Metrics for Octave 3.8, jcobi/3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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 (15.6%)

Memory

-115.8MiB live, 1 327.6MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 933.0ms

ival-add: 555.0ms (59.5% of total)

ival-div: 170.0ms (18.2% of total)

ival-mult: 102.0ms (10.9% of total)

ival->: 78.0ms (8.4% of total)

exact: 14.0ms (1.5% of total)

ival-and: 11.0ms (1.2% of total)

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

Bogosity

preprocess661.0ms (6%)

Memory

49.0MiB live, 575.6MiB allocated

Algorithm

1×	egg-herbie

Rules

26 544×	`lower-fma.f64`
26 544×	`lower-fma.f32`
11 564×	`lower-+.f32`
11 554×	`lower-+.f64`
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	29
0	26	27
1	47	27
2	124	27
3	604	25
4	4042	25
5	4703	25
6	4866	25
7	4985	25
8	5043	25
9	5043	25
10	5406	25
11	5568	25
12	5713	25
13	5713	25
14	5713	25
15	5821	25
16	5855	25
17	5856	25
18	5856	25
19	6004	25
20	6018	25
21	6032	25
22	6032	25
0	12880	25

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

Symmetry

(sort alpha beta)

explain308.0ms (2.8%)

Memory

-27.5MiB live, 462.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
14	-	-	`(/.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	14	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))`	overflow	14
↳	`(*.f64 beta alpha)`	overflow	14
↳	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))`	overflow	14

Confusion

	Predicted +	Predicted -
+	14	0
-	0	242

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	0
-	0	0	242

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 322 to 60 computations (81.4% saved)

Precisions

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

ival-add: 16.0ms (46.3% of total)

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

ival-div: 8.0ms (23.1% of total)

exact: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(/.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

▶

94.4%

(/.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)

simplify573.0ms (5.2%)

Memory

13.8MiB live, 859.2MiB 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×	`lower-fma.f64`
26 544×	`lower-fma.f32`
11 564×	`lower-+.f32`
11 554×	`lower-+.f64`
10 674×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	104
0	26	100
1	47	100
2	124	100
3	604	92
4	4042	92
5	4703	92
6	4866	92
7	4985	92
8	5043	92
9	5043	92
10	5406	92
11	5568	92
12	5713	92
13	5713	92
14	5713	92
15	5821	92
16	5855	92
17	5856	92
18	5856	92
19	6004	92
20	6018	92
21	6032	92
22	6032	92
0	12880	91

Stop Event

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

Calls

Call 1

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

localize107.0ms (1%)

Memory

-45.2MiB live, 146.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.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	94.8%	(/.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

88.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 28.0ms (73.8% of total)

ival-add: 6.0ms (15.8% of total)

ival-div: 4.0ms (10.5% 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)

series47.0ms (0.4%)

Memory

-2.5MiB live, 38.7MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (/.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)))>
#<alt (/.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))))>
#<alt (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))>
#<alt (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (/.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))))>
#<alt (+.f64 (+.f64 alpha beta) (*.f64 beta alpha))>

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

Calls

30 calls:

Time	Variable		Point	Expression
21.0ms	beta	@	0	(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 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	beta	@	-inf	(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))

simplify259.0ms (2.3%)

Memory

40.1MiB live, 459.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 252×	`lower-+.f64`
7 252×	`lower-+.f32`
6 896×	`lower-fma.f64`
6 896×	`lower-fma.f32`
5 092×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

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

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

rewrite313.0ms (2.8%)

Memory

-21.0MiB live, 384.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 826×	`lower-*.f32`
4 824×	`lower-*.f64`
4 700×	`lower-/.f32`
4 694×	`lower-/.f64`
3 294×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
0	26	76
1	123	68
2	1161	68
0	8168	64

Stop Event

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

Counts

6 → 353

Calls

Call 1

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

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

eval125.0ms (1.1%)

Memory: 0.2MiB live, 117.1MiB allocated
Compiler: Compiled 23 510 to 1 968 computations (91.6% saved)

prune107.0ms (1%)

Memory

-8.0MiB live, 158.7MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	454	15	469
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	455	15	470

Accuracy

100.0%

Counts

470 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.9%	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	93.8%	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
▶	93.6%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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)))
	52.7%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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)))
	54.5%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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)))
▶	93.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)))))
	53.2%	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
	93.9%	(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
▶	94.3%	(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
	59.1%	(.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
	86.0%	(.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))
▶	86.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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)))))
	5.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
	50.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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))))
▶	51.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))

Compiler

Compiled 926 to 414 computations (55.3% saved)

simplify312.0ms (2.8%)

Memory

49.6MiB live, 419.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	cost-diff	0	(.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))))
✓	cost-diff	64	(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)))))
✓	cost-diff	0	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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)))
✓	cost-diff	128	(*.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	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.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))))
✓	cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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)))))
✓	cost-diff	128	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 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	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
✓	cost-diff	0	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	cost-diff	64	(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	cost-diff	704	(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))

Rules

17 582×	`lower-fma.f32`
17 580×	`lower-fma.f64`
6 716×	`lower-+.f32`
6 698×	`lower-+.f64`
3 452×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	480
0	77	468
1	155	464
2	418	464
3	2194	452
4	3247	452
5	4306	452
6	4702	452
7	5100	452
8	5536	452
0	8379	444

Stop Event

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

Calls

Call 1

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

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

localize223.0ms (2%)

Memory

-29.5MiB live, 305.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)))))
✓	accuracy	97.8%	(.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))))
✓	accuracy	94.7%	(/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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	89.2%	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
✓	accuracy	74.1%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓	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 #s(literal 3 binary64)))
✓	accuracy	93.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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)))))
✓	accuracy	90.4%	(/.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))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	97.4%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	accuracy	54.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
✓	accuracy	94.8%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

