 (* beta (+ 1 alpha)))
(+ 1 (* beta (+ 1 alpha)))
(* beta (+ 1 alpha))
(* beta (+ 1 (+ alpha (/ 1 beta))))
(* beta (+ 1 (+ alpha (/ 1 beta))))
(* beta (+ 1 (+ alpha (/ 1 beta))))
(* -1 (* beta (- (* -1 alpha) 1)))
(* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))
(* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))
(* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))
(+ 1 beta)
(+ 1 (+ beta (* alpha beta)))
(+ 1 (+ beta (* alpha beta)))
(+ 1 (+ beta (* alpha beta)))
(* alpha beta)
(* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))
(* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))
(* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))
(* alpha beta)
(* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))
(* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))
(* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (* -1 alpha) 1) beta))
(/ 1 beta)
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ (- 1 (* 3 (/ 1 beta))) (* beta (+ 3 beta)))
(- (+ (* alpha (- (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (/ 1 (* beta (+ 3 beta)))) (+ (* 5 (/ 1 (* (pow beta 2) (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2)))))) (/ 1 (* beta (+ 3 beta)))) (/ 3 (* (pow beta 2) (+ 3 beta))))
(- (+ (* alpha (- (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (+ (* alpha (- (+ (* 5 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (/ 1 (* beta (pow (+ 3 beta) 3)))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 3 beta)))) (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 3)))) (/ 1 (* beta (pow (+ 3 beta) 2))))))) (/ 1 (* beta (+ 3 beta))))) (+ (* 5 (/ 1 (* (pow beta 2) (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2)))))) (/ 1 (* beta (+ 3 beta)))) (/ 3 (* (pow beta 2) (+ 3 beta))))
(- (+ (* alpha (- (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (+ (* alpha (- (+ (* 5 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (+ (* alpha (- (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 4)))) (/ 1 (* beta (pow (+ 3 beta) 3))))) (+ (* 5 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 3)))) (/ 1 (* beta (pow (+ 3 beta) 4)))))) (/ 1 (* beta (pow (+ 3 beta) 3))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 3 beta)))) (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 3)))) (/ 1 (* beta (pow (+ 3 beta) 2))))))) (/ 1 (* beta (+ 3 beta))))) (+ (* 5 (/ 1 (* (pow beta 2) (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2)))))) (/ 1 (* beta (+ 3 beta)))) (/ 3 (* (pow beta 2) (+ 3 beta))))
(* -2 (/ alpha (pow beta 2)))
(* alpha (- (/ 1 (* alpha beta)) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(* alpha (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (+ (/ 5 (* alpha (pow beta 2))) (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2)))))) (pow alpha 2))))))))
(* alpha (- (+ (* -1 (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* 3 (/ 1 (pow beta 2))) (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2))))))))) (pow alpha 3))) (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta)))) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (+ (/ 5 (* alpha (pow beta 2))) (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2)))))) (pow alpha 2))))))))
(* -2 (/ alpha (pow beta 2)))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta)) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2))))))) alpha)) (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta))) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ 3 beta) (- (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta)) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2)))))))) alpha)) (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta))) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2))))))) alpha))) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (pow beta 2) (+ 3 alpha)))
(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (* beta (- (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 3))) (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3)))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (* beta (- (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 3))) (+ (* beta (- (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 4))) (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4)))))) (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (* -1 (/ (* (+ 3 alpha) (- (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 3 alpha) 2) (- (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 3))))))) (+ (/ (* (+ 1 alpha) (+ 3 alpha)) beta) (/ (* (+ 3 alpha) (- (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 2)))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) beta)))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) (/ (* (+ 3 alpha) (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) beta)) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) (* -1 (/ (+ (* -1 (* (+ 3 alpha) (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha))))) (/ (* (pow (+ 3 alpha) 2) (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) beta)) beta))) beta)))) (pow beta 2))
(- 1 (* 3 (/ 1 beta)))
(- (+ 1 (* alpha (- 1 (* 5 (/ 1 beta))))) (* 3 (/ 1 beta)))
(- (+ 1 (* alpha (- (+ 1 (* -2 (/ alpha beta))) (* 5 (/ 1 beta))))) (* 3 (/ 1 beta)))
(- (+ 1 (* alpha (- (+ 1 (* -2 (/ alpha beta))) (* 5 (/ 1 beta))))) (* 3 (/ 1 beta)))
(* -2 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (/ 1 alpha) (+ (* 2 (/ 1 beta)) (/ 5 (* alpha beta)))))
(* (pow alpha 2) (- (+ (/ 1 alpha) (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 beta)) (+ (* 3 (/ 1 (* (pow alpha 2) beta))) (/ 5 (* alpha beta))))))
(* (pow alpha 2) (- (+ (/ 1 alpha) (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 beta)) (+ (* 3 (/ 1 (* (pow alpha 2) beta))) (/ 5 (* alpha beta))))))
(* -2 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 3 (/ 1 beta))) alpha)) (* 5 (/ 1 beta))) 1) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 3 (/ 1 beta))) alpha)) (* 5 (/ 1 beta))) 1) alpha)) (* 2 (/ 1 beta))))
(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) beta)
(+ 1 alpha)
(+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta)))))
(+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta)))))
(+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta)))))
(+ 1 alpha)
(+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) beta))))
(+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) beta))))
(+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) 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)))))
(* (+ 2 beta) (+ 3 beta))
(+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (+ 2 alpha) (+ 3 alpha))
(+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(/ (- 1 (* 3 (/ 1 beta))) beta)
(- (+ (* alpha (- (/ 1 beta) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(- (+ (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta)) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(- (+ (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta)) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(* -2 (/ (pow alpha 2) (pow beta 2)))
(* (pow alpha 2) (- (/ 1 (* alpha beta)) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2))))))
(* (pow alpha 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(* (pow alpha 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(* -2 (/ (pow alpha 2) (pow beta 2)))
(* (pow alpha 2) (- (* -1 (/ (- (* 5 (/ 1 (pow beta 2))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 beta) (* 3 (/ 1 (pow beta 2)))) alpha)) (* 5 (/ 1 (pow beta 2)))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 beta) (* 3 (/ 1 (pow beta 2)))) alpha)) (* 5 (/ 1 (pow beta 2)))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/ (+ 1 alpha) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(/ -4 beta)
(- (* -6 (/ alpha beta)) (* 4 (/ 1 beta)))
(- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta)))
(- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta)))
(* -2 (/ (pow alpha 2) beta))
(* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta))))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* -2 (/ (pow alpha 2) beta))
(* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta))))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))

