Metrics for Octave 3.8, jcobi/3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

sample1.6s (11.7%)

Memory

-98.6MiB live, 1 814.9MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 757.0ms

ival-add: 308.0ms (40.7% of total)

ival-mult: 227.0ms (30% of total)

ival-div: 143.0ms (18.9% of total)

ival->: 51.0ms (6.7% of total)

exact: 14.0ms (1.8% of total)

ival-and: 11.0ms (1.5% of total)

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

Bogosity

explain334.0ms (2.4%)

Memory

18.0MiB live, 254.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(/.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	9	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))`	overflow	9
↳	`(*.f64 beta alpha)`	overflow	9
↳	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))`	overflow	9

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms

512×

valid

Compiler

Compiled 285 to 46 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 22.0ms (42.1% of total)

ival-add: 22.0ms (42.1% of total)

ival-mult: 6.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess973.0ms (7.1%)

Memory

-1.1MiB live, 723.2MiB 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)

Compiler

Compiled 37 to 14 computations (62.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.4%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

96.4%

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

Compiler

Compiled 37 to 14 computations (62.2% saved)

simplify903.0ms (6.6%)

Memory

21.3MiB live, 1 173.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)))

localize48.0ms (0.3%)

Memory

-4.9MiB live, 106.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.033535009768442016	(/.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	0.07421875	(/.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	2.1895536436897913	(/.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

31.0ms

256×

valid

Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions

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

ival-add: 6.0ms (46.3% of total)

ival-div: 4.0ms (30.8% of total)

ival-mult: 3.0ms (23.1% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.2%)

Memory

8.7MiB live, 81.2MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#s(alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (taylor 0 alpha) (#s(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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 alpha) (#s(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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 alpha) (#s(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))) (patch (/.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))) #<representation binary64>) () ())) ())
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Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
3.0ms	alpha	@	inf	(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
2.0ms	alpha	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	beta	@	-inf	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	alpha	@	0	(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))

simplify378.0ms (2.7%)

Memory

-22.1MiB live, 539.4MiB 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)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
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(/ (+ 1 beta) (pow (+ 2 beta) 2))
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(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
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(* -1 (/ (- (* -1 beta) 1) alpha))
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(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
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(/ (+ 1 alpha) beta)
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(* -1 (/ (- (* -1 alpha) 1) beta))
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(* -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))
(+ 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)
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beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
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(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
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(/ (+ 1 beta) (+ 2 beta))
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(/ (+ 1 alpha) (+ 2 alpha))
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(* -1 (- (* -1 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))

rewrite301.0ms (2.2%)

Memory

-11.2MiB live, 502.9MiB allocated

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

eval64.0ms (0.5%)

Memory: 12.8MiB live, 87.2MiB allocated
Compiler: Compiled 20 031 to 1 603 computations (92% saved)

prune94.0ms (0.7%)

Memory

-3.7MiB live, 152.2MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	377	23	400
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	378	23	401

Accuracy

99.9%

Counts

401 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.7%	(/.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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(literal -1 binary64)))))
	95.6%	(/.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)))))
▶	95.6%	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	56.0%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 (+.f64 (/.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))))) (+.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)))
	62.5%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	83.8%	(/.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)))))
	83.8%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
▶	95.6%	(/.f64 (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	55.5%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	93.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	49.6%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	56.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	57.6%	(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
	95.6%	(*.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 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
	59.1%	(.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 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 beta #s(literal 3 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))))))
▶	96.3%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	95.6%	(.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
	95.5%	(.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
	83.9%	(.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 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
	82.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	4.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
	47.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
▶	54.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))

Compiler

Compiled 1 388 to 702 computations (49.4% saved)

simplify486.0ms (3.5%)

Memory

5.0MiB live, 555.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))
cost-diff	384	(/.f64 (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	0	(/.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))))
cost-diff	64	(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
cost-diff	128	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
cost-diff	0	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff	0	(*.f64 beta beta)
cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
cost-diff	0	(/.f64 #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	512	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	704	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))

Rules

15 546×	`lower-fma.f32`
15 542×	`lower-fma.f64`
5 912×	`lower-+.f32`
5 894×	`lower-+.f64`
4 114×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	517
0	83	506
1	168	506
2	430	502
3	1966	488
4	2918	488
5	4070	488
6	4255	488
7	4289	488
8	4291	488
9	6704	488
10	6870	488
11	7681	488
0	8069	476