Samples

84.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 472 to 40 computations (91.5% saved)

Precisions

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

ival-div: 16.0ms (37.1% of total)

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

ival-mult: 12.0ms (27.9% 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)

series71.0ms (0.6%)

Memory

-6.0MiB live, 75.8MiB allocated

Counts

23 → 444

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))>
#<alt (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))>
#<alt (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))>
#<alt (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))>
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))>
#<alt (+.f64 #s(literal 1 binary64) alpha)>
#<alt (*.f64 beta beta)>
#<alt (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))>
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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)))))>
#<alt (/.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))))>
#<alt (+.f64 #s(literal 1 binary64) beta)>
#<alt (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))>
#<alt (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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)))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)))))>
#<alt (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))))>
#<alt (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))>
#<alt (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))>
#<alt #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)))>

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) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta)))) (/ (* (+ 1 beta) (+ 5 (* 2 beta))) (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta)))) (/ (* (+ 1 beta) (+ 5 (* 2 beta))) (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (* (+ 2 beta) (+ 3 beta))))))) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta))))) (/ (* (+ 1 beta) (+ 5 (* 2 beta))) (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 5 (* 2 beta))) (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3))) (+ (* -1 (/ (* (+ 5 (* 2 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta)))) (/ (* (+ 1 beta) (+ 5 (* 2 beta))) (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (* (+ 2 beta) (+ 3 beta)))))) (* (+ 2 beta) (+ 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) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta)))) (/ (* (+ 1 beta) (+ 5 (* 2 beta))) (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (* (+ 2 beta) (+ 3 beta))))))) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta))))) (/ (* (+ 1 beta) (+ 5 (* 2 beta))) (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 5 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (* (+ 2 beta) (+ 3 beta))) (* (+ 5 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 5 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 5 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 5 (* 2 beta)) (+ (* (+ 1 beta) (* (+ 2 beta) (+ 3 beta))) (* (+ 5 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 5 (* 2 beta)))))))) (* (+ 2 beta) (* (+ 3 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 5 (* 2 beta))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (* (+ 2 beta) (+ 3 beta))) (pow alpha 2)) (+ (/ (* (+ 1 beta) (+ 5 (* 2 beta))) alpha) (/ (* (+ 5 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 5 (* 2 beta))))) (pow alpha 2))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (* -1 beta) 1))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (/ (* (+ 2 beta) (* (+ 3 beta) (- (* -1 beta) 1))) alpha) (/ (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (+ 1 beta) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (* -1 beta) 1)))) alpha)))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (* -1 beta) 1))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (+ (* (+ 2 beta) (* (+ 3 beta) (- (* -1 beta) 1))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (+ 1 beta) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (* -1 beta) 1)))))) alpha)) (/ (* (+ 2 beta) (* (+ 3 beta) (- (+ 1 beta) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (* -1 beta) 1))))) alpha)) (+ (* (+ 2 beta) (* (+ 3 beta) (- (* -1 beta) 1))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (+ 1 beta) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (* -1 beta) 1)))))) alpha)))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- (* -1 beta) 1))) alpha))) 1) alpha))>
#<alt (/ (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))>
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#<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 (/ 1 (+ 2 beta))>
#<alt (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))>
#<alt (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))>
#<alt (/ 1 alpha)>
#<alt (/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)>
#<alt (/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha))>
#<alt (/ 1 (+ 2 alpha))>
#<alt (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (/ 1 beta)>
#<alt (/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)>
#<alt (/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))>
#<alt 12>
#<alt (+ 12 (* 16 beta))>
#<alt (+ 12 (* beta (+ 16 (* 7 beta))))>
#<alt (+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))>
#<alt 1/4>
#<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 beta) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (/ (+ 1 alpha) (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))))>
#<alt (+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)>
#<alt (* -1 (/ (- (* -1 alpha) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (/ (+ 2 beta) (+ 1 beta))>
#<alt (+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (/ beta (+ 1 beta)))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))>
#<alt (/ 1 (+ 1 beta))>
#<alt (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta)))))>
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 beta)) (/ beta (+ 1 beta))) (pow alpha 2))) (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta))))))>
#<alt (- (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (* (pow alpha 3) (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (+ (/ beta (* alpha (+ 1 beta))) (/ beta (* (pow alpha 3) (+ 1 beta))))))) (+ (/ 1 (* (pow alpha 2) (+ 1 beta))) (/ beta (* (pow alpha 2) (+ 1 beta)))))>
#<alt (/ -1 (- (* -1 beta) 1))>
#<alt (- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))>
#<alt (- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (+ (/ beta (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 beta) 2) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (pow (- (* -1 beta) 1) 2)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))>
#<alt (/ (+ 2 alpha) (+ 1 alpha))>
#<alt (+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))>
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#<alt (+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (/ alpha (+ 1 alpha)))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))>
#<alt (/ 1 (+ 1 alpha))>
#<alt (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha)))))>
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 alpha)) (/ alpha (+ 1 alpha))) (pow beta 2))) (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha))))))>
#<alt (- (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (* (pow beta 3) (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (+ (/ alpha (* beta (+ 1 alpha))) (/ alpha (* (pow beta 3) (+ 1 alpha))))))) (+ (/ 1 (* (pow beta 2) (+ 1 alpha))) (/ alpha (* (pow beta 2) (+ 1 alpha)))))>
#<alt (/ -1 (- (* -1 alpha) 1))>
#<alt (- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1)))>
#<alt (- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (+ (/ alpha (- (* -1 alpha) 1)) (/ (* (+ 1 alpha) (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (* beta (- (* -1 alpha) 1))))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1)))>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 alpha) 2) (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (* beta (pow (- (* -1 alpha) 1) 2)))) (/ (* (+ 1 alpha) (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (- (* -1 alpha) 1))) beta)) (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1)))>

