Metrics for Octave 3.8, jcobi/3

analyze2.0ms (0%)

Memory

7.0MiB live, 7.0MiB 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)

sample1.2s (9.6%)

Memory

5.6MiB live, 1 635.0MiB allocated

Samples

835.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 597.0ms

ival-div: 212.0ms (35.5% of total)

ival-add: 208.0ms (34.8% of total)

ival-mult: 99.0ms (16.6% of total)

ival->: 50.0ms (8.4% of total)

exact: 14.0ms (2.3% of total)

ival-and: 11.0ms (1.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess960.0ms (7.5%)

Memory

23.1MiB live, 921.5MiB 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)

explain227.0ms (1.8%)

Memory

-7.8MiB live, 489.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	508×	0	valid
1.0ms	4×	2	valid

Compiler

Compiled 322 to 60 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 17.0ms (47.6% of total)

ival-div: 11.0ms (30.8% of total)

ival-mult: 6.0ms (16.8% of total)

ival-true: 1.0ms (2.8% of total)

exact: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(/.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)))

Status

Accuracy

Program

▶

96.0%

(/.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)))

Compiler

Compiled 37 to 14 computations (62.2% saved)

simplify773.0ms (6%)

Memory

-16.3MiB live, 1 265.6MiB 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)))

localize44.0ms (0.3%)

Memory

-13.1MiB live, 105.6MiB 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	96.2%	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))

Samples

23.0ms	254×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions

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

ival-add: 7.0ms (49.4% of total)

ival-div: 4.0ms (28.2% of total)

ival-mult: 3.0ms (21.2% 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)

series29.0ms (0.2%)

Memory

15.9MiB live, 54.0MiB 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
4.0ms	alpha	@	-inf	(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 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	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	beta	@	-inf	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	alpha	@	0	(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))

simplify406.0ms (3.2%)

Memory

0.7MiB live, 547.1MiB 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)))
(neg.f64 (fma.f64 alpha (-.f64 (/.f64 beta (neg.f64 alpha)) beta) (neg.f64 alpha)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))
(neg.f64 (fma.f64 alpha (-.f64 (/.f64 beta (neg.f64 alpha)) beta) (neg.f64 alpha)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))
(neg.f64 (fma.f64 alpha (-.f64 (/.f64 beta (neg.f64 alpha)) beta) (neg.f64 alpha)))
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)))

rewrite371.0ms (2.9%)

Memory

-14.0MiB live, 521.4MiB 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 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)))))

eval89.0ms (0.7%)

Memory: 8.4MiB live, 121.1MiB allocated
Compiler: Compiled 23 510 to 1 968 computations (91.6% saved)

prune79.0ms (0.6%)

Memory

31.4MiB live, 187.3MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	446	23	469
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	447	23	470

Accuracy

99.7%

Counts

470 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(/.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)))
	95.0%	(/.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 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))
▶	95.1%	(/.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)))))
	60.2%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	86.7%	(/.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)))))
	86.7%	(/.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))))
	95.1%	(/.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 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	62.7%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (+.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)))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 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 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	95.1%	(/.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 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	95.0%	(/.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))))
	52.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	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))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	53.4%	(/.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)))
	53.4%	(/.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)))
	61.0%	(.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 alpha beta) #s(literal -4 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
▶	95.1%	(*.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)))))
	95.9%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 alpha (+.f64 beta #s(literal 3 binary64)))))
	95.1%	(.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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
	50.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.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 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta)))
	88.1%	#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 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	4.0%	#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)))
	50.8%	#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 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
▶	51.9%	#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) alpha) (*.f64 beta beta)))

Compiler

Compiled 1 450 to 698 computations (51.9% saved)

simplify533.0ms (4.2%)

Memory

29.7MiB live, 645.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.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)))
✓	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)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	cost-diff	384	(*.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)))))
✓	cost-diff	0	(fma.f64 alpha beta (+.f64 alpha 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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 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) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	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	384	(/.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)))

Rules

16 424×	`lower-fma.f32`
16 420×	`lower-fma.f64`
5 504×	`lower-+.f32`
5 486×	`lower-+.f64`
4 940×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	488
0	79	479
1	154	479
2	368	479
3	1672	465
4	2365	465
5	3060	465
6	3623	465
7	3802	465
8	3844	465
9	6174	465
10	6204	465
11	6651	465
12	6929	465
13	6929	465
14	7461	465
15	7577	465
16	7679	465
17	7679	465
18	7679	465
0	8045	461

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

localize459.0ms (3.6%)

Memory

-112.2MiB live, 437.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.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)))))
✓	accuracy	100.0%	(/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	99.9%	(/.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)))
✓	accuracy	73.5%	(/.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)))
✓	accuracy	100.0%	(fma.f64 alpha beta (+.f64 alpha beta))
✓	accuracy	99.9%	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	98.1%	(/.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)))))
✓	accuracy	96.2%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	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) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	98.5%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
✓	accuracy	50.0%	#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))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	98.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	accuracy	53.4%	#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%	(fma.f64 alpha beta (+.f64 alpha 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	99.9%	(/.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)))
✓	accuracy	96.2%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

Samples

366.0ms	254×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 498 to 43 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-add: 310.0ms (91.7% of total)

ival-div: 16.0ms (4.7% of total)

ival-mult: 11.0ms (3.3% of total)

exact: 1.0ms (0.3% of total)

adjust: 0.0ms (0% of total)

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

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

series89.0ms (0.7%)