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.1%)

Memory

3.5MiB live, 279.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(/.f64 (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	1.205430827840769	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))
accuracy	2.1895536436897913	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	16.03083169980175	(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
accuracy	0.00390625	(fma.f64 alpha beta (+.f64 alpha beta))
accuracy	0.05078125	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	0.07421875	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
accuracy	17.375950100728446	(/.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))))
accuracy	0.046875	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
accuracy	0.07421875	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	1.2133011306103079	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
accuracy	34.1996046795778	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))
accuracy	0	(+.f64 #s(literal 1 binary64) alpha)
accuracy	0	(*.f64 beta beta)
accuracy	1.2601183283200497	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
accuracy	28.14075524989826	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	0.09375	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	0.7372886932936927	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
accuracy	2.1973661436897913	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))

Samples

73.0ms

256×

valid

Compiler

Compiled 535 to 45 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 20.0ms (39.9% of total)

ival-add: 17.0ms (33.9% of total)

ival-mult: 12.0ms (23.9% of total)

exact: 1.0ms (2% of total)

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

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

series103.0ms (0.8%)

Memory

4.1MiB live, 153.8MiB allocated

Counts

23 → 480

Calls

Call 1

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

120 calls:

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

simplify861.0ms (6.2%)

Memory

3.4MiB live, 837.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 674×	`lower-*.f64`
5 674×	`lower-*.f32`
5 180×	`lower-fma.f64`
5 180×	`lower-fma.f32`
4 798×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2001	29124
1	7076	29124
0	8230	27203

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 472

Calls

Call 1

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

rewrite542.0ms (3.9%)

Memory

28.7MiB live, 861.4MiB allocated

Rules

4 960×	`lower-fma.f32`
4 956×	`lower-fma.f64`
4 780×	`lower-/.f32`
4 760×	`lower-/.f64`
4 312×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	386
0	83	312
1	411	304
2	3793	304
0	9776	304

Stop Event

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

Counts

23 → 1 226

Calls

Call 1

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

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

eval392.0ms (2.8%)

Memory: 33.2MiB live, 728.2MiB allocated
Compiler: Compiled 106 256 to 6 134 computations (94.2% saved)

prune468.0ms (3.4%)

Memory

-18.9MiB live, 735.3MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	2 115	18	2 133
Fresh	9	9	18
Picked	4	1	5
Done	0	0	0
Total	2 128	28	2 156

Accuracy

99.9%

Counts

2 156 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.7%	(/.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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(literal -1 binary64)))))
	56.0%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 (+.f64 (/.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))))) (+.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)))
	62.5%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	30.7%	(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
▶	83.8%	(/.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)))))
	83.8%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
	49.6%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	29.4%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (.f64 alpha alpha))))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	46.5%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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)))
	46.7%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	55.5%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.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 alpha (+.f64 beta #s(literal 3 binary64))))
▶	93.1%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	56.1%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	56.0%	(/.f64 #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	95.6%	(*.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 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
▶	96.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (*.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	61.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
	56.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
	82.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	4.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
	47.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
✓	54.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
	50.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
▶	55.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
	54.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
▶	32.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
	53.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
	53.8%	#s(approx (/ (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))))

Compiler

Compiled 1 228 to 684 computations (44.3% saved)

simplify252.0ms (1.8%)

Memory

-41.3MiB live, 433.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 alpha 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 (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 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	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
cost-diff	0	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
cost-diff	128	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
cost-diff	704	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta))
cost-diff	0	(*.f64 beta beta)
cost-diff	0	(/.f64 alpha (*.f64 beta beta))
cost-diff	0	#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
cost-diff	192	(fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	704	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (*.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
cost-diff	1024	(*.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64)))

Rules

6 926×	`lower-fma.f32`
6 922×	`lower-fma.f64`
3 052×	`lower-*.f32`
3 038×	`lower-*.f64`
2 330×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	498
0	91	485
1	178	479
2	447	474
3	1830	464
4	3135	452
5	5620	452
0	8682	448

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (1.4%)