Calls

111 calls:

Time	Variable		Point	Expression
21.0ms	alpha	@	-inf	(* (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) 2) (+ (+ (* alpha beta) (+ alpha beta)) 1)))
3.0ms	beta	@	inf	(/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3)))
3.0ms	beta	@	inf	(/ 1 (+ (+ alpha beta) 2))
1.0ms	alpha	@	0	(/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3)))
1.0ms	beta	@	0	(/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3)))

simplify359.0ms (3.3%)

Memory

45.1MiB live, 573.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 890×	`lower-fma.f64`
4 890×	`lower-fma.f32`
4 784×	`lower-+.f64`
4 784×	`lower-+.f32`
4 548×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1625	23103
1	5587	22662
0	8064	21634

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 436

Calls

Call 1

Inputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
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(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 7 (/ 1 (+ 1 beta))) (+ (/ beta (+ 1 beta)) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 7 (/ 1 (+ 1 beta))) (+ (* alpha (- (+ (/ 1 (+ 1 beta)) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (+ (* 2 (/ beta (+ 1 beta))) (+ (* 7 (/ 1 (+ 1 beta))) (+ (/ beta (+ 1 beta)) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta))))))) (+ (/ beta (+ 1 beta)) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))
(/ (pow alpha 2) (+ 1 beta))
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 6 (* alpha (+ 1 beta))) (/ beta (* alpha (+ 1 beta)))))))
(* (pow alpha 2) (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 6 (* alpha (+ 1 beta))) (+ (/ beta (* alpha (+ 1 beta))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (* (pow alpha 2) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (+ (* 6 (/ 1 (* (pow alpha 2) (+ 1 beta)))) (/ beta (* (pow alpha 2) (+ 1 beta)))))))
(* (pow alpha 2) (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (* 2 (/ beta (* (pow alpha 3) (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 6 (* alpha (+ 1 beta))) (+ (/ 6 (* (pow alpha 3) (+ 1 beta))) (+ (/ beta (* alpha (+ 1 beta))) (+ (/ beta (* (pow alpha 3) (+ 1 beta))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (* (pow alpha 2) (+ 1 beta))) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (* (pow alpha 3) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))))))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (+ (* 6 (/ 1 (* (pow alpha 2) (+ 1 beta)))) (+ (/ beta (* (pow alpha 2) (+ 1 beta))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (* (pow alpha 3) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 3) (+ 1 beta)))))))))
(* -1 (/ (pow alpha 2) (- (* -1 beta) 1)))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (+ (* -1 (/ (- (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1)))) (- (* -1 beta) 1))) alpha)) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1))))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))
(+ (* beta (- (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 7 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 7 (/ 1 (+ 1 alpha))) (+ (* beta (- (+ (/ 1 (+ 1 alpha)) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 7 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))))))) (+ (/ alpha (+ 1 alpha)) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))
(/ (pow beta 2) (+ 1 alpha))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 6 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha)))))))
(* (pow beta 2) (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 6 (* beta (+ 1 alpha))) (+ (/ alpha (* beta (+ 1 alpha))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (* (pow beta 2) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (+ (* 6 (/ 1 (* (pow beta 2) (+ 1 alpha)))) (/ alpha (* (pow beta 2) (+ 1 alpha)))))))
(* (pow beta 2) (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (* 2 (/ alpha (* (pow beta 3) (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 6 (* beta (+ 1 alpha))) (+ (/ 6 (* (pow beta 3) (+ 1 alpha))) (+ (/ alpha (* beta (+ 1 alpha))) (+ (/ alpha (* (pow beta 3) (+ 1 alpha))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (* (pow beta 2) (+ 1 alpha))) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (* (pow beta 3) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))))))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (+ (* 6 (/ 1 (* (pow beta 2) (+ 1 alpha)))) (+ (/ alpha (* (pow beta 2) (+ 1 alpha))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (* (pow beta 3) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 3) (+ 1 alpha)))))))))
(* -1 (/ (pow beta 2) (- (* -1 alpha) 1)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (+ 3 alpha)) (- (* -1 alpha) 1))) (* -1 (/ (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) (/ (* (+ 1 alpha) (- (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (- (* -1 alpha) 1))) beta)) (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (+ 3 alpha)) (- (* -1 alpha) 1))) (+ (* -1 (/ (- (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (- (* -1 alpha) 1)) (/ (* (+ 1 alpha) (- (+ (* -2 (/ (* (+ 2 alpha) (+ 3 alpha)) (- (* -1 alpha) 1))) (* -1 (/ (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) (/ (* (+ 1 alpha) (- (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (- (* -1 alpha) 1)))) (- (* -1 alpha) 1))) beta)) (* -1 (/ (pow (+ 2 alpha) 2) (- (* -1 alpha) 1))))) (/ (* (+ 1 alpha) (- (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (- (* -1 alpha) 1))) beta)) (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1))))
(* (+ 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))))
(/ 1 (+ 2 beta))
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)
(/ 1 alpha)
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha))
(/ 1 (+ 2 alpha))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(/ 1 beta)
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)
(/ 1 beta)
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))
12
(+ 12 (* 16 beta))
(+ 12 (* beta (+ 16 (* 7 beta))))
(+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))
1/4
(+ 1/4 (* -1/16 (pow beta 2)))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(/ 1 beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
(/ (+ 1 beta) (pow (+ 2 beta) 2))
(+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
(+ (* 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))))
(+ (* 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))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 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)
(/ (- (+ 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)
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -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))
(* -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))
(/ (+ 2 beta) (+ 1 beta))
(+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (/ beta (+ 1 beta)))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))
(/ 1 (+ 1 beta))
(+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 beta)) (/ beta (+ 1 beta))) (pow alpha 2))) (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta))))))
(- (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (* (pow alpha 3) (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (+ (/ beta (* alpha (+ 1 beta))) (/ beta (* (pow alpha 3) (+ 1 beta))))))) (+ (/ 1 (* (pow alpha 2) (+ 1 beta))) (/ beta (* (pow alpha 2) (+ 1 beta)))))
(/ -1 (- (* -1 beta) 1))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (+ (/ beta (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 beta) 2) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (pow (- (* -1 beta) 1) 2)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))
(/ (+ 2 alpha) (+ 1 alpha))
(+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (/ alpha (+ 1 alpha)))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))
(/ 1 (+ 1 alpha))
(+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 alpha)) (/ alpha (+ 1 alpha))) (pow beta 2))) (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha))))))
(- (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (* (pow beta 3) (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (+ (/ alpha (* beta (+ 1 alpha))) (/ alpha (* (pow beta 3) (+ 1 alpha))))))) (+ (/ 1 (* (pow beta 2) (+ 1 alpha))) (/ alpha (* (pow beta 2) (+ 1 alpha)))))
(/ -1 (- (* -1 alpha) 1))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1)))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (+ (/ alpha (- (* -1 alpha) 1)) (/ (* (+ 1 alpha) (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (* beta (- (* -1 alpha) 1))))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1)))
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 alpha) 2) (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (* beta (pow (- (* -1 alpha) 1) 2)))) (/ (* (+ 1 alpha) (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (- (* -1 alpha) 1))) beta)) (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1)))