Outputs
(/ 1/4 (+ 3 alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) 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))))
(fma.f64 beta (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) alpha)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) alpha)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (.f64 #s(literal 1/16 binary64) (+.f64 alpha #s(literal 7 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (neg.f64 beta) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) alpha)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
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(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) (/.f64 (-.f64 #s(literal -7 binary64) alpha) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
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(/ (+ 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))
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(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
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(+ (* -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)))))
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(+ (* 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)))))
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(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
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(/ (- (+ (/ 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)
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(/ (- (+ (* -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)
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(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
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(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
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(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
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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(* -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 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
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))))
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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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1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (pow beta 2)))
(fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
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(* alpha (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (+ (/ 5 (* alpha (pow beta 2))) (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2)))))) (pow alpha 2))))))))
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(* alpha (- (+ (* -1 (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* 3 (/ 1 (pow beta 2))) (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2))))))))) (pow alpha 3))) (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta)))) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (+ (/ 5 (* alpha (pow beta 2))) (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2)))))) (pow alpha 2))))))))
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(* -2 (/ alpha (pow beta 2)))
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(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
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(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta)) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2))))))) alpha)) (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta))) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
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(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ 3 beta) (- (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta)) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2)))))))) alpha)) (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta))) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2))))))) alpha))) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
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(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (pow beta 2) (+ 3 alpha)))
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(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
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(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (* beta (- (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 3))) (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3)))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
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(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (* beta (- (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 3))) (+ (* beta (- (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 4))) (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4)))))) (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
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(/ (+ 1 alpha) (pow beta 2))
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beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+.f64 beta (*.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+.f64 beta (*.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+.f64 beta (*.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal -1 binary64)))
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta)
(- (+ (* alpha (- (/ 1 beta) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(fma.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal -5 binary64) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal -3 binary64) (.f64 beta beta))))
(- (+ (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta)) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(fma.f64 alpha (+.f64 (fma.f64 (/.f64 alpha (.f64 beta beta)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal -5 binary64) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal -3 binary64) (*.f64 beta beta))))
(- (+ (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta)) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(fma.f64 alpha (+.f64 (fma.f64 (/.f64 alpha (.f64 beta beta)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal -5 binary64) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal -3 binary64) (*.f64 beta beta))))
(* -2 (/ (pow alpha 2) (pow beta 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 alpha alpha)) (*.f64 beta beta))
(* (pow alpha 2) (- (/ 1 (* alpha beta)) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2))))))
(.f64 (.f64 alpha alpha) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha beta)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 beta beta)) (/.f64 #s(literal 5 binary64) (.f64 alpha (.f64 beta beta))))))
(* (pow alpha 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(.f64 (.f64 alpha alpha) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 alpha alpha)))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 beta beta)) (/.f64 #s(literal 5 binary64) (.f64 alpha (.f64 beta beta)))) (/.f64 #s(literal 3 binary64) (.f64 (.f64 beta beta) (*.f64 alpha alpha))))))
(* (pow alpha 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(.f64 (.f64 alpha alpha) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 alpha alpha)))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 beta beta)) (/.f64 #s(literal 5 binary64) (.f64 alpha (.f64 beta beta)))) (/.f64 #s(literal 3 binary64) (.f64 (.f64 beta beta) (*.f64 alpha alpha))))))
(* -2 (/ (pow alpha 2) (pow beta 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 alpha alpha)) (*.f64 beta beta))
(* (pow alpha 2) (- (* -1 (/ (- (* 5 (/ 1 (pow beta 2))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) (.f64 beta beta)) (/.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)) (/.f64 #s(literal -2 binary64) (.f64 beta beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 beta) (* 3 (/ 1 (pow beta 2)))) alpha)) (* 5 (/ 1 (pow beta 2)))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 5 binary64) (.f64 beta beta)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal -3 binary64) (.f64 beta beta))) alpha)) (/.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)) (/.f64 #s(literal -2 binary64) (*.f64 beta beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 beta) (* 3 (/ 1 (pow beta 2)))) alpha)) (* 5 (/ 1 (pow beta 2)))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 5 binary64) (.f64 beta beta)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal -3 binary64) (.f64 beta beta))) alpha)) (/.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)) (/.f64 #s(literal -2 binary64) (*.f64 beta beta))))
(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha) alpha)) (*.f64 beta beta))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)) (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha))) (.f64 beta beta))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)) (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha))) (.f64 beta beta))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)) (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha))) (.f64 beta beta))
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)))) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta) (/.f64 alpha (neg.f64 beta)))) (/.f64 #s(literal -1 binary64) beta)) (neg.f64 beta))
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta) (/.f64 alpha (neg.f64 beta)))) (/.f64 #s(literal -1 binary64) beta)) (neg.f64 beta))
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta) (/.f64 alpha (neg.f64 beta)))) (/.f64 #s(literal -1 binary64) beta)) (neg.f64 beta))
(/ -4 beta)
(/.f64 #s(literal -4 binary64) beta)
(- (* -6 (/ alpha beta)) (* 4 (/ 1 beta)))
(fma.f64 (/.f64 alpha beta) #s(literal -6 binary64) (/.f64 #s(literal -4 binary64) beta))
(- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta)))
(fma.f64 alpha (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) (/.f64 #s(literal -6 binary64) beta)) (/.f64 #s(literal -4 binary64) beta))
(- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta)))
(fma.f64 alpha (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) (/.f64 #s(literal -6 binary64) beta)) (/.f64 #s(literal -4 binary64) beta))
(* -2 (/ (pow alpha 2) beta))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 alpha alpha)) beta)
(* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta))))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 6 binary64) (.f64 alpha beta))) (neg.f64 (*.f64 alpha alpha)))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (neg.f64 alpha)) (/.f64 #s(literal -2 binary64) beta)))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (neg.f64 alpha)) (/.f64 #s(literal -2 binary64) beta)))
(* -2 (/ (pow alpha 2) beta))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 alpha alpha)) beta)
(* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta))))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 6 binary64) (.f64 alpha beta))) (neg.f64 (*.f64 alpha alpha)))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (neg.f64 alpha)) (/.f64 #s(literal -2 binary64) beta)))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (neg.f64 alpha)) (/.f64 #s(literal -2 binary64) beta)))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(/.f64 (*.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) beta)

eval313.0ms (2.3%)

Memory: 61.2MiB live, 474.9MiB allocated
Compiler: Compiled 54 593 to 4 350 computations (92% saved)

prune243.0ms (1.8%)

Memory

-28.6MiB live, 504.2MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	1 574	25	1 599
Fresh	9	2	11
Picked	4	1	5
Done	0	0	0
Total	1 587	28	1 615

Accuracy

100.0%

Counts

1 615 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (fma.f64 (pow.f64 beta #s(literal -1/2 binary64)) (pow.f64 beta #s(literal -1/2 binary64)) (/.f64 alpha beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	47.9%	(/.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	47.4%	(/.f64 (fma.f64 (.f64 beta beta) #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)))
	86.2%	(/.f64 (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	48.6%	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) (-.f64 alpha #s(literal 1 binary64))) (.f64 beta beta))
	52.6%	(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
	94.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
	60.5%	(/.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)))
	53.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
	53.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 3 binary64) beta))
	53.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	53.9%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
	89.3%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
	57.1%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	51.0%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
▶	47.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
▶	50.5%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	50.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	92.2%	(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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)))))
▶	94.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
	30.5%	(/.f64 alpha (*.f64 beta beta))
	53.3%	(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
	49.3%	(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
	49.0%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
▶	6.2%	(/.f64 #s(literal 1 binary64) beta)
	50.1%	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	48.0%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
▶	89.6%	(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))

Compiler

Compiled 867 to 556 computations (35.9% saved)

simplify411.0ms (3%)

Memory

-19.7MiB live, 465.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

14 532×	`accelerator-lowering-fma.f32`
14 532×	`accelerator-lowering-fma.f64`
3 608×	`-lowering-.f32`
3 608×	`-lowering-.f64`
2 718×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	205
1	81	199
2	249	199
3	708	199
4	2444	199
5	4558	199
6	4676	199
7	4803	199
8	4831	199
9	4933	199
10	5188	199
11	7241	199
12	7481	199
13	7639	199
14	7881	199
15	7959	199
0	8121	193

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize122.0ms (0.9%)

Memory

16.4MiB live, 212.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	accuracy	93.6%	(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta))
✓	accuracy	99.9%	(*.f64 beta (+.f64 #s(literal 3 binary64) beta))
✓	accuracy	99.3%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	99.9%	(*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
✓	accuracy	96.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	accuracy	99.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Samples

44.0ms	227×	0	valid
8.0ms	23×	1	valid
4.0ms	4×	5	exit
1.0ms	2×	2	valid

Compiler

Compiled 207 to 28 computations (86.5% saved)

Precisions

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

ival-div: 13.0ms (37.6% of total)

ival-mult: 10.0ms (28.9% of total)

ival-add: 9.0ms (26% of total)

adjust: 2.0ms (5.8% of total)

exact: 1.0ms (2.9% of total)

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

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

series25.0ms (0.2%)

