Metrics for Octave 3.8, jcobi/3

analyze2.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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)

sample1.4s (11%)

Memory

31.5MiB live, 1 505.5MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 791.0ms

ival-add: 335.0ms (42.4% of total)

ival-div: 280.0ms (35.4% of total)

ival-mult: 100.0ms (12.7% of total)

ival->: 50.0ms (6.3% of total)

exact: 13.0ms (1.6% of total)

ival-and: 10.0ms (1.3% of total)

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

Bogosity

preprocess999.0ms (7.9%)

Memory

-14.3MiB live, 1 103.6MiB allocated

Algorithm

1×	egg-herbie

Rules

26 544×	`lower-fma.f64`
26 544×	`lower-fma.f32`
11 564×	`lower-+.f32`
11 554×	`lower-+.f64`
10 674×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	149
1	112	137
2	432	135
3	2612	127
4	6396	127
0	14	29
0	26	27
1	47	27
2	124	27
3	604	25
4	4042	25
5	4703	25
6	4866	25
7	4985	25
8	5043	25
9	5043	25
10	5406	25
11	5568	25
12	5713	25
13	5713	25
14	5713	25
15	5821	25
16	5855	25
17	5856	25
18	5856	25
19	6004	25
20	6018	25
21	6032	25
22	6032	25
0	12880	25

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

explain178.0ms (1.4%)

Memory

-6.5MiB live, 466.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
12	-	-	`(/.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	12	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))`	overflow	12
↳	`(*.f64 beta alpha)`	overflow	12
↳	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))`	overflow	12

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	0	0	244

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	510×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 322 to 60 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 15.0ms (48.3% of total)

ival-div: 8.0ms (25.7% of total)

ival-mult: 7.0ms (22.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(/.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)))

Status

Accuracy

Program

▶

95.2%

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

simplify848.0ms (6.7%)

Memory

23.0MiB live, 1 315.7MiB 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)))

localize39.0ms (0.3%)

Memory

-3.6MiB live, 73.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	95.4%	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))

Samples

22.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions

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

ival-add: 6.0ms (43.5% of total)

ival-div: 5.0ms (36.2% of total)

ival-mult: 3.0ms (21.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory

4.7MiB live, 39.9MiB allocated

Counts

5 → 96

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))))>

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

Calls

24 calls:

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

rewrite689.0ms (5.4%)

Memory

1.3MiB live, 439.6MiB 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	73
0	26	69
1	123	61
2	1161	61
0	8168	58

Stop Event

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

Counts

5 → 306

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))))

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

simplify443.0ms (3.5%)

Memory

14.7MiB live, 725.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 140×	`lower-+.f64`
7 140×	`lower-+.f32`
6 772×	`lower-fma.f64`
6 772×	`lower-fma.f32`
4 944×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

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

eval118.0ms (0.9%)

Memory: -53.9MiB live, 128.5MiB allocated
Compiler: Compiled 19 939 to 1 603 computations (92% saved)

prune64.0ms (0.5%)

Memory

10.6MiB live, 168.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	384	16	400
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	16	401

Accuracy

100.0%

Counts

401 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))))))
▶	93.5%	(/.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)))))
▶	54.9%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	94.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	62.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	51.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	55.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	85.7%	(/.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)))))
	87.2%	(/.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))))
	3.2%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
	48.5%	(/.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)))
▶	53.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	93.5%	(/.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)))
	94.4%	(/.f64 (.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 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)))
	93.5%	(/.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))))
	85.7%	(.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))

Compiler

Compiled 874 to 446 computations (49% saved)

simplify292.0ms (2.3%)

Memory

-5.4MiB live, 469.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	cost-diff	704	(+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))
✓	cost-diff	1024	(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))
✓	cost-diff	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 (+.f64 #s(literal 1 binary64) alpha) beta)
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Rules

10 432×	`lower-fma.f32`
10 428×	`lower-fma.f64`
3 434×	`lower-+.f32`
3 410×	`lower-+.f64`
2 942×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	356
0	77	342
1	141	342
2	362	342
3	1740	339
4	2405	339
5	3037	325
6	5821	319
0	8204	316

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1%)

Memory

40.0MiB live, 192.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))
✓	accuracy	99.8%	(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.8%	(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))
✓	accuracy	100.0%	(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	97.2%	(/.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	95.4%	(/.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 #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓	accuracy	99.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	97.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	69.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Samples

70.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 392 to 44 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 17.0ms (37.4% of total)

ival-add: 17.0ms (37.4% of total)

ival-mult: 9.0ms (19.8% of total)

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

exact: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

series72.0ms (0.6%)

Memory

-8.7MiB live, 66.8MiB allocated

Counts

21 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
14.0ms	alpha	@	-inf	(+ (+ (+ alpha beta) (* 2 1)) 1)
5.0ms	alpha	@	inf	(/ (+ (+ (+ 1 alpha) (+ (/ 1 beta) (/ alpha beta))) (* (- -1 alpha) (/ (+ (* 2 alpha) 4) beta))) beta)
3.0ms	alpha	@	inf	(/ (/ (+ (+ (+ 1 alpha) (+ (/ 1 beta) (/ alpha beta))) (* (- -1 alpha) (/ (+ (* 2 alpha) 4) beta))) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
3.0ms	beta	@	-inf	(/ (/ (+ 1 alpha) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
1.0ms	alpha	@	0	(/ (/ (+ (+ (+ 1 alpha) (+ (/ 1 beta) (/ alpha beta))) (* (- -1 alpha) (/ (+ (* 2 alpha) 4) beta))) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))

rewrite311.0ms (2.5%)

Memory

17.1MiB live, 480.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 858×	`lower-/.f32`
4 834×	`lower-/.f64`
3 506×	`lower-*.f32`
3 498×	`lower-*.f64`
2 848×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	241
0	77	225
1	376	215
2	4080	215
0	8634	212

Stop Event

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

Counts

21 → 888

Calls

Call 1

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

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

simplify461.0ms (3.6%)

Memory

25.1MiB live, 577.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 484×	`lower-fma.f64`
5 484×	`lower-fma.f32`
5 334×	`lower-+.f64`
5 334×	`lower-+.f32`
4 286×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1291	10548
1	4377	10113
0	8128	9739