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

rewrite314.0ms (2.9%)

Memory

3.9MiB live, 432.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 656×	`lower-*.f32`
5 644×	`lower-*.f64`
4 026×	`lower-/.f32`
4 008×	`lower-/.f64`
2 482×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	380
0	77	350
1	367	322
2	3096	322
0	8433	322

Stop Event

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

Counts

23 → 725

Calls

Call 1

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

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

eval500.0ms (4.5%)

Memory: -1.1MiB live, 404.8MiB allocated
Compiler: Compiled 54 604 to 3 874 computations (92.9% saved)

prune254.0ms (2.3%)

Memory

-34.1MiB live, 342.5MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	1 276	22	1 298
Fresh	6	4	10
Picked	4	1	5
Done	0	0	0
Total	1 286	27	1 313

Accuracy

100.0%

Counts

1 313 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
	52.7%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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)))
	49.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	74.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (+ (+ alpha beta) 2) (+ (+ (* alpha beta) (+ alpha beta)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
	53.2%	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
▶	93.7%	(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	59.1%	(.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
	54.3%	#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))
	50.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (.f64 beta beta)))
	86.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	42.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
	86.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
▶	46.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
	41.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
	50.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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))))
✓	51.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
	48.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
	54.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
	54.2%	#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) (/.f64 #s(literal 1 binary64) beta)))
	46.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	45.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	45.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
▶	47.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))))
▶	46.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
	30.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
	51.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))))
	51.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))

Compiler

Compiled 1 030 to 514 computations (50.1% saved)

simplify214.0ms (1.9%)

Memory

47.4MiB live, 306.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
✓	cost-diff	0	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
✓	cost-diff	0	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta)))
✓	cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))))
✓	cost-diff	0	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))))
✓	cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
✓	cost-diff	0	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
✓	cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
✓	cost-diff	64	(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	cost-diff	704	(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	12224	(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Rules

12 104×	`lower-fma.f32`
12 100×	`lower-fma.f64`
4 094×	`lower-*.f32`
4 088×	`lower-*.f64`
3 314×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	509
0	84	494
1	154	490
2	359	490
3	1264	481
4	6291	479
5	7793	479
0	8226	479

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
(fma.f64 alpha beta (+.f64 alpha beta))
alpha
beta
(+.f64 alpha beta)
#s(literal 1 binary64)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
(+.f64 beta #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+.f64 beta #s(literal 2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))))
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
#s(literal 16 binary64)
#s(literal 12 binary64)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))))
#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal 6 binary64) beta)
#s(literal 6 binary64)
beta
(*.f64 beta beta)
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64)))
(+.f64 beta #s(literal 3 binary64))
#s(literal 3 binary64)

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

localize196.0ms (1.8%)

Memory

3.0MiB live, 273.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	98.8%	#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	89.2%	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
✓	accuracy	74.1%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
✓	accuracy	93.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))))
✓	accuracy	53.5%	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	93.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
✓	accuracy	90.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))))
✓	accuracy	49.2%	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
✓	accuracy	93.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
✓	accuracy	47.5%	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	99.7%	(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	98.9%	(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	94.8%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

Samples

85.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 428 to 46 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 18.0ms (30.4% of total)

ival-div: 14.0ms (23.7% of total)

ival-mult: 11.0ms (18.6% of total)

ival-pow: 6.0ms (10.1% of total)

const: 4.0ms (6.8% of total)

ival-pow2: 3.0ms (5.1% of total)

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

exact: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

series48.0ms (0.4%)

Memory

3.1MiB live, 41.2MiB allocated

Counts

19 → 360

Calls

Call 1

Inputs
#<alt (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))>
#<alt (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))>
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))>
#<alt #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))>
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) beta)>
#<alt #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))>
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))))>
#<alt #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta))>
#<alt (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))>
#<alt #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))>
#<alt #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64)))>

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

Calls

90 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	0	(/ (- 1 (/ 6 beta)) (* beta beta))
0.0ms	beta	@	inf	(/ (- 1 (/ 6 beta)) (* beta beta))
0.0ms	beta	@	-inf	(/ (- 1 (/ 6 beta)) (* beta beta))
0.0ms	alpha	@	0	(* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (pow (pow (+ alpha (+ beta 2)) -1/2) 2))
0.0ms	beta	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))

simplify468.0ms (4.2%)