Memory

13.1MiB live, 47.8MiB allocated

Counts

18 → 312

Calls

Call 1

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

Outputs
#<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 (/ 1 (+ 3 alpha))>
#<alt (+ (* beta (- (/ 1 (+ 3 alpha)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))>
#<alt (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 4)))) (/ 1 (pow (+ 3 alpha) 3))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 1 (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (* (+ 2 alpha) (pow (+ 3 alpha) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (+ 3 alpha) beta)) (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 3 alpha))) (+ 3 alpha)) beta) (+ 1 (* -1 (+ 3 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 3 alpha))) (pow (+ 3 alpha) 2)) beta) (* (+ 1 (* -1 (+ 3 alpha))) (+ 3 alpha))) beta)) (+ 1 (* -1 (+ 3 alpha)))) beta)))>
#<alt (/ (+ 1 beta) (+ 3 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2)))) (+ 3 beta)) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 3 beta) 4)) (/ beta (pow (+ 3 beta) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))) (+ 3 beta))))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 3 beta)) alpha)))) alpha)>
#<alt (/ (- (+ 1 (+ beta (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow alpha 2)))) (/ (* (+ 1 beta) (+ 3 beta)) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (pow alpha 3))))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow alpha 2))) (/ (* (+ 1 beta) (+ 3 beta)) alpha))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 3 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) alpha) (* (+ 1 beta) (+ 3 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) alpha) (* (+ 1 beta) (pow (+ 3 beta) 2))) alpha)) (* (+ 1 beta) (+ 3 beta))) alpha))) alpha))>
#<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 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 (/ 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 (* beta (+ 3 beta)))>
#<alt (+ (* alpha (- (/ 1 (* beta (+ 3 beta))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (/ 1 (* beta (pow (+ 3 beta) 3))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ 1 (* beta (pow (+ 3 beta) 3))) (/ 1 (* beta (pow (+ 3 beta) 4))))) (/ 1 (* beta (pow (+ 3 beta) 3)))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta))))>
#<alt (/ 1 beta)>
#<alt (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ (/ 1 alpha) (/ 3 (* alpha beta))))>
#<alt (- (+ (* -1 (/ (* (+ 3 beta) (- (/ 1 beta) (+ 1 (* 3 (/ 1 beta))))) (pow alpha 2))) (+ (/ 1 beta) (/ 1 (* alpha beta)))) (+ (/ 1 alpha) (/ 3 (* alpha beta))))>
#<alt (- (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (/ (* (pow (+ 3 beta) 2) (- (/ 1 beta) (+ 1 (* 3 (/ 1 beta))))) (pow alpha 3)))) (+ (/ 1 alpha) (+ (/ 3 (* alpha beta)) (/ (* (+ 3 beta) (- (/ 1 beta) (+ 1 (* 3 (/ 1 beta))))) (pow alpha 2)))))>
#<alt (/ 1 beta)>
#<alt (+ (* -1 (/ (+ 3 beta) (* alpha beta))) (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (+ (* -1 (/ (- (/ (* (+ 3 beta) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha)) (/ 1 beta))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 3 beta) 2) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha) (* (+ 3 beta) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta)))) alpha)) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha)) (/ 1 beta))>
#<alt (/ (+ 1 alpha) (* beta (+ 3 alpha)))>
#<alt (/ (+ (* -1 (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)>
#<alt (/ (+ (* beta (- (/ (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))) (+ 3 alpha)) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)>
#<alt (/ (+ (* beta (- (* beta (- (* -1 (* beta (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))) (+ 3 alpha))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) beta)) (* (+ 1 alpha) (pow (+ 3 alpha) 2))) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) (pow beta 2))>
#<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 (* beta (+ 3 alpha))>
#<alt (* beta (+ 3 (+ alpha beta)))>
#<alt (* beta (+ 3 (+ alpha beta)))>
#<alt (* beta (+ 3 (+ alpha beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 3 beta))>
#<alt (+ (* alpha beta) (* beta (+ 3 beta)))>
#<alt (+ (* alpha beta) (* beta (+ 3 beta)))>
#<alt (+ (* alpha beta) (* beta (+ 3 beta)))>
#<alt (* alpha beta)>
#<alt (* alpha (+ beta (/ (* beta (+ 3 beta)) alpha)))>
#<alt (* alpha (+ beta (/ (* beta (+ 3 beta)) alpha)))>
#<alt (* alpha (+ beta (/ (* beta (+ 3 beta)) alpha)))>
#<alt (* alpha beta)>
#<alt (* -1 (* alpha (+ (* -1 beta) (* -1 (/ (* beta (+ 3 beta)) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 beta) (* -1 (/ (* beta (+ 3 beta)) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 beta) (* -1 (/ (* beta (+ 3 beta)) alpha)))))>
#<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 (+ 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 (/ -1 (pow beta 2))>
#<alt (/ (- (* 2/3 beta) 1) (pow beta 2))>
#<alt (/ (- (* beta (+ 2/3 (* -2/9 beta))) 1) (pow beta 2))>
#<alt (/ (- (* beta (+ 2/3 (* beta (- (* 2/27 beta) 2/9)))) 1) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 18 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 18 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 54 (/ 1 (pow beta 3))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 18 (/ 1 beta))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 18 (* 54 (/ 1 beta))) beta))) beta))) (pow beta 2))>
#<alt (/ -3 beta)>
#<alt (/ (- beta 3) beta)>
#<alt (/ (- beta 3) beta)>
#<alt (/ (- beta 3) beta)>
#<alt 1>
#<alt (- 1 (* 3 (/ 1 beta)))>
#<alt (- 1 (* 3 (/ 1 beta)))>
#<alt (- 1 (* 3 (/ 1 beta)))>
#<alt 1>
#<alt (- 1 (* 3 (/ 1 beta)))>
#<alt (- 1 (* 3 (/ 1 beta)))>
#<alt (- 1 (* 3 (/ 1 beta)))>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (/ -3 beta)>
#<alt (* 3 beta)>
#<alt (* beta (+ 3 beta))>
#<alt (* beta (+ 3 beta))>
#<alt (* beta (+ 3 beta))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (* 3 (/ 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 (/ 1/4 (+ 3 alpha))>
#<alt (+ (* -1/16 (/ (* beta (+ 4 (* 4 (+ 3 alpha)))) (pow (+ 3 alpha) 2))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -1/64 (/ (pow (+ 4 (* 4 (+ 3 alpha))) 2) (pow (+ 3 alpha) 3))) (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2)))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* -1/64 (/ (pow (+ 4 (* 4 (+ 3 alpha))) 2) (pow (+ 3 alpha) 3))) (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))))) (+ 3 alpha))) (+ (* -1/64 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ 7 alpha)) (pow (+ 3 alpha) 3))) (* 1/16 (/ 1 (pow (+ 3 alpha) 2))))))) (+ (* -1/64 (/ (pow (+ 4 (* 4 (+ 3 alpha))) 2) (pow (+ 3 alpha) 3))) (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2)))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (/ 1 (pow beta 3))>
#<alt (/ (+ 1 (* -1 (/ (+ 7 alpha) beta))) (pow beta 3))>
#<alt (/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (pow (+ 7 alpha) 2)) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 7 (/ 1 beta)) (/ alpha beta))) (pow beta 3))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 7 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (pow (+ 7 alpha) 2)) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 7 alpha) 2) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 7 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 3))>
#<alt (/ 1 (pow beta 3))>
#<alt (* -1 (/ (- (+ (* 7 (/ 1 beta)) (/ alpha beta)) 1) (pow beta 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 4 (+ (* -4 (+ 3 alpha)) (pow (+ 7 alpha) 2))) beta)) (+ 7 alpha)) beta)) 1) (pow beta 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 4 (+ (* -1 (/ (* (+ 7 alpha) (- 4 (+ (* -4 (+ 3 alpha)) (pow (+ 7 alpha) 2)))) beta)) (+ (* 4 (/ (+ 3 alpha) beta)) (/ (* (+ 7 alpha) (- (* -4 (+ 3 alpha)) 4)) beta)))) (+ (* -4 (+ 3 alpha)) (pow (+ 7 alpha) 2))) beta)) (+ 7 alpha)) beta)) 1) (pow beta 3)))>
#<alt (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* -1 (/ alpha (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))))>
#<alt (+ (* alpha (- (/ alpha (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 3))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))))>
#<alt (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 3))))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))))>
#<alt (/ 1 (* alpha (pow (+ 2 beta) 2)))>
#<alt (/ (+ (* -1 (/ (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) alpha)) (/ 1 (pow (+ 2 beta) 2))) alpha)>
#<alt (/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* (+ 3 beta) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (/ 3 (* alpha (pow (+ 2 beta) 2))) (/ beta (* alpha (pow (+ 2 beta) 2))))) alpha)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ 3 beta) 2) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (pow alpha 3))) (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ 3 beta) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (/ 3 (* alpha (pow (+ 2 beta) 2))) (/ beta (* alpha (pow (+ 2 beta) 2)))))) alpha)>
#<alt (/ 1 (* alpha (pow (+ 2 beta) 2)))>
#<alt (* -1 (/ (- (+ (/ 3 (* alpha (pow (+ 2 beta) 2))) (/ beta (* alpha (pow (+ 2 beta) 2)))) (/ 1 (pow (+ 2 beta) 2))) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ 3 beta) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) alpha) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) alpha)) (/ 1 (pow (+ 2 beta) 2))) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 3 beta) 2) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) alpha) (* (+ 3 beta) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))))) alpha)) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) alpha)) (/ 1 (pow (+ 2 beta) 2))) alpha))>
#<alt 3>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<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 (* 4 (+ 3 alpha))>
#<alt (+ (* 4 (+ 3 alpha)) (* beta (+ 4 (* 4 (+ 3 alpha)))))>
#<alt (+ (* 4 (+ 3 alpha)) (* beta (+ 4 (+ (* 4 (+ 3 alpha)) (* beta (+ 7 alpha))))))>
#<alt (+ (* 4 (+ 3 alpha)) (* beta (+ 4 (+ (* 4 (+ 3 alpha)) (* beta (+ 7 (+ alpha beta)))))))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ alpha beta))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 7 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta))))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 3))) (+ (* 7 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))))>
#<alt (pow beta 3)>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 alpha) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ alpha (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)))) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ alpha (* -1 (/ (- (+ (* -4 (+ 3 alpha)) (* -4 (/ (+ 3 alpha) beta))) 4) beta)))) beta)) 1)))>
#<alt (* (pow (+ 2 beta) 2) (+ 3 beta))>
#<alt (+ (* alpha (pow (+ 2 beta) 2)) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (pow (+ 2 beta) 2)) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (pow (+ 2 beta) 2)) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (* alpha (pow (+ 2 beta) 2))>
#<alt (* alpha (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha) (pow (+ 2 beta) 2)))>
#<alt (* alpha (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha) (pow (+ 2 beta) 2)))>
#<alt (* alpha (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha) (pow (+ 2 beta) 2)))>
#<alt (* alpha (pow (+ 2 beta) 2))>
#<alt (* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))))>