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 420

Calls

Call 1

Inputs
(/ 1/4 (+ 3 alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
1/4
(+ 1/4 (* -1/16 (pow beta 2)))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(/ 1 beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
(/ 1 (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))
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(+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta)))))
(+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta)))))
(+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta)))))
(+ 1 alpha)
(+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) beta))))
(+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) beta))))
(+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) beta))))
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (* -1 alpha) 1) beta))
(/ 1 beta)
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ (- 1 (* 3 (/ 1 beta))) (* beta (+ 3 beta)))
(- (+ (* alpha (- (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (/ 1 (* beta (+ 3 beta)))) (+ (* 5 (/ 1 (* (pow beta 2) (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2)))))) (/ 1 (* beta (+ 3 beta)))) (/ 3 (* (pow beta 2) (+ 3 beta))))
(- (+ (* alpha (- (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (+ (* alpha (- (+ (* 5 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (/ 1 (* beta (pow (+ 3 beta) 3)))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 3 beta)))) (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 3)))) (/ 1 (* beta (pow (+ 3 beta) 2))))))) (/ 1 (* beta (+ 3 beta))))) (+ (* 5 (/ 1 (* (pow beta 2) (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2)))))) (/ 1 (* beta (+ 3 beta)))) (/ 3 (* (pow beta 2) (+ 3 beta))))
(- (+ (* alpha (- (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (+ (* alpha (- (+ (* 5 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (+ (* alpha (- (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 4)))) (/ 1 (* beta (pow (+ 3 beta) 3))))) (+ (* 5 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 3)))) (/ 1 (* beta (pow (+ 3 beta) 4)))))) (/ 1 (* beta (pow (+ 3 beta) 3))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 3 beta)))) (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 3)))) (/ 1 (* beta (pow (+ 3 beta) 2))))))) (/ 1 (* beta (+ 3 beta))))) (+ (* 5 (/ 1 (* (pow beta 2) (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2)))))) (/ 1 (* beta (+ 3 beta)))) (/ 3 (* (pow beta 2) (+ 3 beta))))
(* -2 (/ alpha (pow beta 2)))
(* alpha (- (/ 1 (* alpha beta)) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(* alpha (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (+ (/ 5 (* alpha (pow beta 2))) (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2)))))) (pow alpha 2))))))))
(* alpha (- (+ (* -1 (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* 3 (/ 1 (pow beta 2))) (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2))))))))) (pow alpha 3))) (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta)))) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (+ (/ 5 (* alpha (pow beta 2))) (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2)))))) (pow alpha 2))))))))
(* -2 (/ alpha (pow beta 2)))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta)) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2))))))) alpha)) (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta))) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ 3 beta) (- (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta)) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2)))))))) alpha)) (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta))) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2))))))) alpha))) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (pow beta 2) (+ 3 alpha)))
(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (* beta (- (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 3))) (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3)))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (* beta (- (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 3))) (+ (* beta (- (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 4))) (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4)))))) (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (* -1 (/ (* (+ 3 alpha) (- (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 3 alpha) 2) (- (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 3))))))) (+ (/ (* (+ 1 alpha) (+ 3 alpha)) beta) (/ (* (+ 3 alpha) (- (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 2)))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) beta)))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) (/ (* (+ 3 alpha) (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) beta)) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) (* -1 (/ (+ (* -1 (* (+ 3 alpha) (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha))))) (/ (* (pow (+ 3 alpha) 2) (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) beta)) beta))) beta)))) (pow beta 2))
4
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 beta)))
(+ 4 (* beta (+ 4 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (+ 2 beta) (+ 3 beta))
(+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (+ 2 alpha) (+ 3 alpha))
(+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(/ (- 1 (* 3 (/ 1 beta))) beta)
(- (+ (* alpha (- (/ 1 beta) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(- (+ (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta)) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(- (+ (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta)) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(* -2 (/ (pow alpha 2) (pow beta 2)))
(* (pow alpha 2) (- (/ 1 (* alpha beta)) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2))))))
(* (pow alpha 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(* (pow alpha 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(* -2 (/ (pow alpha 2) (pow beta 2)))
(* (pow alpha 2) (- (* -1 (/ (- (* 5 (/ 1 (pow beta 2))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 beta) (* 3 (/ 1 (pow beta 2)))) alpha)) (* 5 (/ 1 (pow beta 2)))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 beta) (* 3 (/ 1 (pow beta 2)))) alpha)) (* 5 (/ 1 (pow beta 2)))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/ (+ 1 alpha) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(/ -4 beta)
(- (* -6 (/ alpha beta)) (* 4 (/ 1 beta)))
(- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta)))
(- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta)))
(* -2 (/ (pow alpha 2) beta))
(* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta))))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* -2 (/ (pow alpha 2) beta))
(* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta))))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))

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

eval734.0ms (5.8%)

Memory: -133.1MiB live, 488.2MiB allocated
Compiler: Compiled 52 505 to 4 257 computations (91.9% saved)

prune271.0ms (2.1%)

Memory

10.9MiB live, 535.2MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1 503	27	1 530
Fresh	9	2	11
Picked	4	1	5
Done	0	0	0
Total	1 516	30	1 546

Accuracy

100.0%

Counts

1 546 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(/.f64 (fma.f64 (.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	85.7%	(/.f64 (fma.f64 beta alpha (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	54.9%	(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (+.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta)
▶	94.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
	94.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
	62.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	55.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta)
	51.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	50.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64)) (neg.f64 alpha)))
	55.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
	53.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) beta)))
▶	87.2%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
	59.6%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	48.5%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
▶	53.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
✓	53.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	32.0%	(/.f64 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha beta)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 beta beta)) (/.f64 #s(literal 5 binary64) (.f64 alpha (.f64 beta beta)))) (/.f64 #s(literal 3 binary64) (.f64 (.f64 beta beta) (.f64 alpha alpha))))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	55.4%	(/.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 alpha beta)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	33.5%	(/.f64 alpha (*.f64 beta beta))
	54.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	54.7%	(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
	51.4%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
▶	5.7%	(/.f64 #s(literal 1 binary64) beta)
	48.3%	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	46.4%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
	52.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
	53.0%	(.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
	52.1%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))

Compiler

Compiled 997 to 622 computations (37.6% saved)

simplify345.0ms (2.7%)

Memory

-16.6MiB live, 425.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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) beta)
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64)) (neg.f64 alpha)))
✓	cost-diff	1152	(*.f64 (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64)) (neg.f64 alpha))
✓	cost-diff	0	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))
✓	cost-diff	0	(+.f64 beta #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
✓	cost-diff	128	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(+.f64 beta #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	512	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))

Rules

12 216×	`lower-fma.f64`
12 216×	`lower-fma.f32`
2 788×	`lower-*.f32`
2 778×	`lower-*.f64`
2 232×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	192
0	53	182
1	117	182
2	317	182
3	994	182
4	3403	182
5	5151	182
0	8294	178

Stop Event

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

Calls

Call 1

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

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

localize92.0ms (0.7%)

Memory

34.1MiB live, 226.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal -3 binary64) beta) alpha)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓	accuracy	99.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64)) (neg.f64 alpha)))
✓	accuracy	77.1%	(*.f64 (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64)) (neg.f64 alpha))
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) 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 #s(literal 3 binary64) beta))
✓	accuracy	91.2%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	99.9%	(*.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	97.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.0%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))

Samples

49.0ms	239×	0	valid
5.0ms	15×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 194 to 32 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 14.0ms (37.4% of total)

ival-add: 12.0ms (32.1% of total)

ival-mult: 7.0ms (18.7% of total)

adjust: 1.0ms (2.7% of total)

ival-sub: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

series32.0ms (0.3%)

Memory

-23.0MiB live, 57.8MiB allocated

Counts

19 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	0	(/ (+ beta 1) (* (* (+ beta 2) (+ beta 2)) (+ 3 beta)))
2.0ms	alpha	@	0	(/ (- -3 beta) alpha)
2.0ms	alpha	@	inf	(+ 1 alpha)
1.0ms	beta	@	0	(/ (/ (+ 1 alpha) beta) (* (+ (/ (- -3 beta) alpha) -1) (neg alpha)))
1.0ms	beta	@	inf	(* (+ (/ (- -3 beta) alpha) -1) (neg alpha))

rewrite348.0ms (2.7%)

Memory

25.6MiB live, 504.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 370×	`lower-/.f32`
5 354×	`lower-/.f64`
3 788×	`lower-*.f32`
3 778×	`lower-*.f64`
2 446×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	143
0	53	137
1	266	135
2	2421	135
0	8718	135

Stop Event

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

Counts

19 → 938

Calls

Call 1

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

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

simplify445.0ms (3.5%)

Memory

-3.6MiB live, 666.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 508×	`lower-fma.f64`
7 508×	`lower-fma.f32`
5 226×	`lower-*.f64`
5 226×	`lower-*.f32`
4 216×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	700	4593
1	2299	4343
2	7977	4306
0	8424	4181