Memory

40.1MiB live, 266.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 alpha beta (+.f64 alpha beta))
accuracy	0.05078125	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	0.06478500976844201	(.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))))
accuracy	10.26700391765194	(/.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)))))
accuracy	0.01953125	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
accuracy	0.07421875	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
accuracy	6.4347937032607545	#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
accuracy	17.224958360998233	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
accuracy	0	(+.f64 #s(literal 1 binary64) alpha)
accuracy	0.01171875	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
accuracy	0.21875	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta))
accuracy	28.14075524989826	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
accuracy	0	(*.f64 beta beta)
accuracy	5.317946927639685	(/.f64 alpha (*.f64 beta beta))
accuracy	28.14075524989826	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
accuracy	42.45383799749953	#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
accuracy	0.09375	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	0.09765625	(*.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64)))
accuracy	0.7372886932936927	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (*.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
accuracy	2.1973661436897913	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (*.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))

Samples

106.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 426 to 49 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 23.0ms (36.2% of total)

ival-mult: 22.0ms (34.6% of total)

ival-add: 16.0ms (25.2% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory

-13.7MiB live, 104.5MiB allocated

Counts

23 → 504

Calls

Call 1

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

Outputs
#s(alt (+ 1 alpha) (taylor 0 beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ alpha (* -1 (* beta (- (* -1 alpha) 1))))) (taylor 0 beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ alpha (* -1 (* beta (- (* -1 alpha) 1))))) (taylor 0 beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ alpha (* -1 (* beta (- (* -1 alpha) 1))))) (taylor 0 beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 alpha) 1))) (taylor inf beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ (* -1 (- (* -1 alpha) 1)) (+ (/ 1 beta) (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ (* -1 (- (* -1 alpha) 1)) (+ (/ 1 beta) (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ (* -1 (- (* -1 alpha) 1)) (+ (/ 1 beta) (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 alpha) 1))) (taylor -inf beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1))) (taylor -inf beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1))) (taylor -inf beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1))) (taylor -inf beta) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ 1 beta))) (taylor 0 alpha) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* alpha (* beta (+ 1 (/ 1 beta)))) (* beta (+ 1 (/ 1 beta)))) (taylor 0 alpha) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* alpha (* beta (+ 1 (/ 1 beta)))) (* beta (+ 1 (/ 1 beta)))) (taylor 0 alpha) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* alpha (* beta (+ 1 (/ 1 beta)))) (* beta (+ 1 (/ 1 beta)))) (taylor 0 alpha) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* alpha (* beta (+ 1 (/ 1 beta)))) (taylor inf alpha) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ (* beta (+ 1 (/ 1 beta))) (/ (* beta (+ 1 (/ 1 beta))) alpha))) (taylor inf alpha) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ (* beta (+ 1 (/ 1 beta))) (/ (* beta (+ 1 (/ 1 beta))) alpha))) (taylor inf alpha) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ (* beta (+ 1 (/ 1 beta))) (/ (* beta (+ 1 (/ 1 beta))) alpha))) (taylor inf alpha) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* alpha (* beta (+ 1 (/ 1 beta)))) (taylor -inf alpha) (#s(alt (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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Calls

126 calls:

Time	Variable		Point	Expression
11.0ms	alpha	@	0	(* (neg beta) (+ (* -1 (+ alpha (/ (+ 1 alpha) beta))) -1))
1.0ms	beta	@	0	(* (neg beta) (+ (* -1 (+ alpha (/ (+ 1 alpha) beta))) -1))
1.0ms	beta	@	inf	(* (neg beta) (+ (* -1 (+ alpha (/ (+ 1 alpha) beta))) -1))
1.0ms	alpha	@	inf	(/ alpha (* beta beta))
1.0ms	alpha	@	inf	(* (neg beta) (+ (* -1 (+ alpha (/ (+ 1 alpha) beta))) -1))

simplify518.0ms (3.8%)

Memory

-2.7MiB live, 751.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 944×	`lower-fma.f64`
7 944×	`lower-fma.f32`
7 758×	`lower-+.f64`
7 758×	`lower-+.f32`
4 070×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1163	20056
1	4080	19019
0	8856	18057

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 494

Calls

Call 1

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

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

rewrite344.0ms (2.5%)

Memory

29.0MiB live, 622.6MiB allocated

Rules

5 528×	`lower-/.f32`
5 510×	`lower-/.f64`
2 922×	`lower-*.f32`
2 908×	`lower-*.f64`
2 520×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	385
0	90	331
1	423	320
2	3654	320
0	8660	317