Calls

78 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	inf	(* beta (+ beta (+ alpha 3)))
3.0ms	beta	@	-inf	(/ (+ 1 (/ -3 beta)) (* beta (+ 3 beta)))
1.0ms	beta	@	0	(/ 1 (* (* (+ beta 2) (+ beta 2)) (+ beta (+ alpha 3))))
1.0ms	alpha	@	inf	(/ 1 (* (* (+ beta 2) (+ beta 2)) (+ beta (+ alpha 3))))
1.0ms	beta	@	inf	(/ 1 (* (* (+ beta 2) (+ beta 2)) (+ beta (+ alpha 3))))

rewrite451.0ms (3.3%)

Memory

-27.0MiB live, 740.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 080×	`/-lowering-/.f32`
5 080×	`/-lowering-/.f64`
4 152×	`-lowering-.f32`
4 152×	`-lowering-.f64`
2 784×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	130
1	200	128
2	1820	128
0	8350	128

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 153

Calls

Call 1

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

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

simplify413.0ms (3%)

Memory

43.2MiB live, 871.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 292×	`accelerator-lowering-fma.f32`
7 292×	`accelerator-lowering-fma.f64`
5 544×	`+-lowering-+.f64`
5 544×	`+-lowering-+.f32`
5 526×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	787	6029
1	2581	5721
0	8263	5549

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(/ 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))
(/ 1 (+ 3 alpha))
(+ (* beta (- (/ 1 (+ 3 alpha)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))
(+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 3 alpha) 3)) (/ 1 (pow (+ 3 alpha) 4)))) (/ 1 (pow (+ 3 alpha) 3))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha))) (/ 1 (pow (+ 3 alpha) 2)))) (/ 1 (+ 3 alpha)))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (* (+ 2 alpha) (pow (+ 3 alpha) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
1
(+ 1 (+ (* -1 (/ (+ 3 alpha) beta)) (/ 1 beta)))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 3 alpha))) (+ 3 alpha)) beta) (+ 1 (* -1 (+ 3 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 3 alpha))) (pow (+ 3 alpha) 2)) beta) (* (+ 1 (* -1 (+ 3 alpha))) (+ 3 alpha))) beta)) (+ 1 (* -1 (+ 3 alpha)))) beta)))
(/ (+ 1 beta) (+ 3 beta))
(+ (* -1 (* alpha (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2)))) (+ 3 beta)) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 3 beta) 4)) (/ beta (pow (+ 3 beta) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))) (+ 3 beta))))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 3 beta)) alpha)))) alpha)
(/ (- (+ 1 (+ beta (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow alpha 2)))) (/ (* (+ 1 beta) (+ 3 beta)) alpha)) alpha)
(/ (- (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (pow alpha 3))))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow alpha 2))) (/ (* (+ 1 beta) (+ 3 beta)) alpha))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 3 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) alpha) (* (+ 1 beta) (+ 3 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) alpha) (* (+ 1 beta) (pow (+ 3 beta) 2))) alpha)) (* (+ 1 beta) (+ 3 beta))) alpha))) alpha))
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)))))
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)))
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 (* beta (+ 3 beta)))
(+ (* alpha (- (/ 1 (* beta (+ 3 beta))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta))))
(+ (* alpha (- (+ (* alpha (- (/ 1 (* beta (pow (+ 3 beta) 3))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ 1 (* beta (pow (+ 3 beta) 3))) (/ 1 (* beta (pow (+ 3 beta) 4))))) (/ 1 (* beta (pow (+ 3 beta) 3)))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2))))) (/ 1 (* beta (+ 3 beta))))
(/ 1 beta)
(- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ (/ 1 alpha) (/ 3 (* alpha beta))))
(- (+ (* -1 (/ (* (+ 3 beta) (- (/ 1 beta) (+ 1 (* 3 (/ 1 beta))))) (pow alpha 2))) (+ (/ 1 beta) (/ 1 (* alpha beta)))) (+ (/ 1 alpha) (/ 3 (* alpha beta))))
(- (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (/ (* (pow (+ 3 beta) 2) (- (/ 1 beta) (+ 1 (* 3 (/ 1 beta))))) (pow alpha 3)))) (+ (/ 1 alpha) (+ (/ 3 (* alpha beta)) (/ (* (+ 3 beta) (- (/ 1 beta) (+ 1 (* 3 (/ 1 beta))))) (pow alpha 2)))))
(/ 1 beta)
(+ (* -1 (/ (+ 3 beta) (* alpha beta))) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+ (* -1 (/ (- (/ (* (+ 3 beta) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha)) (/ 1 beta))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 3 beta) 2) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha) (* (+ 3 beta) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta)))) alpha)) (+ (* -1 (/ (+ 3 beta) beta)) (/ 1 beta))) alpha)) (/ 1 beta))
(/ (+ 1 alpha) (* beta (+ 3 alpha)))
(/ (+ (* -1 (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
(/ (+ (* beta (- (/ (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))) (+ 3 alpha)) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
(/ (+ (* beta (- (* beta (- (* -1 (* beta (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))) (+ 3 alpha))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) (pow beta 2))
(/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) beta)) (* (+ 1 alpha) (pow (+ 3 alpha) 2))) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) (pow beta 2))
1
(+ 1 alpha)
(+ 1 alpha)
(+ 1 alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* beta (+ 3 alpha))
(* beta (+ 3 (+ alpha beta)))
(* beta (+ 3 (+ alpha beta)))
(* beta (+ 3 (+ alpha beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 3 beta))
(+ (* alpha beta) (* beta (+ 3 beta)))
(+ (* alpha beta) (* beta (+ 3 beta)))
(+ (* alpha beta) (* beta (+ 3 beta)))
(* alpha beta)
(* alpha (+ beta (/ (* beta (+ 3 beta)) alpha)))
(* alpha (+ beta (/ (* beta (+ 3 beta)) alpha)))
(* alpha (+ beta (/ (* beta (+ 3 beta)) alpha)))
(* alpha beta)
(* -1 (* alpha (+ (* -1 beta) (* -1 (/ (* beta (+ 3 beta)) alpha)))))
(* -1 (* alpha (+ (* -1 beta) (* -1 (/ (* beta (+ 3 beta)) alpha)))))
(* -1 (* alpha (+ (* -1 beta) (* -1 (/ (* beta (+ 3 beta)) alpha)))))
(+ 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)))
(+ 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)))
(/ -1 (pow beta 2))
(/ (- (* 2/3 beta) 1) (pow beta 2))
(/ (- (* beta (+ 2/3 (* -2/9 beta))) 1) (pow beta 2))
(/ (- (* beta (+ 2/3 (* beta (- (* 2/27 beta) 2/9)))) 1) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 18 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 18 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 54 (/ 1 (pow beta 3))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- 6 (* 18 (/ 1 beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 18 (* 54 (/ 1 beta))) beta))) beta))) (pow beta 2))
(/ -3 beta)
(/ (- beta 3) beta)
(/ (- beta 3) beta)
(/ (- beta 3) beta)
1
(- 1 (* 3 (/ 1 beta)))
(- 1 (* 3 (/ 1 beta)))
(- 1 (* 3 (/ 1 beta)))
1
(- 1 (* 3 (/ 1 beta)))
(- 1 (* 3 (/ 1 beta)))
(- 1 (* 3 (/ 1 beta)))
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(/ -3 beta)
(* 3 beta)
(* beta (+ 3 beta))
(* beta (+ 3 beta))
(* beta (+ 3 beta))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))
(* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))
(* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))
(* (pow beta 2) (+ 1 (* 3 (/ 1 beta))))
(* (pow beta 2) (+ 1 (* 3 (/ 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))
(/ 1/4 (+ 3 alpha))
(+ (* -1/16 (/ (* beta (+ 4 (* 4 (+ 3 alpha)))) (pow (+ 3 alpha) 2))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (* -1 (* beta (+ (* -1/64 (/ (pow (+ 4 (* 4 (+ 3 alpha))) 2) (pow (+ 3 alpha) 3))) (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2)))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* -1/64 (/ (pow (+ 4 (* 4 (+ 3 alpha))) 2) (pow (+ 3 alpha) 3))) (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))))) (+ 3 alpha))) (+ (* -1/64 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ 7 alpha)) (pow (+ 3 alpha) 3))) (* 1/16 (/ 1 (pow (+ 3 alpha) 2))))))) (+ (* -1/64 (/ (pow (+ 4 (* 4 (+ 3 alpha))) 2) (pow (+ 3 alpha) 3))) (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2)))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(/ 1 (pow beta 3))
(/ (+ 1 (* -1 (/ (+ 7 alpha) beta))) (pow beta 3))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (pow (+ 7 alpha) 2)) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 7 (/ 1 beta)) (/ alpha beta))) (pow beta 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 7 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (pow (+ 7 alpha) 2)) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 7 alpha) 2) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 7 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 3))
(/ 1 (pow beta 3))
(* -1 (/ (- (+ (* 7 (/ 1 beta)) (/ alpha beta)) 1) (pow beta 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 4 (+ (* -4 (+ 3 alpha)) (pow (+ 7 alpha) 2))) beta)) (+ 7 alpha)) beta)) 1) (pow beta 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 4 (+ (* -1 (/ (* (+ 7 alpha) (- 4 (+ (* -4 (+ 3 alpha)) (pow (+ 7 alpha) 2)))) beta)) (+ (* 4 (/ (+ 3 alpha) beta)) (/ (* (+ 7 alpha) (- (* -4 (+ 3 alpha)) 4)) beta)))) (+ (* -4 (+ 3 alpha)) (pow (+ 7 alpha) 2))) beta)) (+ 7 alpha)) beta)) 1) (pow beta 3)))
(/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* -1 (/ alpha (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))))
(+ (* alpha (- (/ alpha (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 3))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 3))))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))))
(/ 1 (* alpha (pow (+ 2 beta) 2)))
(/ (+ (* -1 (/ (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) alpha)) (/ 1 (pow (+ 2 beta) 2))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* (+ 3 beta) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (/ 3 (* alpha (pow (+ 2 beta) 2))) (/ beta (* alpha (pow (+ 2 beta) 2))))) alpha)
(/ (- (+ (* -1 (/ (* (pow (+ 3 beta) 2) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (pow alpha 3))) (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ 3 beta) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (/ 3 (* alpha (pow (+ 2 beta) 2))) (/ beta (* alpha (pow (+ 2 beta) 2)))))) alpha)
(/ 1 (* alpha (pow (+ 2 beta) 2)))
(* -1 (/ (- (+ (/ 3 (* alpha (pow (+ 2 beta) 2))) (/ beta (* alpha (pow (+ 2 beta) 2)))) (/ 1 (pow (+ 2 beta) 2))) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (* (+ 3 beta) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) alpha) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) alpha)) (/ 1 (pow (+ 2 beta) 2))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 3 beta) 2) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) alpha) (* (+ 3 beta) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))))) alpha)) (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) alpha)) (/ 1 (pow (+ 2 beta) 2))) alpha))
3
(+ 3 alpha)
(+ 3 alpha)
(+ 3 alpha)
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
3
(+ 3 beta)
(+ 3 beta)
(+ 3 beta)
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
(* 4 (+ 3 alpha))
(+ (* 4 (+ 3 alpha)) (* beta (+ 4 (* 4 (+ 3 alpha)))))
(+ (* 4 (+ 3 alpha)) (* beta (+ 4 (+ (* 4 (+ 3 alpha)) (* beta (+ 7 alpha))))))
(+ (* 4 (+ 3 alpha)) (* beta (+ 4 (+ (* 4 (+ 3 alpha)) (* beta (+ 7 (+ alpha beta)))))))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ alpha beta))))
(* (pow beta 3) (+ 1 (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 7 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta))))))
(* (pow beta 3) (+ 1 (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 3))) (+ (* 7 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 alpha) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ alpha (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ alpha (* -1 (/ (- (+ (* -4 (+ 3 alpha)) (* -4 (/ (+ 3 alpha) beta))) 4) beta)))) beta)) 1)))
(* (pow (+ 2 beta) 2) (+ 3 beta))
(+ (* alpha (pow (+ 2 beta) 2)) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (pow (+ 2 beta) 2)) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (pow (+ 2 beta) 2)) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(* alpha (pow (+ 2 beta) 2))
(* alpha (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha) (pow (+ 2 beta) 2)))
(* alpha (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha) (pow (+ 2 beta) 2)))
(* alpha (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha) (pow (+ 2 beta) 2)))
(* alpha (pow (+ 2 beta) 2))
(* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))))
(* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))))
(* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))))