Memory

-13.2MiB live, 144.2MiB allocated

Counts

21 → 432

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 (+.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 #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 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))>
#<alt (/.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)))>
#<alt (/.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)))))>
#<alt (fma.f64 alpha beta (+.f64 alpha beta))>
#<alt (*.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)))))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt #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))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))>
#<alt (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 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)>
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#<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 alpha 2)))>
#<alt (+ 1/4 (* (pow alpha 2) (- (* 1/16 alpha) 1/16)))>
#<alt (+ 1/4 (* (pow alpha 2) (- (* alpha (+ 1/16 (* -3/64 alpha))) 1/16)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 3 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 8 (pow alpha 2))) (* 3 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 8 (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (* 20 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 3 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 3) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 alpha)) 8) alpha)) 3) alpha)) 1) alpha))>
#<alt (* (+ 2 beta) (+ 3 beta))>
#<alt (+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))>
#<alt (* (+ 2 alpha) (+ 3 alpha))>
#<alt (+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))>
#<alt (/ (- beta 2) (+ 3 beta))>
#<alt (- (+ (* alpha (- (+ (* 2 (/ 1 (pow (+ 3 beta) 2))) (/ 1 (+ 3 beta))) (/ beta (pow (+ 3 beta) 2)))) (/ beta (+ 3 beta))) (* 2 (/ 1 (+ 3 beta))))>
#<alt (- (+ (* alpha (- (+ (* 2 (/ 1 (pow (+ 3 beta) 2))) (+ (* alpha (- (/ beta (pow (+ 3 beta) 3)) (+ (* 2 (/ 1 (pow (+ 3 beta) 3))) (/ 1 (pow (+ 3 beta) 2))))) (/ 1 (+ 3 beta)))) (/ beta (pow (+ 3 beta) 2)))) (/ beta (+ 3 beta))) (* 2 (/ 1 (+ 3 beta))))>
#<alt (- (+ (* alpha (- (+ (* 2 (/ 1 (pow (+ 3 beta) 2))) (+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (pow (+ 3 beta) 4))) (/ 1 (pow (+ 3 beta) 3))) (/ beta (pow (+ 3 beta) 4)))) (/ beta (pow (+ 3 beta) 3))) (+ (* 2 (/ 1 (pow (+ 3 beta) 3))) (/ 1 (pow (+ 3 beta) 2))))) (/ 1 (+ 3 beta)))) (/ beta (pow (+ 3 beta) 2)))) (/ beta (+ 3 beta))) (* 2 (/ 1 (+ 3 beta))))>
#<alt 1>
#<alt (- 1 (* 5 (/ 1 alpha)))>
#<alt (- (+ 1 (* 5 (/ (+ 3 beta) (pow alpha 2)))) (* 5 (/ 1 alpha)))>
#<alt (- (+ 1 (* -5 (/ (pow (+ 3 beta) 2) (pow alpha 3)))) (+ (* -5 (/ (+ 3 beta) (pow alpha 2))) (* 5 (/ 1 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 (- beta 2)) (* -1 (+ 3 beta))) alpha)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- beta 2)) (* -1 (/ (* (+ 3 beta) (- (* -1 (- beta 2)) (* -1 (+ 3 beta)))) alpha))) (* -1 (+ 3 beta))) alpha)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- beta 2)) (* -1 (/ (- (* -1 (/ (* (pow (+ 3 beta) 2) (- (* -1 (- beta 2)) (* -1 (+ 3 beta)))) alpha)) (* -1 (* (+ 3 beta) (- (* -1 (- beta 2)) (* -1 (+ 3 beta)))))) alpha))) (* -1 (+ 3 beta))) alpha)))>
#<alt (/ (- alpha 2) (+ 3 alpha))>
#<alt (- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ 3 alpha) 2))) (/ 1 (+ 3 alpha))) (/ alpha (pow (+ 3 alpha) 2)))) (/ alpha (+ 3 alpha))) (* 2 (/ 1 (+ 3 alpha))))>
#<alt (- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ 3 alpha) 2))) (+ (* beta (- (/ alpha (pow (+ 3 alpha) 3)) (+ (* 2 (/ 1 (pow (+ 3 alpha) 3))) (/ 1 (pow (+ 3 alpha) 2))))) (/ 1 (+ 3 alpha)))) (/ alpha (pow (+ 3 alpha) 2)))) (/ alpha (+ 3 alpha))) (* 2 (/ 1 (+ 3 alpha))))>
#<alt (- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ 3 alpha) 2))) (+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ 3 alpha) 4))) (/ 1 (pow (+ 3 alpha) 3))) (/ alpha (pow (+ 3 alpha) 4)))) (/ alpha (pow (+ 3 alpha) 3))) (+ (* 2 (/ 1 (pow (+ 3 alpha) 3))) (/ 1 (pow (+ 3 alpha) 2))))) (/ 1 (+ 3 alpha)))) (/ alpha (pow (+ 3 alpha) 2)))) (/ alpha (+ 3 alpha))) (* 2 (/ 1 (+ 3 alpha))))>
#<alt 1>
#<alt (- 1 (* 5 (/ 1 beta)))>
#<alt (- (+ 1 (* 5 (/ (+ 3 alpha) (pow beta 2)))) (* 5 (/ 1 beta)))>
#<alt (- (+ 1 (* -5 (/ (pow (+ 3 alpha) 2) (pow beta 3)))) (+ (* -5 (/ (+ 3 alpha) (pow beta 2))) (* 5 (/ 1 beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 (- alpha 2)) (* -1 (+ 3 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- alpha 2)) (* -1 (/ (* (+ 3 alpha) (- (* -1 (- alpha 2)) (* -1 (+ 3 alpha)))) beta))) (* -1 (+ 3 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- alpha 2)) (* -1 (/ (- (* -1 (/ (* (pow (+ 3 alpha) 2) (- (* -1 (- alpha 2)) (* -1 (+ 3 alpha)))) beta)) (* -1 (* (+ 3 alpha) (- (* -1 (- alpha 2)) (* -1 (+ 3 alpha)))))) beta))) (* -1 (+ 3 alpha))) beta)))>

Calls

108 calls:

Time	Variable		Point	Expression
9.0ms	alpha	@	0	(* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3))))
6.0ms	alpha	@	inf	(/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3)))
5.0ms	alpha	@	0	(/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2))
4.0ms	alpha	@	-inf	(/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2))
3.0ms	beta	@	0	(* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3))))

simplify721.0ms (5.6%)

Memory

8.1MiB live, 720.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 518×	`lower-*.f64`
5 518×	`lower-*.f32`
4 944×	`lower-fma.f64`
4 944×	`lower-fma.f32`
4 920×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1993	26104
1	6992	26104
0	8041	24429