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 318

Calls

Call 1

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

Outputs
(/ 1/4 (+ 3 alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (neg.f64 beta) (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (fma.f64 beta (neg.f64 (fma.f64 beta (fma.f64 #s(literal -1/4 binary64) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 #s(literal 1/16 binary64) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))))) (fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 #s(literal -6 binary64) (neg.f64 alpha)) (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64)))) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 alpha beta))) (*.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) (.f64 (+.f64 alpha #s(literal 7 binary64)) (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 #s(literal -6 binary64) (neg.f64 alpha)) (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64)))))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 4 binary64))) (+.f64 alpha #s(literal 6 binary64)))) (.f64 beta (.f64 beta beta)))) (+.f64 (fma.f64 (+.f64 alpha #s(literal 6 binary64)) (neg.f64 (/.f64 (+.f64 alpha #s(literal 7 binary64)) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) (.f64 beta beta)))) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) (.f64 beta beta))))) (.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 #s(literal -6 binary64) (neg.f64 alpha))) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -4 binary64) #s(literal -4 binary64))) beta) (+.f64 #s(literal -6 binary64) (neg.f64 alpha))) beta)) (.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -4 binary64) #s(literal -4 binary64)) (neg.f64 (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (fma.f64 (-.f64 (.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 #s(literal -6 binary64) (neg.f64 alpha))) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -4 binary64) #s(literal -4 binary64))) (/.f64 (+.f64 alpha #s(literal 7 binary64)) beta) (/.f64 (fma.f64 alpha #s(literal -4 binary64) #s(literal -12 binary64)) beta))) (-.f64 (.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 #s(literal -6 binary64) (neg.f64 alpha))) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -4 binary64) #s(literal -4 binary64)))) (neg.f64 beta)) (+.f64 #s(literal -6 binary64) (neg.f64 alpha))) beta)) (*.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 #s(literal 3 binary64) beta))))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta))))) (fma.f64 alpha (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (/.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+.f64 (fma.f64 alpha (-.f64 (/.f64 (fma.f64 alpha (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (/.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(fma.f64 alpha (fma.f64 alpha (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) beta) #s(literal 4 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) beta) #s(literal 4 binary64))))) (neg.f64 alpha) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))) (+.f64 #s(literal 3 binary64) beta))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta))))))
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
(/.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (/.f64 (+.f64 #s(literal 3 binary64) beta) (.f64 alpha (.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 beta #s(literal 2 binary64)))))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 3 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) alpha)) alpha)
(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
(/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (/.f64 (.f64 (+.f64 #s(literal 3 binary64) beta) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 alpha (.f64 alpha alpha))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (-.f64 (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) beta)) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))) (.f64 alpha (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))))) alpha)
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
(neg.f64 (-.f64 (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) beta)) (.f64 alpha (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 3 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) alpha)) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(/.f64 (-.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (-.f64 (/.f64 (neg.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) beta) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (.f64 alpha alpha)) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) beta)) (.f64 alpha (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 alpha))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal -1 binary64) beta)))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 beta beta))) (-.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 4 binary64) (.f64 beta (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta)) beta))
1
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(* beta (+ 1 (/ 1 beta)))
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(* beta (+ 1 (/ 1 beta)))
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(* beta (+ 1 (/ 1 beta)))
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(/ (+ 1 alpha) (* beta (+ 3 alpha)))
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(/ (+ (* beta (- (/ (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))) (+ 3 alpha)) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
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(/ (+ (* beta (- (* beta (- (* -1 (* beta (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))) (+ 3 alpha))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
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(/ (+ 1 alpha) (pow beta 2))
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(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) (pow beta 2))
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(/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
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(/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))) (pow beta 2))
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(/ (+ 1 alpha) (pow beta 2))
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(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) (pow beta 2))
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(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) beta)) (* (+ 1 alpha) (pow (+ 3 alpha) 2))) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) (pow beta 2))
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1
#s(literal 1 binary64)
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alpha
(* alpha (+ 1 (/ 1 alpha)))
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(* alpha (+ 1 (/ 1 alpha)))
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(* alpha (+ 1 (/ 1 alpha)))
(+.f64 alpha #s(literal 1 binary64))
alpha
(* alpha (+ 1 (/ 1 alpha)))
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(* beta (+ 3 beta))
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alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
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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
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4
#s(literal 4 binary64)
(+ 4 (* 4 beta))
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1/12
#s(literal 1/12 binary64)
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(* (+ 2 beta) (+ 3 beta))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta))
(+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(* alpha (+ 2 beta))
(*.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))
(*.f64 alpha (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal 2 binary64))))
(* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))
(*.f64 alpha (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal 2 binary64))))
(* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))
(*.f64 alpha (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal 2 binary64))))
(* alpha (+ 2 beta))
(*.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))
(*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 alpha))
(* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))
(*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 alpha))
(* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))
(*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 alpha))
(* 2 (+ 3 alpha))
(fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64))
(+ (* 2 (+ 3 alpha)) (* beta (+ 5 alpha)))
(fma.f64 beta (+.f64 alpha #s(literal 5 binary64)) (fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64)))
(+ (* 2 (+ 3 alpha)) (* beta (+ 5 (+ alpha beta))))
(fma.f64 beta (+.f64 alpha (+.f64 #s(literal 5 binary64) beta)) (fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64)))
(+ (* 2 (+ 3 alpha)) (* beta (+ 5 (+ alpha beta))))
(fma.f64 beta (+.f64 alpha (+.f64 #s(literal 5 binary64) beta)) (fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64)))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ alpha beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 5 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (+ 3 alpha) (pow beta 2))) (+ (* 5 (/ 1 beta)) (/ alpha beta)))))
(.f64 beta (.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 5 binary64) beta)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64)) (*.f64 beta beta))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (+ 3 alpha) (pow beta 2))) (+ (* 5 (/ 1 beta)) (/ alpha beta)))))
(.f64 beta (.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 5 binary64) beta)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64)) (*.f64 beta beta))))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (+ 3 alpha)) 2) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal -3 binary64) (neg.f64 alpha)) #s(literal -2 binary64)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -2 (/ (+ 3 alpha) beta)) (* -1 (+ 3 alpha))) 2) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -6 binary64)) beta) (+.f64 #s(literal 3 binary64) alpha))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -2 (/ (+ 3 alpha) beta)) (* -1 (+ 3 alpha))) 2) beta))))
(.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -6 binary64)) beta) (+.f64 #s(literal 3 binary64) alpha))) beta)))
3
#s(literal 3 binary64)
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 #s(literal 3 binary64) beta)
(/ -3 alpha)
(/.f64 #s(literal -3 binary64) alpha)
(- (* -1 (/ beta alpha)) (* 3 (/ 1 alpha)))
(+.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 #s(literal -3 binary64) alpha))
(- (* -1 (/ beta alpha)) (* 3 (/ 1 alpha)))
(+.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 #s(literal -3 binary64) alpha))
(- (* -1 (/ beta alpha)) (* 3 (/ 1 alpha)))
(+.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 #s(literal -3 binary64) alpha))
(* -1 (/ beta alpha))
(/.f64 beta (neg.f64 alpha))
(* -1 (* beta (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(neg.f64 (fma.f64 beta (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 beta alpha)))
(* -1 (* beta (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(neg.f64 (fma.f64 beta (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 beta alpha)))
(* -1 (* beta (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(neg.f64 (fma.f64 beta (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 beta alpha)))
(* -1 (/ beta alpha))
(/.f64 beta (neg.f64 alpha))
(* -1 (* beta (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(neg.f64 (fma.f64 beta (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 beta alpha)))
(* -1 (* beta (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(neg.f64 (fma.f64 beta (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 beta alpha)))
(* -1 (* beta (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(neg.f64 (fma.f64 beta (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 beta alpha)))
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)
(* -1 (/ (+ 3 beta) alpha))
(/.f64 (+.f64 (neg.f64 beta) #s(literal -3 binary64)) alpha)

eval238.0ms (1.9%)