Outputs
(/ 1/4 (+ 3 alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) 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))))
(fma.f64 beta (fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 alpha #s(literal -4 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (neg.f64 beta) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) 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))))
(fma.f64 beta (fma.f64 beta (neg.f64 (fma.f64 beta (fma.f64 (.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 16 binary64) (.f64 alpha #s(literal -4 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 alpha #s(literal -4 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 #s(literal 3 binary64) alpha)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 alpha #s(literal 7 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 #s(literal 1/16 binary64) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 alpha #s(literal -4 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))))) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 #s(literal -6 binary64) (neg.f64 alpha)) (-.f64 #s(literal 16 binary64) (.f64 alpha #s(literal -4 binary64)))) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 alpha beta))) (*.f64 beta beta))
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(/ 1 (pow beta 2))
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(/ 1 (pow beta 2))
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(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
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(/ (- (+ (* -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)
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(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
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(/ 1 (pow beta 3))
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(/ (+ 1 (* -1 (/ (+ 7 alpha) beta))) (pow beta 3))
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(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 7 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (pow (+ 7 alpha) 2)) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 7 alpha) 2) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 7 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 3))
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(/ 1 (pow beta 3))
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(* -1 (/ (- (+ (* 7 (/ 1 beta)) (/ alpha beta)) 1) (pow beta 3)))
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(/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta)))
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(+ (* -1 (/ alpha (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))))
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(/ 1 (* alpha (pow (+ 2 beta) 2)))
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(/ (+ (* -1 (/ (+ (* 3 (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) alpha)) (/ 1 (pow (+ 2 beta) 2))) alpha)
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(/ 1 (* alpha (pow (+ 2 beta) 2)))
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3
#s(literal 3 binary64)
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
(+ 3 alpha)
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alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
3
#s(literal 3 binary64)
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* 4 (+ 3 alpha))
(fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64))
(+ (* 4 (+ 3 alpha)) (* beta (+ 4 (* 4 (+ 3 alpha)))))
(fma.f64 beta (-.f64 #s(literal 16 binary64) (*.f64 alpha #s(literal -4 binary64))) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)))
(+ (* 4 (+ 3 alpha)) (* beta (+ 4 (+ (* 4 (+ 3 alpha)) (* beta (+ 7 alpha))))))
(fma.f64 beta (fma.f64 beta (+.f64 alpha #s(literal 7 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 alpha #s(literal -4 binary64)))) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)))
(+ (* 4 (+ 3 alpha)) (* beta (+ 4 (+ (* 4 (+ 3 alpha)) (* beta (+ 7 (+ alpha beta)))))))
(fma.f64 beta (fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 7 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 alpha #s(literal -4 binary64)))) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ alpha beta))))
(.f64 (.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 7 binary64) beta))))
(* (pow beta 3) (+ 1 (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 7 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta))))))
(.f64 (.f64 beta (.f64 beta beta)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) (.f64 beta beta))) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))) (/.f64 #s(literal 7 binary64) beta))))
(* (pow beta 3) (+ 1 (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 3))) (+ (* 7 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))))
(.f64 (.f64 beta (.f64 beta beta)) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 beta beta)) (/.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 beta (.f64 beta beta)))) (+.f64 (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))) (/.f64 #s(literal 7 binary64) beta)) #s(literal 1 binary64))))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 alpha) beta)) 1)))
(.f64 (+.f64 (/.f64 (+.f64 (neg.f64 alpha) #s(literal -7 binary64)) beta) #s(literal -1 binary64)) (neg.f64 (.f64 beta (*.f64 beta beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ alpha (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)))) beta)) 1)))
(.f64 (+.f64 (/.f64 (-.f64 (+.f64 alpha #s(literal 7 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -4 binary64) #s(literal -4 binary64)) beta)) (neg.f64 beta)) #s(literal -1 binary64)) (neg.f64 (.f64 beta (*.f64 beta beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ alpha (* -1 (/ (- (+ (* -4 (+ 3 alpha)) (* -4 (/ (+ 3 alpha) beta))) 4) beta)))) beta)) 1)))
(neg.f64 (.f64 (.f64 beta (*.f64 beta beta)) (+.f64 (/.f64 (-.f64 (+.f64 alpha #s(literal 7 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -4 binary64)) beta)) (neg.f64 beta)) #s(literal -1 binary64))))
(* (pow (+ 2 beta) 2) (+ 3 beta))
(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))
(+ (* alpha (pow (+ 2 beta) 2)) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(+ (* alpha (pow (+ 2 beta) 2)) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(+ (* alpha (pow (+ 2 beta) 2)) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(* alpha (pow (+ 2 beta) 2))
(.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(* alpha (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha) (pow (+ 2 beta) 2)))
(.f64 alpha (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha))))
(* alpha (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha) (pow (+ 2 beta) 2)))
(.f64 alpha (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha))))
(* alpha (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha) (pow (+ 2 beta) 2)))
(.f64 alpha (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha))))
(* alpha (pow (+ 2 beta) 2))
(.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))))
(neg.f64 (.f64 alpha (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha))))))
(* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))))
(neg.f64 (.f64 alpha (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha))))))
(* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))))
(neg.f64 (.f64 alpha (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha))))))

eval320.0ms (2.3%)

Memory: -1.1MiB live, 610.1MiB allocated
Compiler: Compiled 56 476 to 4 785 computations (91.5% saved)

prune254.0ms (1.9%)

Memory

10.0MiB live, 549.1MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 927	6	1 933
Fresh	2	20	22
Picked	4	1	5
Done	0	1	1
Total	1 933	28	1 961