Memory

1.9MiB live, 651.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 986×	`lower-+.f64`
6 986×	`lower-+.f32`
6 458×	`lower-fma.f64`
6 458×	`lower-fma.f32`
3 832×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1173	19479
1	4067	18590
0	8529	17675

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 354

Calls

Call 1

Inputs
(/ 1 (+ 2 beta))
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)
(/ 1 alpha)
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha))
(/ 1 (+ 2 alpha))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(/ 1 beta)
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)
(/ 1 beta)
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
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(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
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(+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 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)
(/ (- (+ 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)
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -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))
(* -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))
1/4
(+ 1/4 (* -1/16 (pow beta 2)))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(/ 1 beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
(/ (+ 1 beta) (+ 2 beta))
(+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(+ (* 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))))
(+ (* 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))))
(+ 1 beta)
(- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 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))))
(* -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)))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))

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

rewrite311.0ms (2.8%)

Memory

-36.4MiB live, 444.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 168×	`lower-/.f32`
5 154×	`lower-/.f64`
2 726×	`lower-*.f32`
2 720×	`lower-*.f64`
2 038×	`lower-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	428
0	83	389
1	405	363
2	3270	363
0	8272	363

Stop Event

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

Counts

19 → 502

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))))
(+.f64 #s(literal 1 binary64) beta)
#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))))
#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64)))

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

eval161.0ms (1.5%)

Memory: 11.4MiB live, 289.3MiB allocated
Compiler: Compiled 38 235 to 2 659 computations (93% saved)

prune213.0ms (1.9%)

Memory

15.7MiB live, 256.3MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	885	5	890
Fresh	3	18	21
Picked	4	1	5
Done	0	1	1
Total	892	25	917

Accuracy

100.0%

Counts

917 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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)))
	49.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	48.5%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
	74.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (+ (+ alpha beta) 2) (+ (+ (* alpha beta) (+ alpha beta)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
	53.2%	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
	59.1%	(.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
	54.3%	(.f64 #s(approx (/ (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	54.3%	#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))
	50.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (.f64 beta beta)))
▶	86.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
▶	86.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	50.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64)))))
✓	51.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
▶	47.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
	48.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
	54.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
	54.2%	#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) (/.f64 #s(literal 1 binary64) beta)))
	46.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	45.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
▶	45.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
	41.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(approx (/ (- 1 (/ 6 beta)) (* beta beta)) (/.f64 (+.f64 beta #s(literal -6 binary64)) (.f64 beta (.f64 beta beta))))))
✓	46.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
	30.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
	51.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))))
▶	51.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))

Compiler

Compiled 923 to 451 computations (51.1% saved)

simplify250.0ms (2.3%)

Memory

-25.6MiB live, 309.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta))))))
✓	cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
✓	cost-diff	640	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
✓	cost-diff	1024	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (*.f64 beta beta))))
✓	cost-diff	0	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))
✓	cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
✓	cost-diff	0	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
✓	cost-diff	0	#s(approx (+ 1 beta) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))))
✓	cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
✓	cost-diff	0	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
✓	cost-diff	0	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))
✓	cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
✓	cost-diff	0	(.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))
✓	cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))

Rules

10 482×	`lower-fma.f32`
10 472×	`lower-fma.f64`
3 628×	`lower-+.f32`
3 618×	`lower-+.f64`
3 346×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	559
0	85	542
1	176	542
2	394	534
3	1186	518
4	5580	499
5	6399	499
6	7195	499
7	7362	499
8	7482	499
9	7538	499
0	8250	499

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 binary64))
#s(literal 1 binary64)
beta
(.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))
#s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 beta #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 beta #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
beta
#s(literal -1/36 binary64)
#s(literal 1/12 binary64)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
(/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))))
#s(approx (+ 1 beta) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
beta
#s(literal 16 binary64)
#s(literal 12 binary64)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 binary64))
#s(literal 1 binary64)
beta
#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
(fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))
(+.f64 beta #s(literal 7 binary64))
#s(literal 7 binary64)
#s(literal 16 binary64)
#s(literal 12 binary64)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta))))
#s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta))))))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)))
(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta))
alpha
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (*.f64 beta beta))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 alpha (.f64 beta beta)))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
#s(literal 1 binary64)
(*.f64 beta beta)
beta
(/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))
(.f64 alpha (.f64 beta beta))

localize185.0ms (1.7%)

Memory

19.8MiB live, 247.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.6%	(.f64 alpha (.f64 beta beta))
✓	accuracy	86.9%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
✓	accuracy	79.3%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (*.f64 beta beta))))
✓	accuracy	54.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
✓	accuracy	100.0%	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓	accuracy	99.9%	(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
✓	accuracy	93.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
✓	accuracy	90.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))
✓	accuracy	93.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
✓	accuracy	90.4%	(/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))))
✓	accuracy	49.2%	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
✓	accuracy	47.9%	#s(approx (+ 1 beta) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
✓	accuracy	93.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
✓	accuracy	46.9%	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))
✓	accuracy	100.0%	#s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
✓	accuracy	99.9%	(.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	93.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
✓	accuracy	90.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))

Samples

108.0ms

256×

valid

Compiler

Compiled 404 to 49 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 48.0ms (55.3% of total)

ival-add: 19.0ms (21.9% of total)

ival-div: 13.0ms (15% of total)

const: 6.0ms (6.9% of total)

exact: 1.0ms (1.2% of total)

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

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

series21.0ms (0.2%)