Memory: -11.1MiB live, 429.3MiB allocated
Compiler: Compiled 38 941 to 4 063 computations (89.6% saved)

prune243.0ms (1.9%)

Memory

13.9MiB live, 442.0MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 456	15	1 471
Fresh	6	18	24
Picked	3	2	5
Done	0	1	1
Total	1 465	36	1 501

Accuracy

100.0%

Counts

1 501 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(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))
	44.9%	(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	44.9%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	85.7%	(/.f64 (fma.f64 beta alpha (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	54.9%	(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (+.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta)
▶	94.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
	62.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	55.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta)
	51.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	44.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (.f64 (+.f64 (/.f64 (-.f64 alpha (.f64 (/.f64 alpha #s(literal -3 binary64)) beta)) (*.f64 (/.f64 alpha #s(literal -3 binary64)) alpha)) #s(literal -1 binary64)) (neg.f64 alpha)))
	55.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	36.1%	(/.f64 (/.f64 alpha beta) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64)) (neg.f64 alpha)))
▶	87.2%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
▶	46.0%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	87.2%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
	43.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
	59.6%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	48.5%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
✓	53.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	53.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
✓	53.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	55.4%	(/.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 alpha beta)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	33.5%	(/.f64 alpha (*.f64 beta beta))
	54.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	58.1%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
	54.7%	(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
	51.4%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓	5.7%	(/.f64 #s(literal 1 binary64) beta)
	78.6%	(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
	48.3%	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	46.4%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
	53.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) alpha))
	52.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
▶	52.1%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
▶	45.7%	#s(literal 1/12 binary64)

Compiler

Compiled 971 to 639 computations (34.2% saved)

simplify269.0ms (2.1%)

Memory

24.2MiB live, 468.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.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	(fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))
✓	cost-diff	0	(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
✓	cost-diff	0	(+.f64 beta #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓	cost-diff	0	(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
✓	cost-diff	0	(+.f64 beta #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
✓	cost-diff	128	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Rules

6 424×	`lower-fma.f32`
6 418×	`lower-fma.f64`
5 296×	`lower-*.f32`
5 288×	`lower-*.f64`
1 628×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	152
0	50	152
1	98	152
2	181	148
3	339	144
4	852	140
5	2417	140
6	3878	140
7	5011	140
8	5798	140
9	6074	140
10	6327	140
11	6718	140
12	7300	140
0	8087	138

Stop Event

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

Calls

Call 1

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

localize90.0ms (0.7%)

Memory

-13.7MiB live, 173.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓	accuracy	87.8%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
✓	accuracy	87.7%	(.f64 alpha (.f64 beta beta))
✓	accuracy	78.1%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (*.f64 beta beta))))
✓	accuracy	100.0%	(+.f64 beta #s(literal 7 binary64))
✓	accuracy	100.0%	(+.f64 beta #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
✓	accuracy	91.2%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓	accuracy	100.0%	(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
✓	accuracy	100.0%	(+.f64 beta #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.0%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Samples

54.0ms

256×

valid

Compiler

Compiled 161 to 33 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 12.0ms (30.8% of total)

ival-mult: 10.0ms (25.7% of total)

ival-div: 9.0ms (23.1% of total)

const: 8.0ms (20.6% of total)

exact: 1.0ms (2.6% of total)

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

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

series56.0ms (0.4%)

Memory

-18.4MiB live, 32.8MiB allocated

Counts

16 → 228

Calls

Call 1

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

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 4>
#<alt (+ 4 (* 4 beta))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 2/9 beta))>
#<alt (+ 1/3 (* beta (+ 2/9 (* -2/27 beta))))>
#<alt (+ 1/3 (* beta (+ 2/9 (* beta (- (* 2/81 beta) 2/27)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 6 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 6 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 18 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 6 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 6 (* 18 (/ 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 beta))>
#<alt (+ 1/12 (* beta (- (* 1/27 beta) 1/36)))>
#<alt (+ 1/12 (* beta (- (* beta (+ 1/27 (* -4/81 beta))) 1/36)))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 beta)))>
#<alt (- (+ 1/16 (* 1/64 (/ 1 beta))) (/ 3/256 (pow beta 2)))>
#<alt (- (+ 1/16 (+ (* 1/64 (/ 1 beta)) (* 9/1024 (/ 1 (pow beta 3))))) (/ 3/256 (pow beta 2)))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 beta)))>
#<alt (+ 1/16 (* -1 (/ (- (* 3/256 (/ 1 beta)) 1/64) beta)))>
#<alt (+ 1/16 (* -1 (/ (- (* -1 (/ (- (* 9/1024 (/ 1 beta)) 3/256) beta)) 1/64) beta)))>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt 12>
#<alt (+ 12 (* 16 beta))>
#<alt (+ 12 (* 16 beta))>
#<alt (+ 12 (* 16 beta))>
#<alt (* 16 beta)>
#<alt (* beta (+ 16 (* 12 (/ 1 beta))))>
#<alt (* beta (+ 16 (* 12 (/ 1 beta))))>
#<alt (* beta (+ 16 (* 12 (/ 1 beta))))>
#<alt (* 16 beta)>
#<alt (* beta (+ 16 (* 12 (/ 1 beta))))>
#<alt (* beta (+ 16 (* 12 (/ 1 beta))))>
#<alt (* beta (+ 16 (* 12 (/ 1 beta))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 beta))>
#<alt (+ 1/12 (* beta (- (* -5/432 beta) 1/36)))>
#<alt (+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))>
#<alt 12>
#<alt (+ 12 (* 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 16>
#<alt (+ 16 (* 7 beta))>
#<alt (+ 16 (* beta (+ 7 beta)))>
#<alt (+ 16 (* beta (+ 7 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ (+ 1 (/ 1 alpha)) (pow beta 2))>
#<alt (/ 1 (* alpha (pow beta 2)))>
#<alt (/ (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2))) alpha)>
#<alt (/ (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2))) alpha)>
#<alt (/ (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2))) alpha)>
#<alt (/ 1 (pow beta 2))>
#<alt (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))>
#<alt (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))>
#<alt (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))>
#<alt (/ 1 (pow beta 2))>
#<alt (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))>
#<alt (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))>
#<alt (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))>
#<alt (/ 1 (pow beta 2))>
#<alt (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))>
#<alt (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))>
#<alt (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))>
#<alt (/ alpha (pow beta 2))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (/ alpha (pow beta 2))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt 7>
#<alt (+ 7 beta)>
#<alt (+ 7 beta)>
#<alt (+ 7 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 7 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 7 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 7 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 7 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 7 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 7 (/ 1 beta))))>
#<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

57 calls:

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

rewrite388.0ms (3.1%)

Memory

58.3MiB live, 623.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 742×	`lower-*.f32`
4 734×	`lower-*.f64`
4 530×	`lower-/.f32`
4 518×	`lower-/.f64`
3 412×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	119
0	49	115
1	252	105
2	2245	103
0	8304	102