Accuracy

100.0%

Counts

1 961 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (fma.f64 (pow.f64 beta #s(literal -1/2 binary64)) (pow.f64 beta #s(literal -1/2 binary64)) (/.f64 alpha beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	47.9%	(/.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	47.4%	(/.f64 (fma.f64 (.f64 beta beta) #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)))
	86.2%	(/.f64 (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	48.6%	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) (-.f64 alpha #s(literal 1 binary64))) (.f64 beta beta))
	52.6%	(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
	60.5%	(/.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)))
▶	53.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
	53.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	53.9%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
	89.3%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
	57.1%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	51.0%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
	47.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
	49.9%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta alpha)))
✓	50.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
▶	92.2%	(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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)))))
▶	49.0%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
	30.5%	(/.f64 alpha (*.f64 beta beta))
	55.3%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
	53.3%	(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
	49.3%	(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
	49.0%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓	6.2%	(/.f64 #s(literal 1 binary64) beta)
▶	50.1%	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	48.0%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
	89.6%	(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
	43.5%	(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta))))

Compiler

Compiled 836 to 532 computations (36.4% saved)

simplify418.0ms (3%)

Memory

11.7MiB live, 402.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	320	(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	cost-diff	384	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
✓	cost-diff	0	(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	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	0	(+.f64 #s(literal 3 binary64) alpha)
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
✓	cost-diff	0	(+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))
✓	cost-diff	64	(+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))))
✓	cost-diff	320	(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
✓	cost-diff	384	(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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)))))

Rules

8 338×	`accelerator-lowering-fma.f32`
8 338×	`accelerator-lowering-fma.f64`
4 946×	`-lowering-.f32`
4 946×	`-lowering-.f64`
2 552×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	225
1	95	217
2	237	217
3	989	211
4	2913	211
5	4072	211
6	4518	211
7	4873	211
8	4915	211
9	4971	211
10	5296	211
11	5690	211
12	6519	211
13	7070	211
14	7179	211
15	7227	211
16	7300	211
17	7675	211
0	8715	209

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize175.0ms (1.3%)

Memory

-29.0MiB live, 159.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
✓	accuracy	99.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
✓	accuracy	100.0%	(+.f64 beta alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓	accuracy	99.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) alpha)
✓	accuracy	100.0%	(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	96.4%	(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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)))))
✓	accuracy	94.3%	(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))

Samples

112.0ms	255×	0	valid
14.0ms	1×	2	valid

Compiler

Compiled 234 to 39 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-add: 69.0ms (66.7% of total)

adjust: 14.0ms (13.5% of total)

ival-div: 12.0ms (11.6% of total)

ival-mult: 9.0ms (8.7% of total)

exact: 0.0ms (0% of total)

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

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

series23.0ms (0.2%)

Memory

1.3MiB live, 39.8MiB allocated

Counts

23 → 468

Calls

Call 1

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

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)))))>
#<alt (+ (* 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)))))>
#<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) (+ (* (+ 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))>
#<alt (/ (- (+ 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))>
#<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))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ 1 beta) (+ 3 beta))>
#<alt (+ (* alpha (- (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 3 beta) 3)) (/ beta (pow (+ 3 beta) 3))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 3 beta) 3)) (/ beta (pow (+ 3 beta) 3))) (+ (/ 1 (pow (+ 3 beta) 4)) (/ beta (pow (+ 3 beta) 4))))) (+ (/ 1 (pow (+ 3 beta) 3)) (/ beta (pow (+ 3 beta) 3)))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (+ 1 beta)>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 3 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (* -1 (/ (* (+ 3 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 3 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 3 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 3 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 3 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 3 beta)) alpha) (/ (* (+ 3 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 3 beta)))) (pow alpha 2))))>
#<alt (* -1 (- (* -1 beta) 1))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 3 beta) (- (* -1 (+ 1 beta)) (* (+ 3 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 3 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 3 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 3 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 3 beta) (- (* -1 (+ 1 beta)) (* (+ 3 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 3 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (/ (+ 1 alpha) (+ 3 alpha))>
#<alt (+ (* beta (- (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))) (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4))))) (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3)))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))>
#<alt (+ 1 alpha)>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 3 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 3 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 3 alpha)) beta) (/ (* (+ 3 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 2))))>
#<alt (* -1 (- (* -1 alpha) 1))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 3 alpha) (- (* -1 (+ 1 alpha)) (* (+ 3 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 3 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 3 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 3 alpha) (- (* -1 (+ 1 alpha)) (* (+ 3 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta)))>
#<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 (* -1 (* beta (- (* -1 alpha) 1)))>
#<alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))>
#<alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))>
#<alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))>
#<alt 1>
#<alt (+ 1 (* beta (+ 1 alpha)))>
#<alt (+ 1 (* beta (+ 1 alpha)))>
#<alt (+ 1 (* beta (+ 1 alpha)))>
#<alt (* beta (+ 1 alpha))>
#<alt (* beta (+ 1 (+ alpha (/ 1 beta))))>
#<alt (* beta (+ 1 (+ alpha (/ 1 beta))))>
#<alt (* beta (+ 1 (+ alpha (/ 1 beta))))>
#<alt (* -1 (* beta (- (* -1 alpha) 1)))>
#<alt (* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))>
#<alt (* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))>
#<alt (* -1 (* beta (- (* -1 alpha) (+ 1 (/ 1 beta)))))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* alpha beta)))>
#<alt (+ 1 (+ beta (* alpha beta)))>
#<alt (+ 1 (+ beta (* alpha beta)))>
#<alt (* alpha beta)>
#<alt (* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))>
#<alt (* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))>
#<alt (* alpha (+ beta (+ (/ 1 alpha) (/ beta alpha))))>
#<alt (* alpha beta)>
#<alt (* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha)))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* alpha (- (* 1/108 alpha) 1/36)))>
#<alt (+ 1/12 (* alpha (- (* alpha (+ 1/108 (* -1/324 alpha))) 1/36)))>
#<alt (/ 1/4 alpha)>
#<alt (/ (- 1/4 (* 3/4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1/4 (/ 9/4 (pow alpha 2))) (* 3/4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1/4 (/ 9/4 (pow alpha 2))) (+ (* 3/4 (/ 1 alpha)) (* 27/4 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1/4 alpha)>
#<alt (* -1 (/ (- (* 3/4 (/ 1 alpha)) 1/4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/4 (/ 1 alpha)) 3/4) alpha)) 1/4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 alpha)) 9/4) alpha)) 3/4) alpha)) 1/4) alpha))>
#<alt 3>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 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))>
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#<alt (/ 1/4 alpha)>
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#<alt (/ 1/4 beta)>
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#<alt (+ 2 beta)>
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#<alt (/ 1 beta)>
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#<alt (/ 1 beta)>
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#<alt (/ 1 beta)>
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#<alt (/ (+ 1 alpha) beta)>
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#<alt (+ 3 alpha)>
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#<alt 1>
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#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 3 beta) 4)) (/ beta (pow (+ 3 beta) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))) (+ 3 beta))))) (+ (/ 1 (pow (+ 3 beta) 2)) (/ beta (pow (+ 3 beta) 2))))) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))>
#<alt (/ (+ 1 beta) alpha)>
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#<alt 1>
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#<alt (pow (+ 2 beta) 2)>
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#<alt (pow alpha 2)>
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#<alt (pow (+ 2 alpha) 2)>
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#<alt (pow beta 2)>
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#<alt alpha>
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#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>

Calls

117 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	inf	(* (+ alpha (+ beta (+ (* alpha beta) 1))) (/ 1 (+ alpha (+ beta 3))))
1.0ms	alpha	@	0	(/ (* (+ 1 beta) (/ 1 (+ beta (+ alpha 3)))) (* beta beta))
1.0ms	alpha	@	0	(* (+ alpha (+ beta (+ (* alpha beta) 1))) (/ 1 (+ alpha (+ beta 3))))
1.0ms	beta	@	0	(* (+ alpha (+ beta (+ (* alpha beta) 1))) (/ 1 (+ alpha (+ beta 3))))
1.0ms	alpha	@	inf	(/ (* (+ 1 beta) (/ 1 (+ beta (+ alpha 3)))) (* beta beta))

rewrite506.0ms (3.7%)

Memory

-0.7MiB live, 629.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 902×	`/-lowering-/.f32`
5 902×	`/-lowering-/.f64`
2 792×	`-lowering-.f32`
2 792×	`-lowering-.f64`
2 286×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	157
1	342	157
2	3413	157
0	8916	153

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1 293

Calls

Call 1

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

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

simplify514.0ms (3.7%)

Memory

20.6MiB live, 964.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 810×	`accelerator-lowering-fma.f32`
6 810×	`accelerator-lowering-fma.f64`
6 448×	`-lowering-.f32`
6 448×	`-lowering-.f64`
6 078×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1159	8791
1	3930	8556
0	9395	8185

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

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

eval353.0ms (2.6%)

Memory: -7.1MiB live, 541.1MiB allocated
Compiler: Compiled 54 637 to 4 904 computations (91% saved)

prune331.0ms (2.4%)