Stop Event

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

Counts

23 → 896

Calls

Call 1

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

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

eval302.0ms (2.2%)

Memory: -2.9MiB live, 572.2MiB allocated
Compiler: Compiled 65 936 to 4 608 computations (93% saved)

prune515.0ms (3.7%)

Memory

10.5MiB live, 677.6MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 675	17	1 692
Fresh	9	13	22
Picked	3	2	5
Done	0	1	1
Total	1 687	33	1 720

Accuracy

99.9%

Counts

1 720 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.7%	(/.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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(literal -1 binary64)))))
	56.0%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 (+.f64 (/.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))))) (+.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)))
	62.5%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	30.7%	(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	83.8%	(/.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)))))
	83.1%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
	82.1%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
	82.1%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
▶	49.6%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	46.5%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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)))
	46.7%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	55.5%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.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 alpha (+.f64 beta #s(literal 3 binary64))))
▶	93.1%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	56.1%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
▶	44.1%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	43.9%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	50.3%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	51.5%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	46.7%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	83.8%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.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)))))
	40.9%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.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)))))
	61.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
	56.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
	82.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	47.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
✓	54.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
▶	50.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
	54.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
▶	33.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
	33.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
✓	32.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
	32.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
	53.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))

Compiler

Compiled 1 261 to 708 computations (43.9% saved)

simplify485.0ms (3.5%)

Memory

-16.5MiB live, 491.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
cost-diff	0	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
cost-diff	0	#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))))
cost-diff	0	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
cost-diff	0	(/.f64 alpha beta)
cost-diff	0	#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
cost-diff	320	(*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
cost-diff	0	(*.f64 beta beta)
cost-diff	0	#s(approx (+ 1 alpha) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))
cost-diff	0	#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
cost-diff	0	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))

Rules

13 364×	`lower-fma.f32`
13 354×	`lower-fma.f64`
4 122×	`lower-*.f32`
4 118×	`lower-*.f64`
3 696×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	591
0	100	585
1	198	581
2	409	581
3	1110	565
4	5043	552
5	5820	552
6	6057	552
7	6198	552
8	6315	552
9	6383	552
10	6974	552
11	7259	552
12	7471	552
13	7477	552
14	7477	552
15	7555	552
16	7593	552
17	7599	552
18	7599	552
19	7997	552
0	8020	544

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
#s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 beta #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
alpha
(+.f64 beta #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
#s(approx (+ 1 alpha) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 beta beta)
beta
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))
(/.f64 alpha beta)
alpha
beta
(/.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(*.f64 beta beta)
beta
(fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))
(fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))
#s(literal -3/64 binary64)
#s(literal 1/16 binary64)
#s(literal -1/16 binary64)
#s(literal 1/4 binary64)
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
alpha
(+.f64 beta #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
#s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 alpha #s(literal 4 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)
beta
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 binary64))
#s(literal 1 binary64)
beta
#s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 beta #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
(+.f64 (+.f64 alpha beta) #s(literal 3 binary64))
alpha
(+.f64 beta #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
#s(approx (+ 1 alpha) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 beta beta)
beta
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
(*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta)
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))
(/.f64 alpha beta)
alpha
beta
(/.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(*.f64 beta beta)
beta
(fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))
(fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))
#s(literal -3/64 binary64)
#s(literal 1/16 binary64)
#s(literal -1/16 binary64)
#s(literal 1/4 binary64)
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
(+.f64 (+.f64 alpha beta) #s(literal 3 binary64))
alpha
(+.f64 beta #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) alpha)
(+.f64 alpha #s(literal 1 binary64))
#s(literal 1 binary64)
alpha
#s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 alpha #s(literal 4 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) #s(literal 3 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+.f64 alpha beta)
beta
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 2 binary64)

localize247.0ms (1.8%)

Memory

-1.0MiB live, 359.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.07421875	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	1.2133011306103079	(/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))
accuracy	34.1996046795778	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
accuracy	0.05078125	(fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))
accuracy	0.07421875	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
accuracy	6.4347937032607545	#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))))
accuracy	35.39664814231826	#s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) beta)
accuracy	0.21875	(*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
accuracy	28.14075524989826	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
accuracy	56.78721763969189	#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))
accuracy	0	(*.f64 beta beta)
accuracy	1.2601183283200497	(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
accuracy	6.988230665590474	#s(approx (+ 1 alpha) #s(literal 1 binary64))
accuracy	28.14075524989826	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
accuracy	0	#s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
accuracy	0.07421875	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
accuracy	6.4347937032607545	#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
accuracy	17.224958360998233	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))