Memory

5.0MiB live, 42.6MiB allocated

Counts

21 → 360

Calls

Call 1

Inputs
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) beta)>
#<alt (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))>
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))>
#<alt #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))>
#<alt (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))>
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))>
#<alt (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))))>
#<alt #s(approx (+ 1 beta) #s(literal 1 binary64))>
#<alt #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))>
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))>
#<alt #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (*.f64 beta beta))))>
#<alt (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))>
#<alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))>
#<alt #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta))))))>
#<alt #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))>
#<alt (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))>
#<alt (.f64 alpha (.f64 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)))))>
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#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>
#<alt (* alpha (pow beta 2))>

Calls

90 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	inf	(+ (* beta (+ (* beta (+ beta 7)) 16)) 12)
1.0ms	alpha	@	0	(+ (/ 1 (* beta beta)) (/ 1 (* alpha (* beta beta))))
1.0ms	beta	@	0	(+ (/ 1 (* beta beta)) (/ 1 (* alpha (* beta beta))))
0.0ms	alpha	@	-inf	(* alpha (+ (/ 1 (* beta beta)) (/ 1 (* alpha (* beta beta)))))
0.0ms	alpha	@	inf	(* alpha (* beta beta))

simplify376.0ms (3.4%)

Memory

-17.3MiB live, 618.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 624×	`lower-fma.f64`
10 624×	`lower-fma.f32`
6 038×	`lower-*.f64`
6 038×	`lower-*.f32`
4 892×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	15157
1	1406	14505
2	5762	14447
0	8727	13427

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 356

Calls

Call 1

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

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

rewrite309.0ms (2.8%)

Memory

12.1MiB live, 420.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 298×	`lower-/.f32`
4 288×	`lower-/.f64`
3 142×	`lower-*.f32`
3 134×	`lower-*.f64`
2 940×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	497
0	85	463
1	433	427
2	3879	421
0	8277	413

Stop Event

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

Counts

21 → 336

Calls

Call 1

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

Outputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (neg.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (neg.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #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 beta)) (.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) beta) (.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
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(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (.f64 beta beta)))))) (neg.f64 (fma.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (.f64 beta beta))) (.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta beta)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 alpha (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (.f64 beta beta))))) (neg.f64 (/.f64 (-.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta))))
(/.f64 (neg.f64 (.f64 alpha (fma.f64 alpha (.f64 beta beta) (.f64 beta beta)))) (neg.f64 (.f64 beta (.f64 beta (.f64 alpha (*.f64 beta beta))))))
(/.f64 (neg.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 alpha (.f64 beta beta)) (.f64 (.f64 alpha (.f64 beta beta)) (.f64 alpha (.f64 beta beta)))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (.f64 beta beta))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64)) (.f64 beta (.f64 beta (.f64 alpha (*.f64 beta beta))))))))
(/.f64 (neg.f64 (.f64 alpha (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha))) (.f64 (.f64 beta beta) (.f64 beta beta))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (.f64 beta beta))))
(/.f64 (neg.f64 (.f64 (fma.f64 alpha (.f64 beta beta) (.f64 beta beta)) alpha)) (neg.f64 (.f64 beta (.f64 beta (.f64 alpha (*.f64 beta beta))))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 alpha (.f64 beta beta)) (.f64 (.f64 alpha (.f64 beta beta)) (.f64 alpha (.f64 beta beta)))))) alpha)) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (.f64 beta beta))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64)) (.f64 beta (.f64 beta (.f64 alpha (*.f64 beta beta))))))))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha))) (.f64 (.f64 beta beta) (.f64 beta beta))) alpha)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (.f64 beta beta))))
(.f64 alpha (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) alpha) beta beta) (.f64 beta (*.f64 beta beta))))
(.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) alpha) beta beta) (.f64 beta (*.f64 beta beta))) alpha)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))))
#s(approx (/ (+ 1 alpha) (* beta beta)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 alpha (.f64 beta beta))))
#s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
(+.f64 #s(literal 12 binary64) (*.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))))
(+.f64 (*.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) #s(literal 12 binary64))
(+.f64 (.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64)))) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(+.f64 (+.f64 #s(literal 12 binary64) (.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))))) (*.f64 beta #s(literal 16 binary64)))
(-.f64 (/.f64 (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (*.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal -12 binary64))))
(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
(fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(fma.f64 (+.f64 beta #s(literal 7 binary64)) (*.f64 beta beta) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) beta #s(literal 12 binary64))
(fma.f64 (*.f64 beta beta) (+.f64 beta #s(literal 7 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(fma.f64 (*.f64 beta (+.f64 beta #s(literal 7 binary64))) beta (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 144 binary64)) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta #s(literal 12 binary64)))) (fma.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal -12 binary64)) (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal -144 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 144 binary64)) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta #s(literal 12 binary64)))) (fma.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 1728 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal -12 binary64)) (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal -144 binary64)))))
(/.f64 (fma.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 1728 binary64)) (-.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 144 binary64)) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta #s(literal 12 binary64)))))
(/.f64 (fma.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 1728 binary64)) (+.f64 #s(literal 144 binary64) (-.f64 (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (*.f64 beta #s(literal 12 binary64))))))
(/.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal -144 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal -12 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 1728 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 144 binary64)) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta #s(literal 12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 1728 binary64))) (neg.f64 (+.f64 #s(literal 144 binary64) (-.f64 (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (*.f64 beta #s(literal 12 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal -144 binary64))) (neg.f64 (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal -12 binary64))))
(/.f64 (-.f64 #s(literal 144 binary64) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))))) (-.f64 #s(literal 12 binary64) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 144 binary64)) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta #s(literal 12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal -144 binary64)))) (neg.f64 (neg.f64 (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal -12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 144 binary64) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))))) (neg.f64 (-.f64 #s(literal 12 binary64) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 144 binary64)) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta #s(literal 12 binary64)))) (fma.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal -12 binary64)) (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal -144 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))) (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal 144 binary64)) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (*.f64 beta #s(literal 12 binary64))))))
(.f64 (fma.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (.f64 beta (*.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal -12 binary64))))
(exp.f64 (log.f64 (.f64 alpha (.f64 beta beta))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta))))
(/.f64 (.f64 alpha (.f64 beta beta)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
(/.f64 (neg.f64 (.f64 alpha (.f64 beta beta))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 alpha (.f64 beta beta)))) #s(literal 1 binary64))
(pow.f64 (.f64 alpha (.f64 beta beta)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta))) #s(literal -1 binary64))
(.f64 alpha (.f64 beta beta))
(.f64 beta (.f64 alpha beta))
(.f64 (.f64 alpha beta) beta)
(.f64 (.f64 alpha beta) (/.f64 beta #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 alpha (*.f64 beta beta)))
(.f64 (.f64 beta beta) alpha)
(.f64 (.f64 beta beta) (/.f64 alpha #s(literal 1 binary64)))
(.f64 (.f64 alpha (*.f64 beta beta)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 alpha beta)) beta)