Stop Event

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

Counts

16 → 672

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (+.f64 beta #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -3 binary64) (neg.f64 beta))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) beta)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64))) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -3 binary64) (neg.f64 beta))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (neg.f64 (.f64 (+.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) (neg.f64 beta)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal -3 binary64) (neg.f64 beta))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 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 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 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 2 binary64)))) (/.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) beta)))
(/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (+.f64 beta #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -3 binary64) (neg.f64 beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
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(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (.f64 beta beta)) (.f64 (.f64 beta beta) (.f64 alpha #s(literal -1 binary64)))) (.f64 (.f64 beta beta) (neg.f64 (*.f64 beta beta))))
(/.f64 (+.f64 beta (.f64 (.f64 beta beta) (.f64 alpha (/.f64 #s(literal 1 binary64) beta)))) (.f64 beta (*.f64 beta beta)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (.f64 beta beta)) (.f64 (.f64 beta beta) (.f64 #s(literal -1 binary64) alpha))) (.f64 (.f64 beta beta) (neg.f64 (*.f64 beta beta))))
(/.f64 (+.f64 beta (.f64 (.f64 beta beta) (.f64 (/.f64 #s(literal 1 binary64) beta) alpha))) (.f64 beta (*.f64 beta beta)))
(.f64 alpha (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) alpha) beta beta) (.f64 beta (*.f64 beta beta))))
(.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) alpha) beta beta) (.f64 beta (*.f64 beta beta))) alpha)
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 beta)))
(exp.f64 (*.f64 (log.f64 beta) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 beta beta)))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 beta beta))))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 #s(literal 1 binary64) beta)))
(/.f64 alpha (.f64 (.f64 beta beta) alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 beta beta)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) beta)) (neg.f64 beta))
(/.f64 (.f64 alpha #s(literal 1 binary64)) (.f64 (*.f64 beta beta) alpha))
(/.f64 (.f64 #s(literal 1 binary64) alpha) (.f64 (*.f64 beta beta) alpha))
(/.f64 (.f64 alpha #s(literal -1 binary64)) (neg.f64 (.f64 (*.f64 beta beta) alpha)))
(/.f64 (.f64 alpha (/.f64 #s(literal 1 binary64) alpha)) (.f64 beta beta))
(/.f64 (.f64 #s(literal -1 binary64) alpha) (neg.f64 (.f64 (*.f64 beta beta) alpha)))
(pow.f64 beta #s(literal -2 binary64))
(pow.f64 (*.f64 beta beta) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 beta beta) (*.f64 beta beta)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (*.f64 beta beta))) #s(literal -1 binary64))
(pow.f64 (/.f64 beta (/.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 beta beta)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) #s(literal 1 binary64))
(.f64 alpha (/.f64 #s(literal 1 binary64) (.f64 (*.f64 beta beta) alpha)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 beta beta) alpha)) alpha)
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 beta beta))))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) beta))
(.f64 (.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) alpha)))
(exp.f64 (log.f64 (*.f64 beta beta)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(/.f64 (*.f64 beta beta) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 beta beta)) #s(literal -1 binary64))
(pow.f64 beta #s(literal 2 binary64))
(pow.f64 (*.f64 beta beta) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 beta)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 beta beta))
(*.f64 beta beta)
(*.f64 beta (/.f64 beta #s(literal 1 binary64)))
(.f64 (.f64 beta beta) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 beta)) (exp.f64 (log.f64 beta)))
(+.f64 beta #s(literal 7 binary64))
(+.f64 #s(literal 7 binary64) beta)
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 beta #s(literal -7 binary64))) (/.f64 #s(literal 49 binary64) (+.f64 beta #s(literal -7 binary64))))
(fma.f64 #s(literal 1 binary64) beta #s(literal 7 binary64))
(fma.f64 beta #s(literal 1 binary64) #s(literal 7 binary64))
(fma.f64 (*.f64 beta beta) (/.f64 #s(literal 1 binary64) beta) #s(literal 7 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) beta) (*.f64 beta beta) #s(literal 7 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 beta beta #s(literal 49 binary64)) (.f64 beta #s(literal 7 binary64))) (fma.f64 beta (.f64 beta beta) #s(literal 343 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal -7 binary64)) (fma.f64 beta beta #s(literal -49 binary64))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 343 binary64)) (-.f64 (fma.f64 beta beta #s(literal 49 binary64)) (.f64 beta #s(literal 7 binary64))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 343 binary64)) (+.f64 #s(literal 49 binary64) (-.f64 (.f64 beta beta) (*.f64 beta #s(literal 7 binary64)))))
(/.f64 (fma.f64 beta beta #s(literal -49 binary64)) (+.f64 beta #s(literal -7 binary64)))
(/.f64 (neg.f64 (fma.f64 beta (.f64 beta beta) #s(literal 343 binary64))) (neg.f64 (-.f64 (fma.f64 beta beta #s(literal 49 binary64)) (.f64 beta #s(literal 7 binary64)))))
(/.f64 (neg.f64 (fma.f64 beta beta #s(literal -49 binary64))) (neg.f64 (+.f64 beta #s(literal -7 binary64))))
(/.f64 (-.f64 #s(literal 49 binary64) (*.f64 beta beta)) (-.f64 #s(literal 7 binary64) beta))
(/.f64 (-.f64 (.f64 (.f64 beta beta) (+.f64 beta #s(literal -7 binary64))) (.f64 (+.f64 beta #s(literal -7 binary64)) #s(literal 49 binary64))) (.f64 (+.f64 beta #s(literal -7 binary64)) (+.f64 beta #s(literal -7 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 beta beta #s(literal 49 binary64)) (.f64 beta #s(literal 7 binary64))) (fma.f64 beta (.f64 beta beta) #s(literal 343 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 beta #s(literal -7 binary64)) (fma.f64 beta beta #s(literal -49 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 beta (.f64 beta beta) #s(literal 343 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 beta beta #s(literal 49 binary64)) (*.f64 beta #s(literal 7 binary64)))))
(*.f64 (fma.f64 beta beta #s(literal -49 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -7 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 beta beta) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) alpha)))
(/.f64 (.f64 (.f64 beta beta) alpha) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 beta beta) alpha)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 beta beta) alpha) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) alpha)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 beta beta) alpha))
(.f64 beta (.f64 beta alpha))
(.f64 (.f64 beta beta) alpha)
(.f64 (.f64 beta beta) (/.f64 alpha #s(literal 1 binary64)))
(.f64 alpha (.f64 beta beta))
(.f64 (.f64 (*.f64 beta beta) alpha) #s(literal 1 binary64))
(.f64 (.f64 beta alpha) beta)
(.f64 (.f64 beta alpha) (/.f64 beta #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 beta alpha)) beta)

simplify488.0ms (3.8%)

Memory

-54.8MiB live, 777.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 566×	`lower-fma.f64`
15 566×	`lower-fma.f32`
3 780×	`lower-*.f64`
3 780×	`lower-*.f32`
3 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1592
1	597	1580
2	1395	1408
3	4093	1368
4	7761	1368
0	8255	1318