Samples

76.0ms	234×	0	valid
49.0ms	11×	2	valid
7.0ms	11×	1	valid

Compiler

Compiled 426 to 57 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 24.0ms (32.9% of total)

ival-add: 24.0ms (32.9% of total)

ival-mult: 20.0ms (27.4% of total)

adjust: 4.0ms (5.5% of total)

exact: 1.0ms (1.4% of total)

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

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

series47.0ms (0.3%)

Memory

30.6MiB live, 68.7MiB allocated

Counts

24 → 432

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (patch #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (.f64 beta beta))) (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (.f64 beta beta)) (patch (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (.f64 beta beta)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 alpha) #s(literal 1 binary64)) (patch #s(approx (+ 1 alpha) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) (patch (.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))) (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (patch #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #<representation binary64>) () ())
#s(alt (/.f64 alpha beta) (patch (/.f64 alpha beta) #<representation binary64>) () ())
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Outputs
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#s(alt (* (pow beta 2) (- (* -1 (/ (- (* 1/16 (/ 1 beta)) 1/16) beta)) 3/64)) (taylor -inf beta) (#s(alt (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) (patch (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/4 (taylor 0 alpha) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))) (patch (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
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Calls

108 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4)
0.0ms	alpha	@	-inf	(/ alpha beta)
0.0ms	beta	@	-inf	(+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4)
0.0ms	beta	@	-inf	(/ alpha beta)
0.0ms	alpha	@	inf	(/ alpha beta)

simplify520.0ms (3.8%)

Memory

-5.8MiB live, 777.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 600×	`lower-fma.f64`
7 600×	`lower-fma.f32`
6 372×	`lower-+.f64`
6 372×	`lower-+.f32`
5 912×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	690	19791
1	2345	18994
0	8359	17906

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 424

Calls

Call 1

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

Outputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(fma.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))
(+ (* 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)))))
(+.f64 (fma.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 (.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (neg.f64 alpha) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(fma.f64 alpha (fma.f64 alpha (neg.f64 (fma.f64 alpha (+.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))))) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 (.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))) (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))))) (fma.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 (.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))))))) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (+.f64 (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 beta (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))
(/ (+ 1 beta) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 beta alpha) beta)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) alpha)))) (.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))))) (.f64 alpha alpha))) (-.f64 beta (.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) alpha))))) (.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))))) (neg.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) beta)))))) (.f64 alpha (.f64 alpha alpha)))) (-.f64 beta (fma.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) alpha) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 alpha alpha))) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) beta)))) (.f64 alpha alpha)))))) (.f64 alpha alpha))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
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(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
-1/16
#s(literal -1/16 binary64)
(- (* 1/16 beta) 1/16)
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64))
(- (* beta (+ 1/16 (* -3/64 beta))) 1/16)
(fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))
(- (* beta (+ 1/16 (* -3/64 beta))) 1/16)
(fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))
(* -3/64 (pow beta 2))
(.f64 (.f64 beta beta) #s(literal -3/64 binary64))
(* (pow beta 2) (- (* 1/16 (/ 1 beta)) 3/64))
(.f64 beta (.f64 beta (+.f64 (/.f64 #s(literal 1/16 binary64) beta) #s(literal -3/64 binary64))))
(* (pow beta 2) (- (* 1/16 (/ 1 beta)) (+ 3/64 (/ 1/16 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 #s(literal 1/16 binary64) beta) (-.f64 #s(literal -3/64 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 beta beta)))))
(* (pow beta 2) (- (* 1/16 (/ 1 beta)) (+ 3/64 (/ 1/16 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 #s(literal 1/16 binary64) beta) (-.f64 #s(literal -3/64 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 beta beta)))))
(* -3/64 (pow beta 2))
(.f64 (.f64 beta beta) #s(literal -3/64 binary64))
(* (pow beta 2) (- (* 1/16 (/ 1 beta)) 3/64))
(.f64 beta (.f64 beta (+.f64 (/.f64 #s(literal 1/16 binary64) beta) #s(literal -3/64 binary64))))
(* (pow beta 2) (- (* -1 (/ (- (* 1/16 (/ 1 beta)) 1/16) beta)) 3/64))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) beta) #s(literal -1/16 binary64)) (neg.f64 beta)) #s(literal -3/64 binary64)))
(* (pow beta 2) (- (* -1 (/ (- (* 1/16 (/ 1 beta)) 1/16) beta)) 3/64))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) beta) #s(literal -1/16 binary64)) (neg.f64 beta)) #s(literal -3/64 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (pow alpha 2)))
(fma.f64 alpha (*.f64 alpha #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow alpha 2) (- (* 1/16 alpha) 1/16)))
(fma.f64 (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow alpha 2) (- (* alpha (+ 1/16 (* -3/64 alpha))) 1/16)))
(fma.f64 (*.f64 alpha alpha) (fma.f64 alpha (fma.f64 alpha #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 3 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 8 (pow alpha 2))) (* 3 (/ 1 alpha))) alpha)
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha))) alpha)
(/ (- (+ 1 (/ 8 (pow alpha 2))) (+ (* 3 (/ 1 alpha)) (* 20 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 #s(literal 20 binary64) (.f64 alpha (*.f64 alpha alpha))))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 3 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 (/.f64 #s(literal -3 binary64) alpha) #s(literal 1 binary64)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 3) alpha)) 1) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -3 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 alpha)) 8) alpha)) 3) alpha)) 1) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 20 binary64) alpha) #s(literal -8 binary64)) (neg.f64 alpha)) #s(literal -3 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))