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 424

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)))
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(/ (- (+ 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))
1/4
(+ 1/4 (* -1/16 (pow alpha 2)))
(+ 1/4 (* (pow alpha 2) (- (* 1/16 alpha) 1/16)))
(+ 1/4 (* (pow alpha 2) (- (* alpha (+ 1/16 (* -3/64 alpha))) 1/16)))
(/ 1 alpha)
(/ (- 1 (* 3 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 8 (pow alpha 2))) (* 3 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 8 (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (* 20 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 3 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 3) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 alpha)) 8) alpha)) 3) alpha)) 1) alpha))
(* (+ 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))))
(/ (- beta 2) (+ 3 beta))
(- (+ (* alpha (- (+ (* 2 (/ 1 (pow (+ 3 beta) 2))) (/ 1 (+ 3 beta))) (/ beta (pow (+ 3 beta) 2)))) (/ beta (+ 3 beta))) (* 2 (/ 1 (+ 3 beta))))
(- (+ (* alpha (- (+ (* 2 (/ 1 (pow (+ 3 beta) 2))) (+ (* alpha (- (/ beta (pow (+ 3 beta) 3)) (+ (* 2 (/ 1 (pow (+ 3 beta) 3))) (/ 1 (pow (+ 3 beta) 2))))) (/ 1 (+ 3 beta)))) (/ beta (pow (+ 3 beta) 2)))) (/ beta (+ 3 beta))) (* 2 (/ 1 (+ 3 beta))))
(- (+ (* alpha (- (+ (* 2 (/ 1 (pow (+ 3 beta) 2))) (+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (pow (+ 3 beta) 4))) (/ 1 (pow (+ 3 beta) 3))) (/ beta (pow (+ 3 beta) 4)))) (/ beta (pow (+ 3 beta) 3))) (+ (* 2 (/ 1 (pow (+ 3 beta) 3))) (/ 1 (pow (+ 3 beta) 2))))) (/ 1 (+ 3 beta)))) (/ beta (pow (+ 3 beta) 2)))) (/ beta (+ 3 beta))) (* 2 (/ 1 (+ 3 beta))))
1
(- 1 (* 5 (/ 1 alpha)))
(- (+ 1 (* 5 (/ (+ 3 beta) (pow alpha 2)))) (* 5 (/ 1 alpha)))
(- (+ 1 (* -5 (/ (pow (+ 3 beta) 2) (pow alpha 3)))) (+ (* -5 (/ (+ 3 beta) (pow alpha 2))) (* 5 (/ 1 alpha))))
1
(+ 1 (* -1 (/ (- (* -1 (- beta 2)) (* -1 (+ 3 beta))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (- beta 2)) (* -1 (/ (* (+ 3 beta) (- (* -1 (- beta 2)) (* -1 (+ 3 beta)))) alpha))) (* -1 (+ 3 beta))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (- beta 2)) (* -1 (/ (- (* -1 (/ (* (pow (+ 3 beta) 2) (- (* -1 (- beta 2)) (* -1 (+ 3 beta)))) alpha)) (* -1 (* (+ 3 beta) (- (* -1 (- beta 2)) (* -1 (+ 3 beta)))))) alpha))) (* -1 (+ 3 beta))) alpha)))
(/ (- alpha 2) (+ 3 alpha))
(- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ 3 alpha) 2))) (/ 1 (+ 3 alpha))) (/ alpha (pow (+ 3 alpha) 2)))) (/ alpha (+ 3 alpha))) (* 2 (/ 1 (+ 3 alpha))))
(- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ 3 alpha) 2))) (+ (* beta (- (/ alpha (pow (+ 3 alpha) 3)) (+ (* 2 (/ 1 (pow (+ 3 alpha) 3))) (/ 1 (pow (+ 3 alpha) 2))))) (/ 1 (+ 3 alpha)))) (/ alpha (pow (+ 3 alpha) 2)))) (/ alpha (+ 3 alpha))) (* 2 (/ 1 (+ 3 alpha))))
(- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ 3 alpha) 2))) (+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (pow (+ 3 alpha) 4))) (/ 1 (pow (+ 3 alpha) 3))) (/ alpha (pow (+ 3 alpha) 4)))) (/ alpha (pow (+ 3 alpha) 3))) (+ (* 2 (/ 1 (pow (+ 3 alpha) 3))) (/ 1 (pow (+ 3 alpha) 2))))) (/ 1 (+ 3 alpha)))) (/ alpha (pow (+ 3 alpha) 2)))) (/ alpha (+ 3 alpha))) (* 2 (/ 1 (+ 3 alpha))))
1
(- 1 (* 5 (/ 1 beta)))
(- (+ 1 (* 5 (/ (+ 3 alpha) (pow beta 2)))) (* 5 (/ 1 beta)))
(- (+ 1 (* -5 (/ (pow (+ 3 alpha) 2) (pow beta 3)))) (+ (* -5 (/ (+ 3 alpha) (pow beta 2))) (* 5 (/ 1 beta))))
1
(+ 1 (* -1 (/ (- (* -1 (- alpha 2)) (* -1 (+ 3 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (- alpha 2)) (* -1 (/ (* (+ 3 alpha) (- (* -1 (- alpha 2)) (* -1 (+ 3 alpha)))) beta))) (* -1 (+ 3 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (- alpha 2)) (* -1 (/ (- (* -1 (/ (* (pow (+ 3 alpha) 2) (- (* -1 (- alpha 2)) (* -1 (+ 3 alpha)))) beta)) (* -1 (* (+ 3 alpha) (- (* -1 (- alpha 2)) (* -1 (+ 3 alpha)))))) beta))) (* -1 (+ 3 alpha))) beta)))

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

rewrite485.0ms (3.8%)

Memory

-14.8MiB live, 524.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 944×	`lower-*.f32`
5 936×	`lower-*.f64`
4 422×	`lower-/.f32`
4 402×	`lower-/.f64`
2 656×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	347
0	79	319
1	388	295
2	3467	295
0	9048	295

Stop Event

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

Counts

21 → 874

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

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

eval292.0ms (2.3%)

Memory: 37.1MiB live, 537.5MiB allocated
Compiler: Compiled 77 763 to 4 750 computations (93.9% saved)

prune278.0ms (2.2%)

Memory

-9.8MiB live, 512.4MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	1 666	24	1 690
Fresh	15	3	18
Picked	4	1	5
Done	0	0	0
Total	1 685	28	1 713

Accuracy

99.7%

Counts

1 713 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(/.f64 (/.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 (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)))))
	93.7%	(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	60.2%	(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
▶	95.1%	(/.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	75.1%	(/.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)))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
	50.5%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	52.1%	(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta))) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	92.9%	(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	52.9%	(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	53.4%	(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	58.9%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	88.8%	(.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 3 binary64))))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
	88.1%	(.f64 #s(approx (/ (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	49.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha))) (.f64 beta beta)))
	53.3%	#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))
	49.7%	#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 alpha alpha)) (.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
▶	88.1%	#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 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	4.0%	#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)))
	50.8%	#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 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
✓	51.9%	#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) alpha) (*.f64 beta beta)))
	51.1%	#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) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (-.f64 #s(literal 1 binary64) alpha)))
	47.2%	#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)))
	52.2%	#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 beta (+.f64 alpha #s(literal 1 binary64))))))
▶	53.2%	#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)))
	51.9%	#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) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
▶	32.9%	#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))))
▶	51.1%	#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)))))))
	85.7%	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3)))) (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64)))))))

Compiler

Compiled 1 114 to 646 computations (42% saved)

simplify324.0ms (2.5%)

Memory

-5.1MiB live, 455.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	(+.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 alpha #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 alpha #s(literal 1 binary64)) 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 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta)))
✓	cost-diff	704	(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(/.f64 alpha (*.f64 beta beta))
✓	cost-diff	0	#s(approx (/ (+ 1 alpha) (* beta beta)) (/.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 beta beta))))
✓	cost-diff	0	(/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	cost-diff	64	(+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64))))
✓	cost-diff	384	(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))))
✓	cost-diff	384	(/.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

Rules

9 294×	`lower-fma.f32`
9 290×	`lower-fma.f64`
3 402×	`lower-*.f32`
3 388×	`lower-*.f64`
3 314×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	492
0	88	470
1	180	468
2	433	460
3	1500	442
4	4793	440
5	6222	440
6	7295	440
7	7389	440
8	7445	440
9	7445	440
0	8338	436

Stop Event

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

Calls

Call 1

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

localize176.0ms (1.4%)

Memory

13.0MiB live, 416.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.0%	(.f64 alpha (.f64 beta beta))
✓	accuracy	89.1%	(.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	53.4%	#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%	(*.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	93.8%	#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) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
✓	accuracy	90.8%	(/.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 alpha #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)
✓	accuracy	99.7%	(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 #s(literal 1 binary64) beta))
✓	accuracy	53.4%	#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)))
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	86.6%	(/.f64 alpha (*.f64 beta beta))
✓	accuracy	53.4%	#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 beta beta))))
✓	accuracy	33.5%	#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
✓	accuracy	100.0%	(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	99.9%	(/.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	73.5%	(/.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)))

Samples

92.0ms

256×

valid

Compiler

Compiled 442 to 51 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-add: 30.0ms (45.8% of total)

ival-div: 19.0ms (29% of total)

ival-mult: 16.0ms (24.4% of total)

exact: 1.0ms (1.5% of total)