Memory

-3.1MiB live, 619.2MiB allocated

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1 850	11	1 861
Fresh	2	19	21
Picked	5	0	5
Done	1	1	2
Total	1 858	31	1 889

Accuracy

100.0%

Counts

1 889 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	47.9%	(/.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	47.4%	(/.f64 (fma.f64 (.f64 beta beta) #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)))
	86.2%	(/.f64 (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	48.6%	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) #s(literal 1 binary64)) (-.f64 alpha #s(literal 1 binary64))) (.f64 beta beta))
	52.6%	(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
	60.5%	(/.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)))
	53.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	34.2%	(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
	53.9%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
	89.3%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
	57.1%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	51.0%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
	47.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
	44.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 beta beta)))
	49.9%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta alpha)))
✓	50.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	74.9%	(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.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)))))
	48.9%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 beta beta))
	48.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta)) (.f64 beta beta))
	30.5%	(/.f64 alpha (*.f64 beta beta))
	55.3%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
	53.3%	(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
	49.3%	(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
	49.0%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	50.1%	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
	49.7%	(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
	6.3%	(/.f64 #s(literal 1/4 binary64) beta)
	89.6%	(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
	43.5%	(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta))))
	47.5%	#s(literal 1/12 binary64)

Compiler

Compiled 1 349 to 474 computations (64.9% saved)

regimes54.0ms (0.4%)

Memory

-6.0MiB live, 149.9MiB allocated

Counts

59 → 2

Calls

Call 1

Inputs
#s(literal 1/12 binary64)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 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 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta alpha)))
(/.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 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 beta beta)))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 3 binary64) beta))
(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta))))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.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 #s(literal 3 binary64) beta)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta)) (.f64 beta beta))
(/.f64 (fma.f64 (.f64 beta beta) #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 (.f64 alpha alpha) #s(literal 1 binary64)) (-.f64 alpha #s(literal 1 binary64))) (.f64 beta beta))
(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 beta (+.f64 #s(literal 1 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 (+.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) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 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 beta (fma.f64 alpha 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 (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 beta (fma.f64 alpha beta #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 (+.f64 alpha (+.f64 beta (fma.f64 alpha 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 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))))))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta)
(/.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 #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) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #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 (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta)) #s(literal -1 binary64)))) (/.f64 (+.f64 alpha (-.f64 beta #s(literal 2 binary64))) (+.f64 alpha (-.f64 (fma.f64 alpha beta 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 #s(literal 1 binary64) beta) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 beta beta))
(/.f64 (fma.f64 (pow.f64 beta #s(literal -1/2 binary64)) (pow.f64 beta #s(literal -1/2 binary64)) (/.f64 alpha beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

Calls

3 calls:

19.0ms

beta

16.0ms

alpha

16.0ms

(/.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
99.9%	2	`alpha`
99.9%	2	`beta`
99.8%	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)

regimes19.0ms (0.1%)

Memory

9.8MiB live, 47.1MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

17.0ms

beta

Results

Accuracy	Segments	Branch
99.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes47.0ms (0.3%)

Memory

-16.7MiB live, 142.4MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #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 (/.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)))

Calls

3 calls:

16.0ms

beta

15.0ms

alpha

13.0ms

(/.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
99.4%	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)))`
99.4%	2	`alpha`
99.8%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes18.0ms (0.1%)

Memory

-8.4MiB live, 45.0MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

(/.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)))

Calls

1 calls:

16.0ms

beta

Results

Accuracy	Segments	Branch
99.7%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.2%)

Memory

2.2MiB live, 41.5MiB allocated

Counts

46 → 2

Calls

Call 1

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

Calls

1 calls:

30.0ms

beta

Results

Accuracy	Segments	Branch
99.7%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes67.0ms (0.5%)

Memory

27.2MiB live, 66.2MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

42.0ms

alpha

12.0ms

beta

11.0ms

(/.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
99.4%	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)))`
98.8%	2	`alpha`
99.4%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes51.0ms (0.4%)

Memory

-15.0MiB live, 22.1MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

49.0ms

beta

Results

Accuracy	Segments	Branch
99.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

-13.2MiB live, 27.5MiB 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))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 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 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta alpha)))
(/.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 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 beta beta)))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 3 binary64) beta))
(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta))))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.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 #s(literal 3 binary64) beta)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta)) (.f64 beta beta))
(/.f64 (fma.f64 (.f64 beta beta) #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 (.f64 alpha alpha) #s(literal 1 binary64)) (-.f64 alpha #s(literal 1 binary64))) (.f64 beta beta))
(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) beta))
(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 beta (+.f64 #s(literal 1 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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

1 calls:

14.0ms

beta

Results

Accuracy	Segments	Branch
99.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

10.0ms

beta

Results

Accuracy	Segments	Branch
99.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory

9.7MiB live, 49.1MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms

alpha

8.0ms

beta

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
97.8%	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)))`
67.3%	3	`alpha`
97.8%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes10.0ms (0.1%)

Memory

-17.9MiB live, 20.5MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

beta

Results

Accuracy	Segments	Branch
97.8%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
97.7%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-10.0MiB live, 25.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms

beta

5.0ms

(/.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
94.4%	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)))`
94.4%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes6.0ms (0%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
94.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-26.9MiB live, 16.3MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

beta

Results

Accuracy	Segments	Branch
94.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

12.6MiB live, 12.6MiB 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))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
93.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
93.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-20.7MiB live, 18.5MiB 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))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))

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

Calls

2 calls:

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)))

3.0ms

beta

Results

Accuracy	Segments	Branch
92.7%	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)))`
92.7%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes8.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

3.0ms

alpha

3.0ms

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
49.7%	1	`alpha`
49.7%	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)))`
49.7%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes8.0ms (0.1%)

Memory

-17.9MiB live, 21.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

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)))

2.0ms

alpha

2.0ms

beta

Results

Accuracy	Segments	Branch
49.6%	2	`beta`
48.0%	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)))`
48.0%	1	`alpha`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes5.0ms (0%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

3 calls:

2.0ms

alpha

2.0ms

beta

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
47.7%	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)))`
47.7%	1	`alpha`
47.7%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes8.0ms (0.1%)

Memory

-22.6MiB live, 13.1MiB 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:

5.0ms

(/.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)))

1.0ms

alpha

1.0ms

beta

Results

Accuracy	Segments	Branch
47.5%	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)))`
47.5%	1	`alpha`
47.5%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch19.0ms (0.1%)

Memory

-1.9MiB live, 40.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	348293.586232718	1658738910.2913113

Samples

9.0ms

128×

valid

Compiler

Compiled 752 to 387 computations (48.5% saved)

Precisions

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

ival-add: 3.0ms (45.8% of total)

ival-div: 2.0ms (30.5% of total)

ival-mult: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3573339162363425000.0	16637378839446487000.0

Samples

7.0ms

96×

valid

Compiler

Compiled 406 to 235 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (40.7% of total)

ival-add: 2.0ms (40.7% of total)

ival-mult: 1.0ms (20.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

-24.6MiB live, 13.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	4.75150410299478e+98	1.0023435235451068e+107

Samples

4.0ms

48×

valid

Compiler

Compiled 199 to 103 computations (48.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (39.9% of total)

ival-add: 1.0ms (39.9% of total)

ival-mult: 1.0ms (39.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	4.100447298395691e+44	3.7507841345805616e+48

Samples

1.0ms

16×

valid

Compiler

Compiled 93 to 46 computations (50.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

ival-add: 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)

bsearch18.0ms (0.1%)

Memory

-4.6MiB live, 33.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.100447298395691e+44	3.7507841345805616e+48

Samples

9.0ms

128×

valid

Compiler

Compiled 464 to 243 computations (47.6% saved)

Precisions

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

ival-add: 3.0ms (46.1% of total)

ival-div: 2.0ms (30.7% of total)

ival-mult: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

25.9MiB live, 25.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3573339162363425000.0	16637378839446487000.0

Samples

7.0ms

96×

valid

Compiler

Compiled 316 to 175 computations (44.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (40.8% of total)

ival-div: 1.0ms (20.4% of total)

ival-mult: 1.0ms (20.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

-12.7MiB live, 25.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3573339162363425000.0	16637378839446487000.0

Samples

10.0ms

96×

valid

Compiler

Compiled 256 to 163 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (40.7% of total)

ival-add: 2.0ms (40.7% of total)

ival-mult: 1.0ms (20.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Memory

-21.4MiB live, 24.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3573339162363425000.0	16637378839446487000.0

Samples

7.0ms

96×

valid

Compiler

Compiled 250 to 163 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (42.7% of total)

ival-div: 1.0ms (21.3% of total)

ival-mult: 1.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	118587997868873.3	3573339162363425000.0

Samples

6.0ms

80×

valid

Compiler

Compiled 200 to 129 computations (35.5% saved)