eval139.0ms (1.3%)

Memory: 10.1MiB live, 201.9MiB allocated
Compiler: Compiled 25 370 to 1 304 computations (94.9% saved)

prune114.0ms (1%)

Memory

-10.4MiB live, 187.7MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	723	4	727
Fresh	4	14	18
Picked	1	4	5
Done	0	2	2
Total	728	24	752

Accuracy

100.0%

Counts

752 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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)))
	49.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	48.5%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
	74.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (+ (+ alpha beta) 2) (+ (+ (* alpha beta) (+ alpha beta)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
	93.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
	54.3%	#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))
	50.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (.f64 beta beta)))
✓	86.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
✓	86.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	50.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64)))))
✓	51.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
✓	47.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
	48.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
	54.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
	54.2%	#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) (/.f64 #s(literal 1 binary64) beta)))
	46.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	45.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
✓	45.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
	41.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(approx (/ (- 1 (/ 6 beta)) (* beta beta)) (/.f64 (+.f64 beta #s(literal -6 binary64)) (.f64 beta (.f64 beta beta))))))
✓	46.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
	30.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
	51.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta beta)))))
	51.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha #s(approx (+ (/ 1 ( beta beta)) (/ 1 (* alpha (* beta beta)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))))))
	48.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha #s(approx (+ (/ 1 ( beta beta)) (/ 1 (* alpha (* beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))

Compiler

Compiled 1 194 to 357 computations (70.1% saved)

regimes56.0ms (0.5%)

Memory

-11.7MiB live, 69.8MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))

Calls

3 calls:

26.0ms

beta

14.0ms

alpha

12.0ms

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

regimes13.0ms (0.1%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))

Calls

1 calls:

11.0ms

beta

Results

Accuracy	Segments	Branch
99.8%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.3%)

Memory

-6.7MiB live, 69.5MiB allocated

Counts

36 → 2

Calls

Call 1

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

#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))

Calls

3 calls:

12.0ms

alpha

12.0ms

beta

9.0ms

(/.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
99.1%	2	`alpha`
99.2%	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)))`
99.2%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes34.0ms (0.3%)

Memory

-21.1MiB live, 29.8MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))

Calls

2 calls:

21.0ms	beta
11.0ms	alpha

Results

Accuracy	Segments	Branch
98.6%	2	`alpha`
98.7%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))

Calls

1 calls:

9.0ms

beta

Results

Accuracy	Segments	Branch
98.7%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))

#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
98.7%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-3.4MiB live, 33.4MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))

Calls

3 calls:

9.0ms

beta

6.0ms

alpha

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
97.6%	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)))`
73.9%	4	`alpha`
97.6%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta))

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
97.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.3%)

Memory

-17.9MiB live, 18.3MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

27.0ms

beta

4.0ms

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

Results

Accuracy	Segments	Branch
94.9%	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)))`
94.9%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms

beta

3.0ms

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

Results

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

Compiler

Compiled 40 to 16 computations (60% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
91.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory

-25.5MiB live, 13.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

30.0ms

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
74.8%	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)))`
74.8%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

2.0ms

beta

2.0ms

alpha

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
48.5%	1	`alpha`
48.5%	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)))`
48.5%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes6.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Accuracy

Total -0.9b remaining (-2.6%)

Threshold costs -0.9b (-2.6%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))

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

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

Outputs

#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))

Calls

3 calls:

2.0ms

alpha

2.0ms

beta

2.0ms

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

Results

Accuracy	Segments	Branch
46.3%	1	`beta`
46.3%	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)))`
46.3%	1	`alpha`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch9.0ms (0.1%)

Memory

-33.3MiB live, 16.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.2335989257949904e+55	1.6007262180843794e+55

Samples

6.0ms

48×

valid

Compiler

Compiled 166 to 88 computations (47% saved)

Precisions

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

ival-mult: 3.0ms (65.1% of total)

ival-div: 1.0ms (21.7% of total)

ival-add: 1.0ms (21.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Memory

0.9MiB live, 37.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3012994482104.64	138185132813657780.0

Samples

12.0ms

128×

valid

Compiler

Compiled 360 to 195 computations (45.8% saved)

Precisions

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

ival-div: 5.0ms (53.4% of total)

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

ival-mult: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3012994482104.64	138185132813657780.0

Samples

6.0ms

80×

valid

Compiler

Compiled 328 to 187 computations (43% saved)

Precisions

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

ival-add: 2.0ms (49.7% of total)

ival-div: 1.0ms (24.8% of total)

ival-mult: 1.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

-26.5MiB live, 10.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.2335989257949904e+55	1.6007262180843794e+55

Samples

2.0ms

32×

valid

Compiler

Compiled 130 to 76 computations (41.5% saved)

Precisions

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

ival-add: 1.0ms (63.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

31.5MiB live, 31.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.772467158007703e+29	5.431505605119731e+31