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

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

series52.0ms (0.4%)

Memory

-1.8MiB live, 112.5MiB allocated

Counts

23 → 480

Calls

Call 1

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

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

120 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	inf	(/ alpha (* beta beta))
3.0ms	beta	@	inf	(* (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3))) (/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ (* (+ alpha beta) (+ alpha beta)) -4)))
2.0ms	beta	@	0	(+ (/ 1 (* beta beta)) (/ 1 (* alpha (* beta beta))))
2.0ms	alpha	@	0	(* (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3))) (/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ (* (+ alpha beta) (+ alpha beta)) -4)))
2.0ms	beta	@	0	(* (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3))) (/ (+ alpha (+ beta (+ (* alpha beta) 1))) (+ (* (+ alpha beta) (+ alpha beta)) -4)))

simplify544.0ms (4.3%)

Memory

-33.1MiB live, 791.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 298×	`lower-fma.f64`
5 298×	`lower-fma.f32`
5 038×	`lower-*.f64`
5 038×	`lower-*.f32`
4 254×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1376	22897
1	4810	22236
0	8196	20826

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 476

Calls

Call 1

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

rewrite321.0ms (2.5%)

Memory

30.7MiB live, 493.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 804×	`lower-/.f32`
4 786×	`lower-/.f64`
3 566×	`lower-*.f32`
3 552×	`lower-*.f64`
3 126×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	410
0	88	383
1	459	331
2	4585	325
0	8744	322

Stop Event

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

Counts

23 → 686

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha (fma.f64 alpha beta #s(literal 1 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
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(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
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(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 27 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 (fma.f64 beta beta #s(literal 9 binary64)) (.f64 beta #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 beta beta #s(literal -9 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -3 binary64)))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 (fma.f64 beta beta #s(literal 4 binary64)) (.f64 beta #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 beta beta #s(literal -4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -2 binary64)))
(.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 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 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 alpha (.f64 beta beta))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 alpha (.f64 beta beta)) #s(literal -1 binary64)))
(/.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 (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 #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 alpha beta) beta)

eval239.0ms (1.9%)

Memory: 11.0MiB live, 330.1MiB allocated
Compiler: Compiled 47 220 to 3 527 computations (92.5% saved)

prune156.0ms (1.2%)

Memory

16.9MiB live, 402.2MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1 197	19	1 216
Fresh	13	9	22
Picked	4	1	5
Done	0	1	1
Total	1 214	30	1 244

Accuracy

99.7%

Counts

1 244 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	75.1%	(/.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)))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
	50.5%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	52.1%	(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta))) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	52.9%	(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	53.4%	(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	58.9%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	46.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha alpha #s(literal 1 binary64)) alpha))))
	49.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 beta beta) (+.f64 alpha #s(literal -1 binary64)))))
▶	92.9%	#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 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))))
	53.3%	#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))
	42.5%	#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)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
	88.2%	#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)))))
	74.7%	#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 #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	42.0%	#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)) (.f64 beta (.f64 beta beta)))))
▶	50.8%	#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 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
✓	51.9%	#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) alpha) (*.f64 beta beta)))
	51.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (+.f64 alpha #s(literal -1 binary64))))
	47.2%	#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)))
	47.9%	#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))))
	47.4%	#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))))
	47.5%	#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))))
▶	48.1%	#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)))
▶	33.5%	#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 beta) beta)))
✓	32.9%	#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))))
▶	32.8%	#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 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha))))
	27.2%	#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 (fma.f64 (/.f64 #s(literal 1 binary64) alpha) beta beta) (.f64 beta (*.f64 beta beta))) alpha)))
	32.9%	#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 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
	51.8%	#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))))))
	47.1%	#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 (.f64 beta beta) alpha))))))

Compiler

Compiled 875 to 512 computations (41.5% saved)

simplify417.0ms (3.3%)

Memory

-23.8MiB live, 423.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

10 714×	`lower-fma.f64`
10 714×	`lower-fma.f32`
3 740×	`lower-+.f32`
3 728×	`lower-+.f64`
2 966×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	387
0	66	371
1	138	371
2	392	371
3	1277	361
4	5959	361
5	6170	361
6	6592	361
7	6895	361
8	6954	361
9	6996	361
10	7698	361
11	7926	361
0	8010	352

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 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(+.f64 beta #s(literal 1 binary64))
beta
#s(literal 1 binary64)
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 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))) #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)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 alpha beta)
alpha
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 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha))))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha))
#s(literal 1 binary64)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta beta)
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) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(+.f64 #s(literal 3 binary64) alpha)
#s(literal 3 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 2 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 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 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 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(+.f64 beta #s(literal 1 binary64))
beta
#s(literal 1 binary64)
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 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))) #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)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha 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 beta beta))))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha beta)
alpha
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 #s(literal 1 binary64) (/.f64 (*.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 alpha (*.f64 beta beta))))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha)))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha))
(/.f64 alpha (*.f64 beta beta))
#s(literal 1 binary64)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta beta)
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) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
#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 (+.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) alpha)
(+.f64 alpha #s(literal 1 binary64))
#s(literal 1 binary64)
alpha
(.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(*.f64 (+.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))
(+.f64 #s(literal 3 binary64) alpha)
(+.f64 alpha #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 2 binary64) alpha)
(+.f64 alpha #s(literal 2 binary64))
#s(literal 2 binary64)

localize133.0ms (1%)

Memory

-25.4MiB live, 272.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
✓	accuracy	98.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))
✓	accuracy	49.6%	#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) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha))
✓	accuracy	86.6%	(/.f64 (*.f64 beta beta) alpha)
✓	accuracy	53.4%	#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 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha))))
✓	accuracy	33.5%	#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha)))
✓	accuracy	100.0%	(/.f64 alpha beta)
✓	accuracy	99.7%	(/.f64 (/.f64 alpha beta) beta)
✓	accuracy	53.4%	#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 (/.f64 alpha beta) beta)))
✓	accuracy	33.5%	#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta))
✓	accuracy	93.8%	#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))) #s(literal 1/12 binary64)))
✓	accuracy	48.6%	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.0%	(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓	accuracy	93.8%	#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 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))))

Samples

70.0ms

256×

valid

Compiler

Compiled 323 to 40 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 18.0ms (35.5% of total)

ival-add: 17.0ms (33.5% of total)

ival-mult: 11.0ms (21.7% of total)

const: 4.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

19 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(/ alpha beta)
0.0ms	alpha	@	0	(/ alpha beta)
0.0ms	alpha	@	-inf	(/ alpha beta)
0.0ms	alpha	@	-inf	(/ (* beta beta) alpha)
0.0ms	beta	@	-inf	(/ alpha beta)

simplify476.0ms (3.7%)

Memory

28.5MiB live, 730.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 888×	`lower-fma.f64`
7 888×	`lower-fma.f32`
5 856×	`lower-*.f64`
5 856×	`lower-*.f32`
4 384×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	14856
1	1630	14194
2	6287	14172
0	8116	13167