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 222

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))
4
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 beta)))
(+ 4 (* beta (+ 4 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
1/3
(+ 1/3 (* 2/9 beta))
(+ 1/3 (* beta (+ 2/9 (* -2/27 beta))))
(+ 1/3 (* beta (+ 2/9 (* beta (- (* 2/81 beta) 2/27)))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 6 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 6 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 18 (/ 1 (pow beta 3)))))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 6 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 6 (* 18 (/ 1 beta))) beta))) beta)))
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
1/12
(+ 1/12 (* -1/36 beta))
(+ 1/12 (* beta (- (* 1/27 beta) 1/36)))
(+ 1/12 (* beta (- (* beta (+ 1/27 (* -4/81 beta))) 1/36)))
1/16
(+ 1/16 (* 1/64 (/ 1 beta)))
(- (+ 1/16 (* 1/64 (/ 1 beta))) (/ 3/256 (pow beta 2)))
(- (+ 1/16 (+ (* 1/64 (/ 1 beta)) (* 9/1024 (/ 1 (pow beta 3))))) (/ 3/256 (pow beta 2)))
1/16
(+ 1/16 (* 1/64 (/ 1 beta)))
(+ 1/16 (* -1 (/ (- (* 3/256 (/ 1 beta)) 1/64) beta)))
(+ 1/16 (* -1 (/ (- (* -1 (/ (- (* 9/1024 (/ 1 beta)) 3/256) beta)) 1/64) beta)))
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
12
(+ 12 (* 16 beta))
(+ 12 (* 16 beta))
(+ 12 (* 16 beta))
(* 16 beta)
(* beta (+ 16 (* 12 (/ 1 beta))))
(* beta (+ 16 (* 12 (/ 1 beta))))
(* beta (+ 16 (* 12 (/ 1 beta))))
(* 16 beta)
(* beta (+ 16 (* 12 (/ 1 beta))))
(* beta (+ 16 (* 12 (/ 1 beta))))
(* beta (+ 16 (* 12 (/ 1 beta))))
1/12
(+ 1/12 (* -1/36 beta))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))
12
(+ 12 (* 16 beta))
(+ 12 (* beta (+ 16 (* 7 beta))))
(+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))
16
(+ 16 (* 7 beta))
(+ 16 (* beta (+ 7 beta)))
(+ 16 (* beta (+ 7 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/ 1 (* alpha (pow beta 2)))
(/ (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2))) alpha)
(/ (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2))) alpha)
(/ (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2))) alpha)
(/ 1 (pow beta 2))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(/ 1 (pow beta 2))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(/ 1 (pow beta 2))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(/ alpha (pow beta 2))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/ alpha (pow beta 2))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
7
(+ 7 beta)
(+ 7 beta)
(+ 7 beta)
beta
(* beta (+ 1 (* 7 (/ 1 beta))))
(* beta (+ 1 (* 7 (/ 1 beta))))
(* beta (+ 1 (* 7 (/ 1 beta))))
beta
(* beta (+ 1 (* 7 (/ 1 beta))))
(* beta (+ 1 (* 7 (/ 1 beta))))
(* beta (+ 1 (* 7 (/ 1 beta))))
(* 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
1/12
#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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 26 binary64) beta)) beta)) (*.f64 beta beta))
(/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 26 binary64) (/.f64 #s(literal -98 binary64) beta)) beta) #s(literal -6 binary64)) 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 (/.f64 (+.f64 #s(literal 26 binary64) (/.f64 #s(literal -98 binary64) beta)) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
4
#s(literal 4 binary64)
(+ 4 (* 4 beta))
(fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* beta (+ 4 beta)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(+ 4 (* beta (+ 4 beta)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 4 binary64)))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 4 binary64)))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 beta))
(fma.f64 beta #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* beta (+ 2/9 (* -2/27 beta))))
(fma.f64 beta (fma.f64 beta #s(literal -2/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* beta (+ 2/9 (* beta (- (* 2/81 beta) 2/27)))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -2/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 1 (/ 6 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) beta) #s(literal -2 binary64)) beta))
(- (+ 1 (/ 6 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 18 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) beta)) beta) #s(literal -2 binary64)) beta))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 1 (* -1 (/ (- 2 (* 6 (/ 1 beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) beta) #s(literal -2 binary64)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 6 (* 18 (/ 1 beta))) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) beta)) beta) #s(literal -2 binary64)) beta))
1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
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 (- (* 1/27 beta) 1/36)))
(fma.f64 beta (fma.f64 beta #s(literal 1/27 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* beta (- (* beta (+ 1/27 (* -4/81 beta))) 1/36)))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal -4/81 binary64) #s(literal 1/27 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 beta)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) beta))
(- (+ 1/16 (* 1/64 (/ 1 beta))) (/ 3/256 (pow beta 2)))
(+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -3/256 binary64) beta)) beta))
(- (+ 1/16 (+ (* 1/64 (/ 1 beta)) (* 9/1024 (/ 1 (pow beta 3))))) (/ 3/256 (pow beta 2)))
(+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/1024 binary64) beta) #s(literal -3/256 binary64)) beta)) beta))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 beta)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) beta))
(+ 1/16 (* -1 (/ (- (* 3/256 (/ 1 beta)) 1/64) beta)))
(+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -3/256 binary64) beta)) beta))
(+ 1/16 (* -1 (/ (- (* -1 (/ (- (* 9/1024 (/ 1 beta)) 3/256) beta)) 1/64) beta)))
(+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/1024 binary64) beta) #s(literal -3/256 binary64)) beta)) beta))
1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
12
#s(literal 12 binary64)
(+ 12 (* 16 beta))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
(+ 12 (* 16 beta))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
(+ 12 (* 16 beta))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
(* 16 beta)
(*.f64 beta #s(literal 16 binary64))
(* beta (+ 16 (* 12 (/ 1 beta))))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
(* beta (+ 16 (* 12 (/ 1 beta))))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
(* beta (+ 16 (* 12 (/ 1 beta))))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
(* 16 beta)
(*.f64 beta #s(literal 16 binary64))
(* beta (+ 16 (* 12 (/ 1 beta))))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
(* beta (+ 16 (* 12 (/ 1 beta))))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
(* beta (+ 16 (* 12 (/ 1 beta))))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 26 binary64) beta)) beta)) (*.f64 beta beta))
(/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 26 binary64) (/.f64 #s(literal -98 binary64) beta)) beta) #s(literal -6 binary64)) 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 (/.f64 (+.f64 #s(literal 26 binary64) (/.f64 #s(literal -98 binary64) beta)) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
12
#s(literal 12 binary64)
(+ 12 (* 16 beta))
(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
(+ 12 (* beta (+ 16 (* 7 beta))))
(fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))
(+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))
(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(.f64 (.f64 beta beta) (+.f64 beta #s(literal 7 binary64)))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 beta (+.f64 #s(literal 7 binary64) (/.f64 #s(literal 16 binary64) beta))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(.f64 (.f64 beta beta) (+.f64 beta (fma.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 12 binary64) beta)) #s(literal 7 binary64))))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(.f64 (.f64 beta beta) (+.f64 beta #s(literal 7 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))
(.f64 (.f64 beta beta) (fma.f64 (/.f64 (-.f64 #s(literal -7 binary64) (/.f64 #s(literal 16 binary64) beta)) beta) (neg.f64 beta) beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))
(.f64 (.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 12 binary64) beta)) #s(literal 7 binary64)) beta)))
16
#s(literal 16 binary64)
(+ 16 (* 7 beta))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
(+ 16 (* beta (+ 7 beta)))
(fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))
(+ 16 (* beta (+ 7 beta)))
(fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(*.f64 beta (+.f64 beta (+.f64 #s(literal 7 binary64) (/.f64 #s(literal 16 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(*.f64 beta (+.f64 beta (+.f64 #s(literal 7 binary64) (/.f64 #s(literal 16 binary64) beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(*.f64 beta (+.f64 beta (+.f64 #s(literal 7 binary64) (/.f64 #s(literal 16 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(*.f64 beta (+.f64 beta (+.f64 #s(literal 7 binary64) (/.f64 #s(literal 16 binary64) beta))))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (+ 1 (/ 1 alpha)) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ 1 (* alpha (pow beta 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) alpha))
(/ (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 beta beta) alpha))
(/ (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 beta beta) alpha))
(/ (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 beta beta) alpha))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 beta beta) alpha))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 beta beta) alpha))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 beta beta) alpha))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 beta beta) alpha))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 beta beta) alpha))
(+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 beta beta) alpha))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ alpha (pow beta 2))
(/.f64 alpha (*.f64 beta beta))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ alpha (pow beta 2))
(/.f64 alpha (*.f64 beta beta))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
7
#s(literal 7 binary64)
(+ 7 beta)
(+.f64 beta #s(literal 7 binary64))
(+ 7 beta)
(+.f64 beta #s(literal 7 binary64))
(+ 7 beta)
(+.f64 beta #s(literal 7 binary64))
beta
(* beta (+ 1 (* 7 (/ 1 beta))))
(+.f64 beta #s(literal 7 binary64))
(* beta (+ 1 (* 7 (/ 1 beta))))
(+.f64 beta #s(literal 7 binary64))
(* beta (+ 1 (* 7 (/ 1 beta))))
(+.f64 beta #s(literal 7 binary64))
beta
(* beta (+ 1 (* 7 (/ 1 beta))))
(+.f64 beta #s(literal 7 binary64))
(* beta (+ 1 (* 7 (/ 1 beta))))
(+.f64 beta #s(literal 7 binary64))
(* beta (+ 1 (* 7 (/ 1 beta))))
(+.f64 beta #s(literal 7 binary64))
(* 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)

eval115.0ms (0.9%)