rewrite390.0ms (2.8%)

Memory

-5.8MiB live, 602.8MiB allocated

Rules

6 552×	`lower-*.f32`
6 548×	`lower-*.f64`
4 632×	`lower-/.f32`
4 616×	`lower-/.f64`
2 850×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	503
0	99	439
1	511	439
2	4070	439
0	10283	431

Stop Event

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

Counts

24 → 331

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) beta)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
#s(approx (+ 1 alpha) #s(literal 1 binary64))
(*.f64 beta beta)
(*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
#s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))))) (neg.f64 (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 (.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(.f64 (neg.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 alpha (.f64 alpha alpha) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (fma.f64 (+.f64 beta #s(literal 3 binary64)) (-.f64 (+.f64 beta #s(literal 3 binary64)) alpha) (.f64 alpha alpha)))
(.f64 (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 (fma.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(.f64 (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (-.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (-.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))
#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (neg.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (neg.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) beta) #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta))) (neg.f64 (neg.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) beta))
(pow.f64 (/.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) (.f64 (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))))) #s(literal -1/4096 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) #s(literal 1/256 binary64)) (.f64 beta (.f64 (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) #s(literal -1/256 binary64))) (neg.f64 (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal 1/16 binary64))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (.f64 (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)))))) (-.f64 #s(literal -1/16 binary64) (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))))) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))) (.f64 (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal 1/16 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) #s(literal 1/256 binary64)) (.f64 beta (.f64 (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)))) (fma.f64 (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) (.f64 (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))))) #s(literal -1/4096 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) #s(literal -1/256 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) (.f64 (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) (.f64 beta (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))))) #s(literal -1/4096 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) #s(literal 1/256 binary64)) (.f64 beta (*.f64 (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))))))
(.f64 (fma.f64 (.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) (*.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64))) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal 1/16 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 alpha #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (neg.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 alpha)) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 alpha #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 alpha #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 alpha)) (neg.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) alpha)))
(/.f64 (.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) alpha) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 alpha))) (neg.f64 (neg.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) alpha))
(pow.f64 (/.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 alpha #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 alpha #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
(.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 alpha)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))) (+.f64 alpha #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(approx ( (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)))

eval107.0ms (0.8%)

Memory: 3.5MiB live, 228.4MiB allocated
Compiler: Compiled 30 772 to 1 580 computations (94.9% saved)

prune235.0ms (1.7%)

Memory

-0.2MiB live, 262.2MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	766	9	775
Fresh	7	18	25
Picked	1	4	5
Done	0	3	3
Total	774	34	808