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 358

Calls

Call 1

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

Outputs
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/36 beta))
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))
(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))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 (/.f64 #s(literal 26 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta))) (.f64 beta beta))
(/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 26 binary64) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 #s(literal 98 binary64) (.f64 beta (.f64 beta beta))))) (.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -26 binary64) beta)) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 26 binary64) (/.f64 #s(literal 98 binary64) beta)) beta)) beta)) (*.f64 beta beta))
6
#s(literal 6 binary64)
(+ 6 (* 5 beta))
(fma.f64 beta #s(literal 5 binary64) #s(literal 6 binary64))
(+ 6 (* beta (+ 5 beta)))
(fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))
(+ 6 (* beta (+ 5 beta)))
(fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) beta) beta)
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) beta) beta)
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.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)))))
(fma.f64 alpha (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.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 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 3 binary64) #s(literal 7 binary64))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))) (neg.f64 alpha) (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.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 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (/.f64 (fma.f64 beta #s(literal 3 binary64) #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))) (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 3 binary64) #s(literal 7 binary64))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 3 binary64) #s(literal 7 binary64))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))))) (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))
(/ (+ 1 beta) (pow alpha 2))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 beta #s(literal 3 binary64) #s(literal 7 binary64)) alpha) (+.f64 (+.f64 beta (/.f64 #s(literal 1 binary64) alpha)) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)))) (*.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))
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(+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 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(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))))) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))))) (fma.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) beta) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha) (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)))) (*.f64 beta beta))
(/ (- (+ 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))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) beta) (+.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))) (.f64 beta beta)))))) (.f64 beta beta))
(/ (- (+ 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))
(/.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha) (+.f64 (/.f64 alpha beta) #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))) (neg.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (fma.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))))) (.f64 beta (.f64 beta beta)))) (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (.f64 beta beta))) (.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (.f64 beta beta))))) (*.f64 beta beta))
(* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) (neg.f64 (*.f64 beta beta)))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/.f64 (-.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)) (neg.f64 beta)) (-.f64 #s(literal -1 binary64) alpha)) (*.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 (+.f64 (/.f64 (fma.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 -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 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) alpha))) (neg.f64 beta)) (-.f64 #s(literal -1 binary64) alpha)) (.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 (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 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))) (/.f64 (.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))) (fma.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 -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)) (.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)) beta) (-.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))))) (fma.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 -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))) (neg.f64 beta)) (-.f64 #s(literal -1 binary64) alpha)) (*.f64 beta beta))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/36 alpha))
(fma.f64 #s(literal -1/36 binary64) alpha #s(literal 1/12 binary64))
(+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))
(fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 2/81 binary64) alpha #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/ 1 (pow alpha 2))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) alpha)) (*.f64 alpha alpha))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow alpha 2))
(/.f64 (+.f64 (/.f64 #s(literal 26 binary64) (.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) alpha))) (.f64 alpha alpha))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 98 (/ 1 (pow alpha 3))))) (pow alpha 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 26 binary64) (.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) alpha))) (/.f64 #s(literal 98 binary64) (.f64 alpha (.f64 alpha alpha)))) (.f64 alpha alpha))
(/ 1 (pow alpha 2))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) alpha)) (*.f64 alpha alpha))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 alpha))) alpha))) (pow alpha 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -26 binary64) alpha)) alpha)) (*.f64 alpha alpha))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 alpha))) alpha))) alpha))) (pow alpha 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 26 binary64) (/.f64 #s(literal -98 binary64) alpha)) alpha)) alpha)) (*.f64 alpha alpha))
1
#s(literal 1 binary64)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
12
#s(literal 12 binary64)
(+ 12 (* 16 alpha))
(fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64))
(+ 12 (* alpha (+ 16 (* 7 alpha))))
(fma.f64 alpha (fma.f64 alpha #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))
(+ 12 (* alpha (+ 16 (* alpha (+ 7 alpha)))))
(fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
(pow alpha 3)
(.f64 alpha (.f64 alpha alpha))
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(.f64 (.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 7 binary64) alpha)))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (/ 16 (pow alpha 2)))))
(.f64 (.f64 alpha (.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 7 binary64) alpha) (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)))))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (+ (* 12 (/ 1 (pow alpha 3))) (/ 16 (pow alpha 2))))))
(.f64 (.f64 alpha (.f64 alpha alpha)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 7 binary64) alpha)) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 12 binary64) (.f64 alpha (.f64 alpha alpha))))))
(pow alpha 3)
(.f64 alpha (.f64 alpha alpha))
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(.f64 (.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 7 binary64) alpha)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 alpha))) alpha)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 7 binary64) (/.f64 #s(literal 16 binary64) alpha)) alpha)) (neg.f64 (.f64 alpha (*.f64 alpha alpha))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 alpha)) (/ 12 (pow alpha 2)))) alpha)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 7 binary64) (/.f64 #s(literal 16 binary64) alpha)) (/.f64 #s(literal 12 binary64) (.f64 alpha alpha))) alpha)) (neg.f64 (.f64 alpha (.f64 alpha alpha))))

rewrite381.0ms (3%)

Memory

5.3MiB live, 563.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 354×	`lower-*.f32`
5 346×	`lower-*.f64`
4 226×	`lower-/.f32`
4 212×	`lower-/.f64`
2 850×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	355
0	66	327
1	336	303
2	2974	303
0	8296	298

Stop Event

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

Counts

19 → 450

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 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)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))))))
(neg.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(neg.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 beta #s(literal 2 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)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (+.f64 (neg.f64 beta) #s(literal -2 binary64))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 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 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (+.f64 beta #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.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 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (+.f64 beta #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 beta beta (-.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))))))
(/.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 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 (.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal -1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 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 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta))) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (+.f64 beta #s(literal 3 binary64))))
(/.f64 (neg.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 beta beta #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (+.f64 beta #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) beta))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))
(pow.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (pow.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))))))
(.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 beta #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 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 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))) (/.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) (+.f64 beta #s(literal 3 binary64))) (pow.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (.f64 beta beta) #s(literal 27 binary64))) (-.f64 (fma.f64 beta beta #s(literal 9 binary64)) (.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta beta #s(literal -9 binary64))) (+.f64 beta #s(literal -3 binary64)))
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(fma.f64 beta (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))
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(fma.f64 beta (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 3 binary64)) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (*.f64 #s(literal 3 binary64) (+.f64 beta #s(literal 2 binary64))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) (+.f64 beta #s(literal 2 binary64)) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))
(fma.f64 (+.f64 beta #s(literal 3 binary64)) beta (fma.f64 beta #s(literal 2 binary64) #s(literal 6 binary64)))
(fma.f64 (+.f64 beta #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
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(/.f64 (.f64 (fma.f64 beta beta #s(literal -4 binary64)) (fma.f64 beta beta #s(literal -9 binary64))) (.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 beta #s(literal -3 binary64))))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 27 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))) (.f64 (-.f64 (fma.f64 beta beta #s(literal 9 binary64)) (.f64 beta #s(literal 3 binary64))) (-.f64 (fma.f64 beta beta #s(literal 4 binary64)) (.f64 beta #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 27 binary64)) (fma.f64 beta beta #s(literal -4 binary64))) (.f64 (-.f64 (fma.f64 beta beta #s(literal 9 binary64)) (.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal -2 binary64))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) (.f64 (-.f64 #s(literal 1 binary64) alpha) (.f64 alpha alpha))) (.f64 (-.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal 1 binary64) alpha)))
(pow.f64 (/.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) #s(literal -1 binary64))
(.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 3 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) alpha))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 3 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (*.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) alpha))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(+.f64 (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (.f64 #s(literal 3 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)) (.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))
(+.f64 (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))
(fma.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))
(fma.f64 #s(literal 3 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(fma.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(fma.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 3 binary64) (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) alpha))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) alpha (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 3 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (.f64 (.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) #s(literal 2 binary64) (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) alpha))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) alpha (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64))) (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha))) (-.f64 #s(literal 3 binary64) alpha))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (fma.f64 alpha (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (-.f64 #s(literal 2 binary64) alpha))
(/.f64 (.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 #s(literal 3 binary64) alpha))
(.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))
(.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))

eval104.0ms (0.8%)