Memory: 36.6MiB live, 301.9MiB allocated
Compiler: Compiled 19 604 to 2 325 computations (88.1% saved)

prune202.0ms (1.6%)

Memory

-25.8MiB live, 308.3MiB allocated

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	950	9	959
Fresh	2	26	28
Picked	2	3	5
Done	0	3	3
Total	954	41	995

Accuracy

100.0%

Counts

995 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(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))
	44.9%	(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	44.9%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	85.7%	(/.f64 (fma.f64 beta alpha (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
	54.9%	(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (+.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta)
	94.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64))) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
	62.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	55.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta)
	51.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	44.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (.f64 (+.f64 (/.f64 (-.f64 alpha (.f64 (/.f64 alpha #s(literal -3 binary64)) beta)) (*.f64 (/.f64 alpha #s(literal -3 binary64)) alpha)) #s(literal -1 binary64)) (neg.f64 alpha)))
	55.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	36.1%	(/.f64 (/.f64 alpha beta) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64)) (neg.f64 alpha)))
✓	87.2%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
	86.4%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))
✓	46.0%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	87.2%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) beta)))
	44.8%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 7 binary64))))
	43.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
	59.6%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	48.5%	(/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
✓	53.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	53.1%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
✓	53.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	15.0%	(/.f64 (.f64 (fma.f64 beta beta (.f64 (.f64 beta beta) alpha)) alpha) (.f64 (.f64 beta beta) (.f64 (*.f64 beta beta) alpha)))
	33.5%	(/.f64 alpha (*.f64 beta beta))
	47.3%	(/.f64 #s(literal 1 binary64) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	54.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	57.5%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
	58.1%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
	54.7%	(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
	51.5%	(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta)))
	51.4%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓	5.7%	(/.f64 #s(literal 1 binary64) beta)
	78.6%	(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
	48.3%	(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	46.4%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
	53.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) alpha))
	51.3%	(.f64 alpha (/.f64 #s(literal 1 binary64) (.f64 (*.f64 beta beta) alpha)))
	33.5%	(.f64 alpha (/.f64 #s(literal 1 binary64) (.f64 beta beta)))
✓	45.7%	#s(literal 1/12 binary64)
	11.7%	#s(literal 1/16 binary64)

Compiler

Compiled 1 626 to 594 computations (63.5% saved)

regimes63.0ms (0.5%)

Memory

28.9MiB live, 144.6MiB allocated

Counts

68 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

21.0ms

beta

20.0ms

alpha

18.0ms

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

Results

Accuracy	Segments	Branch
99.8%	2	`alpha`
99.8%	2	`beta`
99.8%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes57.0ms (0.5%)

Memory

2.1MiB live, 118.8MiB allocated

Counts

59 → 2

Calls

Call 1

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

Calls

3 calls:

19.0ms

alpha

18.0ms

(/.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)))

18.0ms

beta

Results

Accuracy	Segments	Branch
99.8%	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)))`
98.7%	2	`alpha`
99.8%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes20.0ms (0.2%)

Memory

5.7MiB live, 43.2MiB allocated

Counts

56 → 2

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

beta

Results

Accuracy	Segments	Branch
99.7%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.4%)

Memory

-7.1MiB live, 30.5MiB allocated

Counts

53 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

43.0ms

beta

Results

Accuracy	Segments	Branch
99.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes44.0ms (0.3%)

Memory

-5.1MiB live, 32.0MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

41.0ms

beta

Results

Accuracy	Segments	Branch
99.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory

-6.7MiB live, 32.3MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

21.0ms

beta

Results

Accuracy	Segments	Branch
99.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory

20.3MiB live, 57.3MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

15.0ms	alpha
13.0ms	beta

Results

Accuracy	Segments	Branch
97.2%	2	`alpha`
98.5%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-2.3MiB live, 35.1MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

13.0ms

beta

Results

Accuracy	Segments	Branch
98.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-1.6MiB live, 34.1MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

13.0ms

beta

Results

Accuracy	Segments	Branch
98.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-25.3MiB live, 27.7MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

23.0ms

beta

Results

Accuracy	Segments	Branch
98.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.4%)

Memory

16.3MiB live, 52.6MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

31.0ms

alpha

7.0ms

beta

6.0ms

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

Results

Accuracy	Segments	Branch
85.1%	2	`alpha`
95.3%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
95.7%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes8.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
95.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes41.0ms (0.3%)

Memory

-6.1MiB live, 33.0MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

35.0ms

beta

6.0ms

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

Results

Accuracy	Segments	Branch
95.3%	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)))`
95.3%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes7.0ms (0.1%)

Memory

-19.4MiB live, 19.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
95.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
93.8%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
93.8%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-18.7MiB live, 22.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms

beta

3.0ms

alpha

3.0ms

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

Results

Accuracy	Segments	Branch
46.4%	1	`alpha`
46.4%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
46.4%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes8.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))

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

Calls

3 calls:

2.0ms

alpha

2.0ms

beta

2.0ms

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

Results

Accuracy	Segments	Branch
47.4%	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)))`
45.7%	1	`alpha`
47.8%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes5.0ms (0%)

Memory

-30.5MiB live, 8.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) beta)

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
47.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))

Outputs
#s(literal 1/12 binary64)

Calls

2 calls:

2.0ms

beta

2.0ms

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

Results

Accuracy	Segments	Branch
45.7%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
45.7%	1	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes4.0ms (0%)

Memory

13.2MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)

Outputs
#s(literal 1/16 binary64)

Calls

3 calls:

1.0ms

alpha

1.0ms

beta

1.0ms

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

Results

Accuracy	Segments	Branch
11.7%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
11.7%	1	`alpha`
11.7%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch14.0ms (0.1%)

Memory

-5.9MiB live, 32.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.957388391073306e+31	1.9712822937754326e+32

Samples

7.0ms

96×

valid

Compiler

Compiled 406 to 229 computations (43.6% saved)

Precisions

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

ival-div: 2.0ms (42.6% of total)

ival-add: 2.0ms (42.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	3.8209442842518614e+138	1.0556547837625405e+139

Samples

1.0ms

16×

valid

Compiler

Compiled 93 to 46 computations (50.5% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

2.2MiB live, 41.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.1867310824216146e+98	1.533852790544444e+102

Samples

10.0ms

128×

valid

Compiler

Compiled 464 to 235 computations (49.4% saved)

Precisions

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

ival-add: 3.0ms (40.3% of total)

ival-mult: 3.0ms (40.3% of total)

ival-div: 2.0ms (26.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

3.9MiB live, 44.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	191077135.2304289	57805834532648.21

Samples

10.0ms

144×

valid

Compiler

Compiled 490 to 271 computations (44.7% saved)

Precisions

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

ival-add: 3.0ms (42.5% of total)

ival-div: 2.0ms (28.3% of total)

ival-mult: 2.0ms (28.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	191077135.2304289	57805834532648.21

Compiler

Compiled 400 to 253 computations (36.8% saved)

bsearch3.0ms (0%)