Accuracy

99.9%

Counts

808 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.0%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 (+.f64 (/.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))))) (+.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)))
	62.5%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	30.7%	(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	83.8%	(/.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)))))
	83.1%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
	82.1%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
	82.1%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	46.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
	46.5%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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)))
	46.7%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	65.9%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) (.f64 beta beta)))) #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	55.5%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.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 alpha (+.f64 beta #s(literal 3 binary64))))
✓	93.1%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	56.1%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
✓	44.1%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	43.9%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	50.3%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	51.5%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	46.7%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	83.8%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.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)))))
	40.9%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.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)))))
	61.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
	51.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
	82.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
	82.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	47.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
✓	54.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
	33.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
✓	50.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
	54.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
✓	33.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
✓	32.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
	32.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
	54.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))

Compiler

Compiled 2 068 to 599 computations (71% saved)

regimes63.0ms (0.5%)

Memory

11.1MiB live, 128.0MiB allocated

Counts

68 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 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 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 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) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) (.f64 beta beta)))) #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (*.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.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 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(literal -1 binary64)))))
(.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 (+.f64 (/.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))))) (+.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 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))
(.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 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))))))

Outputs

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

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

21.0ms

alpha

19.0ms

(/.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)))

19.0ms

beta

Results

Accuracy	Segments	Branch
99.7%	2	`alpha`
99.7%	2	`beta`
99.7%	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)

regimes39.0ms (0.3%)

Memory

9.8MiB live, 83.4MiB allocated

Counts

65 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 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 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 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) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) (.f64 beta beta)))) #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (*.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.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 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 alpha) (+.f64 (neg.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(literal -1 binary64)))))
(.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 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 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.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 alpha (+.f64 beta #s(literal 3 binary64))))

Calls

2 calls:

18.0ms

beta

17.0ms

(/.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
99.7%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
99.7%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes52.0ms (0.4%)

Memory

-1.7MiB live, 120.7MiB allocated

Counts

60 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 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 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 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) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) (.f64 beta beta)))) #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (.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 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (*.f64 (neg.f64 beta) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))

Outputs

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

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

Calls

3 calls:

18.0ms

beta

17.0ms

alpha

14.0ms

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

Results

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

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes31.0ms (0.2%)

Memory

-18.1MiB live, 57.8MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))

Outputs

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

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

Calls

2 calls:

13.0ms

beta

13.0ms

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

Results

Accuracy	Segments	Branch
98.9%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
99.6%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes38.0ms (0.3%)

Memory

2.6MiB live, 43.1MiB allocated

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))

Outputs

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

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

Calls

2 calls:

22.0ms	beta
13.0ms	alpha

Results

Accuracy	Segments	Branch
97.6%	2	`alpha`
99.4%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))

Outputs

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

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

Calls

1 calls:

13.0ms

beta

Results

Accuracy	Segments	Branch
99.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes45.0ms (0.3%)

Memory

-28.8MiB live, 9.6MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

1 calls:

43.0ms

beta

Results

Accuracy	Segments	Branch
99.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ alpha (+ beta 3))) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) beta) #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ (+ alpha beta) -2)) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta #s(literal -4 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta alpha)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

2 calls:

11.0ms

beta

10.0ms

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

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
98.4%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes10.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) (fma.f64 (.f64 alpha alpha) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 alpha) (+ 2 alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))

Outputs

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

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

Calls

1 calls:

8.0ms

beta

Results

Accuracy	Segments	Branch
97.6%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes57.0ms (0.4%)

Memory

-21.3MiB live, 17.6MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))))

Outputs

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

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

Calls

3 calls:

42.0ms

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
74.5%	4	`alpha`
95.7%	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)))`
97.1%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(approx (+ ( beta (+ (* beta -3/64) 1/16)) -1/16) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)))

Outputs

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

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

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
97.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (/.f64 #s(literal 1 binary64) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))

Outputs

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

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

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
96.8%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))

Outputs

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

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

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
96.8%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-21.4MiB live, 16.3MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

9.0ms

beta

4.0ms

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

Results

Accuracy	Segments	Branch
96.1%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
95.2%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(approx (+ (* (* beta beta) (+ (* beta (+ (* beta -3/64) 1/16)) -1/16)) 1/4) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))

Outputs

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

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

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
91.4%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
91.4%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes5.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

2.0ms

alpha

2.0ms

beta

1.0ms

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

Results

Accuracy	Segments	Branch
53.3%	2	`alpha`
50.6%	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)))`
50.6%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