Memory: -0.7MiB live, 263.6MiB allocated
Compiler: Compiled 25 764 to 1 567 computations (93.9% saved)

prune105.0ms (0.8%)

Memory

13.2MiB live, 252.2MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	796	12	808
Fresh	7	16	23
Picked	2	3	5
Done	0	2	2
Total	805	33	838

Accuracy

99.7%

Counts

838 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	52.1%	(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta))) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	53.4%	(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	58.9%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	46.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha alpha #s(literal 1 binary64)) alpha))))
	49.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 beta beta) (+.f64 alpha #s(literal -1 binary64)))))
	92.9%	#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 2 binary64))) #s(approx (* (+ beta 3) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))))
	53.3%	#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))
	88.2%	#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)))))
	74.7%	#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 #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	42.0%	#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)) (.f64 beta (.f64 beta beta)))))
	50.8%	#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 (+.f64 #s(literal 3 binary64) alpha) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
✓	51.9%	#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) alpha) (*.f64 beta beta)))
	50.8%	#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) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	49.2%	#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) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	48.3%	#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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64)))))
	48.0%	#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) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 12 binary64))))
	51.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (+.f64 alpha #s(literal -1 binary64))))
	54.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ beta 1) (+ beta 2)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))))
	47.2%	#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)))
	47.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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))))
	47.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	47.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))))
✓	48.1%	#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)))
	48.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	48.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #s(literal 1/12 binary64))))
✓	33.5%	#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 beta) beta)))
✓	32.9%	#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))))
✓	32.8%	#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 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha))))
	27.2%	#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 (fma.f64 (/.f64 #s(literal 1 binary64) alpha) beta beta) (.f64 beta (*.f64 beta beta))) alpha)))
	32.9%	#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 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
	51.8%	#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))))))
	47.1%	#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 (.f64 beta beta) alpha))))))

Compiler

Compiled 1 987 to 552 computations (72.2% saved)

regimes74.0ms (0.6%)

Memory

-2.0MiB live, 130.5MiB allocated

Counts

79 → 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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #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 (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 #s(literal -1/36 binary64) beta #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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #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))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 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)) #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)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha #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 (/.f64 #s(literal 1 binary64) (.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 alpha 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 (/ (+ beta 1) (+ beta 2)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 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) (.f64 beta beta)) (+.f64 alpha #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 #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 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 (.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha #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 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.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 alpha) (* beta beta)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #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 #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) (/.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 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #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 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 beta beta) (+.f64 alpha #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 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.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) (.f64 alpha alpha)) (.f64 (*.f64 beta beta) (-.f64 #s(literal 1 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 #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 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 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) 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)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(approx (* (+ beta 3) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 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 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 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)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (+.f64 alpha #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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha alpha #s(literal 1 binary64)) alpha))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 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)) #s(approx (/ (+ 1 alpha) (* 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)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (-.f64 #s(literal 1 binary64) alpha)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3)))) (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha))) (.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) 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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (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 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(.f64 #s(approx (/ (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 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))) (*.f64 (+.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 (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 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta)))
(.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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #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) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.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 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 alpha (+.f64 beta #s(literal 3 binary64)))))
(.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 3 binary64))))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 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 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta))) beta)) (+.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 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha 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 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (+.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 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.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 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))
(/.f64 (/.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 (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 (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 alpha beta) #s(literal -4 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (+.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)))) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 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 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

Calls

3 calls:

26.0ms

alpha

24.0ms

beta

20.0ms

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

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes61.0ms (0.5%)

Memory

-0.3MiB live, 116.8MiB allocated

Counts

71 → 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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #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 (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 #s(literal -1/36 binary64) beta #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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #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))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 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)) #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)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha #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 (/.f64 #s(literal 1 binary64) (.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 alpha 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 (/ (+ beta 1) (+ beta 2)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 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) (.f64 beta beta)) (+.f64 alpha #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 #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 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 (.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha #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 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.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 alpha) (* beta beta)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #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 #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) (/.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 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #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 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 beta beta) (+.f64 alpha #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 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.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) (.f64 alpha alpha)) (.f64 (*.f64 beta beta) (-.f64 #s(literal 1 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 #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 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 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) 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)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(approx (* (+ beta 3) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 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 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 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)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (+.f64 alpha #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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha alpha #s(literal 1 binary64)) alpha))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 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)) #s(approx (/ (+ 1 alpha) (* 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)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (-.f64 #s(literal 1 binary64) alpha)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3)))) (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha))) (.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) 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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (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 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(.f64 #s(approx (/ (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 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))) (*.f64 (+.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 (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 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta)))
(.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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #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) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.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 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 alpha (+.f64 beta #s(literal 3 binary64)))))
(.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 3 binary64))))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 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 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

3 calls:

19.0ms

alpha

18.0ms

beta

16.0ms

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

Results

Accuracy	Segments	Branch
99.4%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
99.5%	2	`alpha`
99.5%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes49.0ms (0.4%)

Memory

-21.1MiB live, 20.6MiB allocated

Counts

69 → 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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #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 (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 #s(literal -1/36 binary64) beta #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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #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))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 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)) #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)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha #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 (/.f64 #s(literal 1 binary64) (.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 alpha 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 (/ (+ beta 1) (+ beta 2)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 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) (.f64 beta beta)) (+.f64 alpha #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 #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 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 (.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha #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 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.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 alpha) (* beta beta)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #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 #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) (/.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 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #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 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 beta beta) (+.f64 alpha #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 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.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) (.f64 alpha alpha)) (.f64 (*.f64 beta beta) (-.f64 #s(literal 1 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 #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 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 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) 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)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(approx (* (+ beta 3) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 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 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 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)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (+.f64 alpha #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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha alpha #s(literal 1 binary64)) alpha))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 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)) #s(approx (/ (+ 1 alpha) (* 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)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (-.f64 #s(literal 1 binary64) alpha)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3)))) (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha))) (.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) 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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (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 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(.f64 #s(approx (/ (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 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))) (*.f64 (+.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 (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 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta)))
(.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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #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) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.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 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 alpha (+.f64 beta #s(literal 3 binary64)))))
(.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 3 binary64))))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 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)))))

Outputs

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

Calls

1 calls:

45.0ms

beta

Results

Accuracy	Segments	Branch
99.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes52.0ms (0.4%)

Memory

3.0MiB live, 40.5MiB allocated

Counts

68 → 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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #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 (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 #s(literal -1/36 binary64) beta #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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #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))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 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)) #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)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha #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 (/.f64 #s(literal 1 binary64) (.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 alpha 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 (/ (+ beta 1) (+ beta 2)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 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) (.f64 beta beta)) (+.f64 alpha #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 #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 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 (.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha #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 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.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 alpha) (* beta beta)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #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 #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) (/.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 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #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 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 beta beta) (+.f64 alpha #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 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.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) (.f64 alpha alpha)) (.f64 (*.f64 beta beta) (-.f64 #s(literal 1 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 #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 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 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) 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)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(approx (* (+ beta 3) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 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 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 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)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (+.f64 alpha #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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha alpha #s(literal 1 binary64)) alpha))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 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)) #s(approx (/ (+ 1 alpha) (* 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)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (-.f64 #s(literal 1 binary64) alpha)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3)))) (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha))) (.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) 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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (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 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(.f64 #s(approx (/ (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 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))) (*.f64 (+.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 (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 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta)))
(.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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #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) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.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 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 alpha (+.f64 beta #s(literal 3 binary64)))))
(.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 3 binary64))))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 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)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

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

Calls

2 calls:

31.0ms	alpha
17.0ms	beta

Results

Accuracy	Segments	Branch
99.5%	2	`alpha`
99.5%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes47.0ms (0.4%)

Memory

17.6MiB live, 55.2MiB allocated

Counts

65 → 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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #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 (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 #s(literal -1/36 binary64) beta #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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #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))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 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)) #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)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha #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 (/.f64 #s(literal 1 binary64) (.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 alpha 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 (/ (+ beta 1) (+ beta 2)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 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) (.f64 beta beta)) (+.f64 alpha #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 #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 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 (.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha #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 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.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 alpha) (* beta beta)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #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 #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) (/.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 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #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 (fma.f64 alpha alpha #s(literal -1 binary64)) (.f64 (.f64 beta beta) (+.f64 alpha #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 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.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) (.f64 alpha alpha)) (.f64 (*.f64 beta beta) (-.f64 #s(literal 1 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 #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 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 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) 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)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(approx (* (+ beta 3) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 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 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 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)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))) (+.f64 alpha #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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha alpha #s(literal 1 binary64)) alpha))))
(/.f64 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 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)) #s(approx (/ (+ 1 alpha) (* 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)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (-.f64 #s(literal 1 binary64) alpha)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/ (+ (+ alpha beta) -2) (+ alpha (+ beta 3)))) (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal -2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 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 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha))) (.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) 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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (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 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(.f64 #s(approx (/ (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 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))) (*.f64 (+.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 (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 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta)))
(.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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #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) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.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))))

Outputs

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

Calls

2 calls:

27.0ms	alpha
17.0ms	beta

Results

Accuracy	Segments	Branch
98.8%	2	`alpha`
99.4%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes64.0ms (0.5%)

Memory

-0.0MiB live, 38.2MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

47.0ms

beta

14.0ms

(/.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
98.6%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
99.4%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes38.0ms (0.3%)

Memory

-25.4MiB live, 17.7MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

34.0ms

beta

Results

Accuracy	Segments	Branch
99.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

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

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)))

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

Calls

1 calls:

15.0ms

beta

Results

Accuracy	Segments	Branch
99.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes43.0ms (0.3%)

Memory

-2.0MiB live, 36.0MiB allocated

Counts

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

Calls

1 calls:

39.0ms

beta

Results

Accuracy	Segments	Branch
99.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-10.3MiB live, 28.3MiB allocated

Counts

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

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)))))

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

Calls

1 calls:

19.0ms

beta

Results

Accuracy	Segments	Branch
99.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

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

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:

10.0ms

beta

Results

Accuracy	Segments	Branch
99.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes90.0ms (0.7%)

Memory

-32.2MiB live, 48.2MiB 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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #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 (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 #s(literal -1/36 binary64) beta #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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #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))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 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)) #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)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha #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 (/.f64 #s(literal 1 binary64) (.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 alpha 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 (/ (+ beta 1) (+ beta 2)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 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) (.f64 beta beta)) (+.f64 alpha #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 #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 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 (.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha #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 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.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 alpha) (* beta beta)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #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)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.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

3 calls:

43.0ms

beta

37.0ms

(/.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)))

8.0ms

alpha

Results

Accuracy	Segments	Branch
97.4%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
84.4%	2	`alpha`
97.9%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes9.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

24 → 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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #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 (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 #s(literal -1/36 binary64) beta #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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #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))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 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)) #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)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha #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 (/.f64 #s(literal 1 binary64) (.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 alpha 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 (/ (+ beta 1) (+ beta 2)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 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) (.f64 beta beta)) (+.f64 alpha #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 #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 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 (.f64 beta 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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha (fma.f64 alpha #s(literal 7 binary64) #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 (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:

7.0ms

beta

Results

Accuracy	Segments	Branch
97.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB 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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #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 (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (fma.f64 #s(literal -1/36 binary64) beta #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 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #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))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) #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 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)) #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)) #s(approx (/ (/ (+ beta 1) (+ beta 2)) (* (+ beta 3) (+ beta 2))) (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) alpha) #s(approx (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 alpha #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 (/.f64 #s(literal 1 binary64) (.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 alpha 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 (/ (+ beta 1) (+ beta 2)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 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) (.f64 beta beta)) (+.f64 alpha #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 #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:

6.0ms

beta

5.0ms

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

Results

Accuracy	Segments	Branch
97.0%	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)))`
96.5%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes43.0ms (0.3%)

Memory

-18.7MiB live, 20.8MiB allocated

Counts

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

38.0ms

beta

4.0ms

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

Results

Accuracy	Segments	Branch
91.8%	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)))`
91.8%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes5.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

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

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:

4.0ms

beta

Results

Accuracy	Segments	Branch
91.8%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-13.9MiB live, 25.5MiB allocated

Counts

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

Calls

3 calls:

4.0ms

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

3.0ms

alpha

3.0ms

beta

Results

Accuracy	Segments	Branch
62.6%	2	`alpha`
78.5%	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)))`
78.5%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes10.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

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

Calls

3 calls:

3.0ms

alpha

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
48.1%	1	`alpha`
48.1%	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)))`
48.1%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes5.0ms (0%)

Memory

-28.8MiB live, 9.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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)))

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

1.0ms

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

1.0ms

beta

Results

Accuracy	Segments	Branch
48.1%	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)))`
48.1%	1	`alpha`
48.1%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch5.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	111699717.11910746	235579100944.04147

Samples

2.0ms

32×

valid

Compiler

Compiled 184 to 99 computations (46.2% saved)

Precisions

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

ival-add: 1.0ms (62% 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)

bsearch10.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	27844511174898376.0	82991914865370690.0

Samples

6.0ms

80×

valid

Compiler

Compiled 325 to 189 computations (41.8% saved)