Samples

8.0ms

112×

valid

Compiler

Compiled 250 to 152 computations (39.2% saved)

Precisions

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

ival-div: 2.0ms (35.5% of total)

ival-add: 2.0ms (35.5% of total)

ival-mult: 1.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.772467158007703e+29	5.431505605119731e+31

Compiler

Compiled 243 to 152 computations (37.4% saved)

bsearch19.0ms (0.2%)

Memory

4.3MiB live, 40.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.04236615597849998	140.46487758875045

Samples

12.0ms

128×

valid

Compiler

Compiled 256 to 163 computations (36.3% saved)

Precisions

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

ival-div: 4.0ms (45.1% of total)

ival-add: 3.0ms (33.8% of total)

ival-mult: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.2%)

Memory

-28.7MiB live, 43.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.04236615597849998	140.46487758875045

Samples

16.0ms

112×

valid

Compiler

Compiled 248 to 155 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 11.0ms (80.4% of total)

ival-div: 2.0ms (14.6% of total)

ival-mult: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.04236615597849998	140.46487758875045

Compiler

Compiled 248 to 155 computations (37.5% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.04236615597849998	140.46487758875045

Compiler

Compiled 240 to 147 computations (38.8% saved)

bsearch7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.04236615597849998	140.46487758875045

Samples

4.0ms

48×

valid

Compiler

Compiled 216 to 131 computations (39.4% saved)

Precisions

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

ival-div: 1.0ms (41.7% of total)

ival-add: 1.0ms (41.7% of total)

ival-mult: 1.0ms (41.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

-10.0MiB live, 27.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.972488916338407e+98	2.0562480800432114e+100

Samples

10.0ms

112×

valid

Compiler

Compiled 187 to 103 computations (44.9% saved)

Precisions

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

ival-mult: 3.0ms (41% of total)

ival-div: 2.0ms (27.3% of total)

ival-add: 2.0ms (27.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Memory

29.2MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
8×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`*-rgt-identity_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1161
1	154	1161

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 16000000000000001252664646473539901476885764798177869824 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 135000000000000000 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 15500000000000000 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 12500000000000001148785438517922279760504307464460566528 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 1349999999999999928328001683456 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 1349999999999999928328001683456 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 13/2 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 4728779608739021/2251799813685248 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 649999999999999990910190299086656021248833488421254223911717900732214307672950671563832697028608000 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))

Outputs
(if (<=.f64 beta #s(literal 16000000000000001252664646473539901476885764798177869824 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 16000000000000001252664646473539901476885764798177869824 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 alpha beta (+.f64 beta alpha)))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 135000000000000000 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 135000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 alpha beta (+.f64 beta alpha))) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 15500000000000000 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.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))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 15500000000000000 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 12500000000000001148785438517922279760504307464460566528 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 12500000000000001148785438517922279760504307464460566528 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 1349999999999999928328001683456 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 1349999999999999928328001683456 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 1349999999999999928328001683456 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 1349999999999999928328001683456 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 13/2 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 13/2 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ 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)) beta) beta)))
(if (<=.f64 beta #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 4728779608739021/2251799813685248 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 649999999999999990910190299086656021248833488421254223911717900732214307672950671563832697028608000 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))

soundness1.2s (11.1%)

Memory

-9.8MiB live, 1 079.6MiB allocated

Rules

7 252×	`lower-+.f64`
7 252×	`lower-+.f32`
6 986×	`lower-+.f64`
6 986×	`lower-+.f32`
6 896×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1173	19479
1	4067	18590
0	8529	17675
0	14	80
0	26	76
1	123	68
2	1161	68
0	8168	64
0	45	380
0	77	350
1	367	322
2	3096	322
0	8433	322
0	1625	23103
1	5587	22662
0	8064	21634
0	60	497
0	85	463
1	433	427
2	3879	421
0	8277	413
0	700	5640
1	2487	5408
0	8106	5128

Stop Event

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

Compiler

Compiled 951 to 461 computations (51.5% saved)

preprocess131.0ms (1.2%)

Memory: 5.4MiB live, 161.3MiB allocated
Compiler: Compiled 836 to 248 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (15.6%)

preprocess661.0ms (6%)

explain308.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify573.0ms (5.2%)

localize107.0ms (1%)

series47.0ms (0.4%)

simplify259.0ms (2.3%)

rewrite313.0ms (2.8%)

eval125.0ms (1.1%)

prune107.0ms (1%)

simplify312.0ms (2.8%)

localize223.0ms (2%)

series71.0ms (0.6%)

simplify359.0ms (3.3%)

rewrite314.0ms (2.9%)

eval500.0ms (4.5%)

prune254.0ms (2.3%)

simplify214.0ms (1.9%)

localize196.0ms (1.8%)

series48.0ms (0.4%)

simplify468.0ms (4.2%)

rewrite311.0ms (2.8%)

eval161.0ms (1.5%)

prune213.0ms (1.9%)

simplify250.0ms (2.3%)

localize185.0ms (1.7%)

series21.0ms (0.2%)

simplify376.0ms (3.4%)

rewrite309.0ms (2.8%)

eval139.0ms (1.3%)

prune114.0ms (1%)

regimes56.0ms (0.5%)

regimes13.0ms (0.1%)

regimes36.0ms (0.3%)

regimes34.0ms (0.3%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes21.0ms (0.2%)

regimes6.0ms (0.1%)

regimes32.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes33.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch19.0ms (0.2%)

bsearch11.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch19.0ms (0.2%)

bsearch27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch7.0ms (0.1%)

bsearch16.0ms (0.1%)

simplify13.0ms (0.1%)

soundness1.2s (11.1%)

preprocess131.0ms (1.2%)

end0.0ms (0%)

Profiling