Precisions

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

ival-add: 2.0ms (48.8% of total)

ival-div: 1.0ms (24.4% of total)

ival-mult: 1.0ms (24.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Memory

9.6MiB live, 46.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.5141982839344073	348293.586232718

Samples

13.0ms

144×

valid

Compiler

Compiled 256 to 181 computations (29.3% saved)

Precisions

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

ival-div: 5.0ms (50.4% of total)

ival-add: 3.0ms (30.3% of total)

ival-mult: 2.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.1%)

Memory

5.8MiB live, 44.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.5141982839344073	348293.586232718

Samples

12.0ms

144×

valid

Compiler

Compiled 238 to 172 computations (27.7% saved)

Precisions

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

ival-add: 3.0ms (41.5% of total)

ival-div: 2.0ms (27.7% of total)

ival-mult: 2.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Memory

-2.0MiB live, 35.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.5141982839344073	348293.586232718

Samples

13.0ms

144×

valid

Compiler

Compiled 220 to 154 computations (30% saved)

Precisions

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

ival-add: 3.0ms (41.9% of total)

ival-div: 2.0ms (28% of total)

ival-mult: 2.0ms (28% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Memory

-5.9MiB live, 35.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.5141982839344073	348293.586232718

Samples

15.0ms

144×

valid

Compiler

Compiled 256 to 181 computations (29.3% saved)

Precisions

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

ival-mult: 6.0ms (52.1% of total)

ival-add: 3.0ms (26.1% of total)

ival-div: 2.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Memory

-1.8MiB live, 35.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.5141982839344073	348293.586232718

Samples

13.0ms

144×

valid

Compiler

Compiled 238 to 163 computations (31.5% saved)

Precisions

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

ival-mult: 4.0ms (39.9% of total)

ival-add: 3.0ms (29.9% of total)

ival-div: 2.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Memory

3.0MiB live, 40.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.5141982839344073	348293.586232718

Samples

10.0ms

144×

valid

Compiler

Compiled 220 to 154 computations (30% saved)

Precisions

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

ival-add: 3.0ms (42% of total)

ival-div: 2.0ms (28% of total)

ival-mult: 2.0ms (28% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.1%)

Memory

6.6MiB live, 44.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.5141982839344073	348293.586232718

Samples

13.0ms

144×

valid

Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions

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

ival-mult: 4.0ms (42.7% of total)

ival-add: 3.0ms (32% of total)

ival-div: 2.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Memory

-2.9MiB live, 37.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.5141982839344073	348293.586232718

Samples

19.0ms

144×

valid

Compiler

Compiled 202 to 145 computations (28.2% saved)

Precisions

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

ival-add: 3.0ms (41.9% of total)

ival-div: 2.0ms (27.9% of total)

ival-mult: 2.0ms (27.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Memory

1.9MiB live, 38.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.5141982839344073	348293.586232718

Samples

13.0ms

144×

valid

Compiler

Compiled 184 to 136 computations (26.1% saved)

Precisions

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

ival-add: 6.0ms (58.7% of total)

ival-div: 2.0ms (19.6% of total)

ival-mult: 2.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Memory

21.9MiB live, 57.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.5141982839344073	348293.586232718

Samples

14.0ms

144×

valid

Compiler

Compiled 157 to 118 computations (24.8% saved)

Precisions

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

ival-add: 3.0ms (42% of total)

ival-div: 2.0ms (28% of total)

ival-mult: 2.0ms (28% of total)

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.2%)

Memory

-30.4MiB live, 49.6MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`+-commutative_binary64`
32×	`*-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	611
1	189	611
2	198	611
3	207	611
4	209	611

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 330000000 binary64)) (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta)) #s(literal -1 binary64)))) (/.f64 (+.f64 alpha (-.f64 beta #s(literal 2 binary64))) (+.f64 alpha (-.f64 (fma.f64 alpha beta 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 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 16500000000000000000 binary64)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #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 (/.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))))
(if (<=.f64 beta #s(literal 499999999999999964878644512267775609965379584 binary64)) (/.f64 (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (/.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))))
(if (<=.f64 beta #s(literal 1650000000000000112910460231679066483040681197568 binary64)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha 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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 8000000000000000000 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 10200000000000000000 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 7400000000000000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 20000000000000000 binary64)) (/.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 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 2476979795053773/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 3 binary64) beta)))
(if (<=.f64 beta #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 2476979795053773/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(if (<=.f64 beta #s(literal 3715469692580659/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 2476979795053773/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(if (<=.f64 beta #s(literal 3039929748475085/1125899906842624 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 330000000 binary64)) (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta)) #s(literal -1 binary64)))) (/.f64 (+.f64 alpha (-.f64 beta #s(literal 2 binary64))) (+.f64 alpha (-.f64 (fma.f64 alpha beta 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 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 330000000 binary64)) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 alpha (fma.f64 alpha beta beta)) (+.f64 alpha (fma.f64 alpha beta beta)) #s(literal -1 binary64)))) (/.f64 (+.f64 alpha (-.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 (fma.f64 alpha beta beta) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 16500000000000000000 binary64)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #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 (/.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))))
(if (<=.f64 beta #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #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 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 499999999999999964878644512267775609965379584 binary64)) (/.f64 (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (/.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))))
(if (<=.f64 beta #s(literal 499999999999999964878644512267775609965379584 binary64)) (/.f64 (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 1650000000000000112910460231679066483040681197568 binary64)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha 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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 1650000000000000112910460231679066483040681197568 binary64)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.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)))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 8000000000000000000 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 8000000000000000000 binary64)) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 10200000000000000000 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 10200000000000000000 binary64)) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 7400000000000000000 binary64)) (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 7400000000000000000 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 20000000000000000 binary64)) (/.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 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 20000000000000000 binary64)) (/.f64 (+.f64 beta #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 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 2476979795053773/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 2476979795053773/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 3 binary64) beta)))
(if (<=.f64 beta #s(literal 4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 2476979795053773/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(if (<=.f64 beta #s(literal 2476979795053773/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(if (<=.f64 beta #s(literal 3715469692580659/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 3715469692580659/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 2476979795053773/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 2476979795053773/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(if (<=.f64 beta #s(literal 3039929748475085/1125899906842624 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)

soundness1.5s (11.3%)

Memory

-17.3MiB live, 1 081.2MiB allocated

Rules

7 292×	`accelerator-lowering-fma.f32`
7 292×	`accelerator-lowering-fma.f64`
7 140×	`+-lowering-+.f64`
7 140×	`+-lowering-+.f32`
6 810×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1307	10547
1	4427	10110
0	8217	9734
0	1159	8791
1	3930	8556
0	9395	8185
0	43	233
1	366	223
2	4499	223
0	8126	212
0	676	5446
1	2405	5222
0	8136	4956
0	14	69
1	111	61
2	1149	61
0	8157	58
0	37	157
1	342	157
2	3413	157
0	8916	153
0	787	6029
1	2581	5721
0	8263	5549

Stop Event

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

Compiler

Compiled 1 797 to 905 computations (49.6% saved)

preprocess223.0ms (1.6%)

Memory: 33.2MiB live, 148.5MiB allocated
Compiler: Compiled 1 474 to 388 computations (73.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.7s (12.7%)

preprocess822.0ms (6%)

explain198.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify850.0ms (6.2%)

localize45.0ms (0.3%)

series32.0ms (0.2%)

rewrite368.0ms (2.7%)

simplify437.0ms (3.2%)

eval308.0ms (2.2%)

prune64.0ms (0.5%)

simplify380.0ms (2.8%)

localize161.0ms (1.2%)

series50.0ms (0.4%)

rewrite390.0ms (2.8%)

simplify448.0ms (3.3%)

eval313.0ms (2.3%)

prune243.0ms (1.8%)

simplify411.0ms (3%)

localize122.0ms (0.9%)

series25.0ms (0.2%)

rewrite451.0ms (3.3%)

simplify413.0ms (3%)

eval320.0ms (2.3%)

prune254.0ms (1.9%)

simplify418.0ms (3%)

localize175.0ms (1.3%)

series23.0ms (0.2%)

rewrite506.0ms (3.7%)

simplify514.0ms (3.7%)

eval353.0ms (2.6%)

prune331.0ms (2.4%)

regimes54.0ms (0.4%)

regimes19.0ms (0.1%)

regimes47.0ms (0.3%)

regimes18.0ms (0.1%)

regimes32.0ms (0.2%)

regimes67.0ms (0.5%)

regimes51.0ms (0.4%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes25.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes14.0ms (0.1%)

regimes6.0ms (0%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

bsearch19.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch2.0ms (0%)

bsearch18.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch20.0ms (0.1%)

bsearch19.0ms (0.1%)

bsearch20.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch20.0ms (0.1%)

bsearch20.0ms (0.1%)

bsearch19.0ms (0.1%)

bsearch25.0ms (0.2%)

bsearch20.0ms (0.1%)

bsearch21.0ms (0.2%)

simplify25.0ms (0.2%)

soundness1.5s (11.3%)

preprocess223.0ms (1.6%)

end0.0ms (0%)

Profiling