Memory

-33.5MiB live, 3.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	191077135.2304289	57805834532648.21

Compiler

Compiled 346 to 226 computations (34.7% saved)

bsearch21.0ms (0.2%)

Memory

19.3MiB live, 58.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	7.789218528577896e-6	45279.514935383646

Samples

13.0ms

160×

valid

Compiler

Compiled 370 to 259 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 4.0ms (49% of total)

ival-div: 3.0ms (36.8% of total)

ival-mult: 2.0ms (24.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	191077135.2304289	57805834532648.21

Compiler

Compiled 310 to 217 computations (30% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	191077135.2304289	57805834532648.21

Compiler

Compiled 274 to 190 computations (30.7% saved)

bsearch14.0ms (0.1%)

Memory

-3.9MiB live, 34.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.789218528577896e-6	45279.514935383646

Samples

7.0ms

96×

valid

Compiler

Compiled 280 to 199 computations (28.9% saved)

Precisions

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

ival-div: 2.0ms (40.4% of total)

ival-add: 2.0ms (40.4% of total)

ival-mult: 1.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

-11.0MiB live, 30.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.789218528577896e-6	45279.514935383646

Samples

9.0ms

80×

valid

Compiler

Compiled 320 to 229 computations (28.4% saved)

Precisions

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

ival-add: 2.0ms (46.6% of total)

ival-div: 1.0ms (23.3% of total)

ival-mult: 1.0ms (23.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.789218528577896e-6	45279.514935383646

Samples

1.0ms

16×

valid

Compiler

Compiled 300 to 219 computations (27% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	7.789218528577896e-6	45279.514935383646

Samples

3.0ms

48×

valid

Compiler

Compiled 240 to 179 computations (25.4% saved)

Precisions

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

ival-div: 1.0ms (43.1% of total)

ival-add: 1.0ms (43.1% 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)

bsearch3.0ms (0%)

Memory

-33.8MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.789218528577896e-6	45279.514935383646

Compiler

Compiled 220 to 159 computations (27.7% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.789218528577896e-6	45279.514935383646

Compiler

Compiled 220 to 169 computations (23.2% saved)

bsearch7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	7.789218528577896e-6	45279.514935383646

Samples

4.0ms

48×

valid

Compiler

Compiled 200 to 149 computations (25.5% saved)

Precisions

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

ival-div: 1.0ms (40.1% of total)

ival-add: 1.0ms (40.1% 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)

bsearch9.0ms (0.1%)

Memory

-18.5MiB live, 20.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.789218528577896e-6	45279.514935383646

Samples

4.0ms

64×

valid

Compiler

Compiled 200 to 149 computations (25.5% saved)

Precisions

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

ival-div: 1.0ms (32.8% of total)

ival-add: 1.0ms (32.8% of total)

ival-mult: 1.0ms (32.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.789218528577896e-6	45279.514935383646

Samples

5.0ms

64×

valid

Compiler

Compiled 170 to 129 computations (24.1% saved)

Precisions

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

ival-div: 1.0ms (32.2% of total)

ival-add: 1.0ms (32.2% of total)

ival-mult: 1.0ms (32.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative_binary64`
22×	`*-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	510
1	161	510
2	171	510
3	177	510
4	180	510

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 169999999999999989306637387038720 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 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (+.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200 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 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 220000000000000008598141886239720781467525293818533320511507158782318696273755958902520088352522240 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 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) beta))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) beta))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 7746191359077253/4503599627370496 binary64)) (/.f64 (fma.f64 (.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 13/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(if (<=.f64 beta #s(literal 4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 5291729562160333/2251799813685248 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 7/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(if (<=.f64 beta #s(literal 7656119366529843/4503599627370496 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) beta))
(if (<=.f64 beta #s(literal 6530219459687219/2251799813685248 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) beta))
#s(literal 1/12 binary64)
#s(literal 1/16 binary64)

Outputs
(if (<=.f64 beta #s(literal 169999999999999989306637387038720 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 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (+.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 169999999999999989306637387038720 binary64)) (/.f64 (.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200 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 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 220000000000000008598141886239720781467525293818533320511507158782318696273755958902520088352522240 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 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 220000000000000008598141886239720781467525293818533320511507158782318696273755958902520088352522240 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) beta))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) beta))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 7746191359077253/4503599627370496 binary64)) (/.f64 (fma.f64 (.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 7746191359077253/4503599627370496 binary64)) (/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 57000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 13/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 13/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(if (<=.f64 beta #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(if (<=.f64 beta #s(literal 4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 beta (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 5291729562160333/2251799813685248 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 5291729562160333/2251799813685248 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 7/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 7/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 alpha #s(literal 3 binary64)))
(if (<=.f64 beta #s(literal 7656119366529843/4503599627370496 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) beta))
(if (<=.f64 beta #s(literal 6530219459687219/2251799813685248 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) beta))
#s(literal 1/12 binary64)
#s(literal 1/16 binary64)

soundness1.5s (11.8%)

Memory

-42.0MiB live, 1 577.7MiB allocated

Rules

15 566×	`lower-fma.f64`
15 566×	`lower-fma.f32`
7 508×	`lower-fma.f64`
7 508×	`lower-fma.f32`
7 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1291	10548
1	4377	10113
0	8128	9739
0	40	241
0	77	225
1	376	215
2	4080	215
0	8634	212
0	700	4593
1	2299	4343
2	7977	4306
0	8424	4181
0	676	5446
1	2405	5222
0	8136	4956
0	14	73
0	26	69
1	123	61
2	1161	61
0	8168	58
0	206	1592
1	597	1580
2	1395	1408
3	4093	1368
4	7761	1368
0	8255	1318

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

Compiler

Compiled 1 798 to 911 computations (49.3% saved)

preprocess111.0ms (0.9%)

Memory: 28.5MiB live, 263.1MiB allocated
Compiler: Compiled 1 342 to 386 computations (71.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.4s (11%)

preprocess999.0ms (7.9%)

explain178.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify848.0ms (6.7%)

localize39.0ms (0.3%)

series32.0ms (0.2%)

rewrite689.0ms (5.4%)

simplify443.0ms (3.5%)

eval118.0ms (0.9%)

prune64.0ms (0.5%)

simplify292.0ms (2.3%)

localize126.0ms (1%)

series72.0ms (0.6%)

rewrite311.0ms (2.5%)

simplify461.0ms (3.6%)

eval734.0ms (5.8%)

prune271.0ms (2.1%)

simplify345.0ms (2.7%)

localize92.0ms (0.7%)

series32.0ms (0.3%)

rewrite348.0ms (2.7%)

simplify445.0ms (3.5%)

eval238.0ms (1.9%)

prune243.0ms (1.9%)

simplify269.0ms (2.1%)

localize90.0ms (0.7%)

series56.0ms (0.4%)

rewrite388.0ms (3.1%)

simplify488.0ms (3.8%)

eval115.0ms (0.9%)

prune202.0ms (1.6%)

regimes63.0ms (0.5%)

regimes57.0ms (0.5%)

regimes20.0ms (0.2%)

regimes46.0ms (0.4%)

regimes44.0ms (0.3%)

regimes23.0ms (0.2%)

regimes30.0ms (0.2%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

regimes24.0ms (0.2%)

regimes46.0ms (0.4%)

regimes8.0ms (0.1%)

regimes41.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch14.0ms (0.1%)

bsearch3.0ms (0%)

bsearch17.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch14.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch3.0ms (0%)

bsearch7.0ms (0.1%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch7.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch9.0ms (0.1%)

simplify13.0ms (0.1%)

soundness1.5s (11.8%)

preprocess111.0ms (0.9%)

end0.0ms (0%)

Profiling