Precisions

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

ival-add: 2.0ms (50% of total)

ival-div: 1.0ms (25% of total)

ival-mult: 1.0ms (25% 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

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	27844511174898376.0	82991914865370690.0

Compiler

Compiled 325 to 184 computations (43.4% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	27844511174898376.0	82991914865370690.0

Compiler

Compiled 280 to 159 computations (43.2% saved)

bsearch5.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.4343315069900496e+62	3.909495863705114e+62

Samples

2.0ms

32×

valid

Compiler

Compiled 136 to 75 computations (44.9% saved)

Precisions

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

ival-div: 1.0ms (61.5% of total)

ival-add: 1.0ms (61.5% 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)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	27844511174898376.0	82991914865370690.0

Compiler

Compiled 280 to 159 computations (43.2% saved)

bsearch31.0ms (0.2%)

Memory

-61.6MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	27844511174898376.0	82991914865370690.0

Compiler

Compiled 280 to 159 computations (43.2% saved)

bsearch19.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	235579100944.04147	27844511174898376.0

Samples

10.0ms

144×

valid

Compiler

Compiled 436 to 262 computations (39.9% saved)

Precisions

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

ival-add: 3.0ms (41.1% of total)

ival-div: 2.0ms (27.4% of total)

ival-mult: 2.0ms (27.4% 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

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	235579100944.04147	27844511174898376.0

Compiler

Compiled 373 to 244 computations (34.6% saved)

bsearch55.0ms (0.4%)

Memory

-18.9MiB live, 20.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	235579100944.04147	27844511174898376.0

Samples

49.0ms

96×

valid

Compiler

Compiled 337 to 217 computations (35.6% saved)

Precisions

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

ival-div: 44.0ms (93.6% of total)

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

ival-mult: 1.0ms (2.1% 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

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	235579100944.04147	27844511174898376.0

Compiler

Compiled 301 to 190 computations (36.9% saved)

bsearch18.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.056713768920331	111699717.11910746

Samples

10.0ms

144×

valid

Compiler

Compiled 283 to 181 computations (36% saved)

Precisions

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

ival-add: 3.0ms (41.4% of total)

ival-div: 2.0ms (27.6% of total)

ival-mult: 2.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.3%)

Memory

-23.5MiB live, 14.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	1.7374233953732137	5.056713768920331

Samples

6.0ms

80×

valid

Compiler

Compiled 170 to 104 computations (38.8% saved)

Precisions

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

ival-add: 2.0ms (46.1% of total)

ival-div: 1.0ms (23.1% of total)

ival-mult: 1.0ms (23.1% 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

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7374233953732137	5.056713768920331

Compiler

Compiled 170 to 104 computations (38.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7374233953732137	5.056713768920331

Compiler

Compiled 165 to 99 computations (40% saved)

bsearch15.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.02653336371726075	1.7374233953732137

Samples

8.0ms

112×

valid

Compiler

Compiled 194 to 117 computations (39.7% saved)

Precisions

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

ival-add: 3.0ms (50.4% of total)

ival-div: 2.0ms (33.6% of total)

ival-mult: 1.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

-30.6MiB live, 7.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7374233953732137	5.056713768920331

Samples

13.0ms

32×

valid

Compiler

Compiled 150 to 84 computations (44% saved)

Precisions

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

ival-add: 11.0ms (89.6% of total)

ival-div: 1.0ms (8.1% 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)

simplify23.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative_binary64`
36×	`unsub-neg_binary64`
36×	`neg-mul-1_binary64`
32×	`*-commutative_binary64`
16×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	1509
1	205	1509
2	220	1509
3	236	1509
4	252	1509
5	281	1509
6	324	1509
7	328	1509

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 10000000000 binary64)) (/.f64 (.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 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 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta))) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 80000000000000000 binary64)) (/.f64 (.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 80000000000000000 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 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 80000000000000000 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 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 379999999999999983621606798300046931562757043084086100537376768 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 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 80000000000000000 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(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 80000000000000000 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 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 3500000000000000 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 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 3500000000000000 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(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 27000000000000000 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 #s(approx (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ alpha (+ beta 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 27000000000000000 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)))
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#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* (+ 3 alpha) (* (+ 2 alpha) (+ 2 alpha)))) (fma.f64 #s(literal -1/36 binary64) alpha #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))) #s(literal 1/12 binary64)))

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

soundness1.3s (9.9%)

Memory

-0.3MiB live, 1 313.4MiB allocated

Rules

7 888×	`lower-fma.f64`
7 888×	`lower-fma.f32`
7 252×	`lower-+.f64`
7 252×	`lower-+.f32`
6 896×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	14856
1	1630	14194
2	6287	14172
0	8116	13167
0	1376	22897
1	4810	22236
0	8196	20826
0	14	80
0	26	76
1	123	68
2	1161	68
0	8168	64
0	1993	26104
1	6992	26104
0	8041	24429
0	46	347
0	79	319
1	388	295
2	3467	295
0	9048	295
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×	node limit

Compiler

Compiled 1 866 to 745 computations (60.1% saved)

preprocess101.0ms (0.8%)

Memory: 14.1MiB live, 249.5MiB allocated
Compiler: Compiled 1 506 to 340 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.2s (9.6%)

preprocess960.0ms (7.5%)

explain227.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify773.0ms (6%)

localize44.0ms (0.3%)

series29.0ms (0.2%)

simplify406.0ms (3.2%)

rewrite371.0ms (2.9%)

eval89.0ms (0.7%)

prune79.0ms (0.6%)

simplify533.0ms (4.2%)

localize459.0ms (3.6%)

series89.0ms (0.7%)

simplify721.0ms (5.6%)

rewrite485.0ms (3.8%)

eval292.0ms (2.3%)

prune278.0ms (2.2%)

simplify324.0ms (2.5%)

localize176.0ms (1.4%)

series52.0ms (0.4%)

simplify544.0ms (4.3%)

rewrite321.0ms (2.5%)

eval239.0ms (1.9%)

prune156.0ms (1.2%)

simplify417.0ms (3.3%)

localize133.0ms (1%)

series18.0ms (0.1%)

simplify476.0ms (3.7%)

rewrite381.0ms (3%)

eval104.0ms (0.8%)

prune105.0ms (0.8%)

regimes74.0ms (0.6%)

regimes61.0ms (0.5%)

regimes49.0ms (0.4%)

regimes52.0ms (0.4%)

regimes47.0ms (0.4%)

regimes64.0ms (0.5%)

regimes38.0ms (0.3%)

regimes18.0ms (0.1%)

regimes43.0ms (0.3%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

regimes90.0ms (0.7%)

regimes9.0ms (0.1%)

regimes13.0ms (0.1%)

regimes43.0ms (0.3%)

regimes5.0ms (0%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

bsearch5.0ms (0%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

bsearch31.0ms (0.2%)

bsearch19.0ms (0.1%)

bsearch1.0ms (0%)

bsearch55.0ms (0.4%)

bsearch1.0ms (0%)

bsearch18.0ms (0.1%)

bsearch41.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch15.0ms (0.1%)

simplify23.0ms (0.2%)

soundness1.3s (9.9%)

preprocess101.0ms (0.8%)

end0.0ms (0%)

Profiling