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
32.8%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
32.8%	1	`beta`
32.8%	1	`alpha`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch14.0ms (0.1%)

Memory

-49.1MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	6.496098767656492e+142	1.8649525770681115e+144

Samples

1.0ms

16×

valid

Compiler

Compiled 112 to 56 computations (50% 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)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	6.496098767656492e+142	1.8649525770681115e+144

Compiler

Compiled 103 to 54 computations (47.6% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	6.496098767656492e+142	1.8649525770681115e+144

Compiler

Compiled 94 to 46 computations (51.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	6.496098767656492e+142	1.8649525770681115e+144

Compiler

Compiled 94 to 46 computations (51.1% saved)

bsearch8.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	1664740728227050200.0	4.9259799411151e+18

Samples

5.0ms

64×

valid

Compiler

Compiled 256 to 127 computations (50.4% saved)

Precisions

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

ival-div: 1.0ms (32.4% of total)

ival-add: 1.0ms (32.4% of total)

ival-mult: 1.0ms (32.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1664740728227050200.0	4.9259799411151e+18

Compiler

Compiled 256 to 131 computations (48.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1664740728227050200.0	4.9259799411151e+18

Compiler

Compiled 216 to 123 computations (43.1% saved)

bsearch15.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	582250741319.2545	31350057902422.8

Samples

8.0ms

112×

valid

Compiler

Compiled 292 to 180 computations (38.4% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	582250741319.2545	31350057902422.8

Compiler

Compiled 278 to 173 computations (37.8% saved)

bsearch20.0ms (0.1%)

Memory

-0.9MiB live, 35.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.014040622436832927	4836.746559625

Samples

11.0ms

144×

valid

Compiler

Compiled 328 to 208 computations (36.6% saved)

Precisions

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

ival-add: 3.0ms (40.6% of total)

ival-div: 2.0ms (27.1% of total)

ival-mult: 2.0ms (27.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.014040622436832927	4836.746559625

Samples

2.0ms

32×

valid

Compiler

Compiled 292 to 181 computations (38% saved)

Precisions

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

ival-div: 1.0ms (59.4% of total)

ival-add: 1.0ms (59.4% 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)

bsearch13.0ms (0.1%)

Memory

-14.7MiB live, 22.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.014040622436832927	4836.746559625

Samples

8.0ms

80×

valid

Compiler

Compiled 283 to 181 computations (36% saved)

Precisions

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

ival-add: 2.0ms (48.6% of total)

ival-div: 1.0ms (24.3% of total)

ival-mult: 1.0ms (24.3% 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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.014040622436832927	4836.746559625

Compiler

Compiled 247 to 154 computations (37.7% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.014040622436832927	4836.746559625

Compiler

Compiled 247 to 154 computations (37.7% saved)

bsearch5.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.014040622436832927	4836.746559625

Samples

2.0ms

32×

valid

Compiler

Compiled 238 to 145 computations (39.1% saved)

Precisions

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

ival-div: 1.0ms (56.7% of total)

ival-add: 1.0ms (56.7% 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)

bsearch17.0ms (0.1%)

Memory

-2.7MiB live, 35.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.008807872671609025	13.766205799733642

Samples

9.0ms

128×

valid

Compiler

Compiled 200 to 107 computations (46.5% saved)

Precisions

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

ival-add: 3.0ms (46.2% of total)

ival-div: 2.0ms (30.8% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify28.0ms (0.2%)

Memory

-15.0MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Rules

58×	`+-commutative_binary64`
38×	`*-commutative_binary64`
26×	`sub-neg_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1292
1	185	1292
2	201	1292
3	217	1292
4	231	1292
5	240	1292
6	251	1292
7	258	1292
8	266	1292
9	273	1292
10	276	1292
11	277	1292

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 (+.f64 (/.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))))) (+.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 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.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 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 4500000000000000000 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 4500000000000000000 binary64)) (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 4500000000000000000 binary64)) (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 31000000000000 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 31000000000000 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 8016407336719483/4503599627370496 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/1125899906842624 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/1125899906842624 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 alpha #s(literal 1 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (.f64 beta beta))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))

Outputs
(if (<=.f64 beta #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 (+.f64 (/.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))))) (+.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 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 alpha (/.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha))))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.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 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha))) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.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 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.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 4500000000000000000 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 4500000000000000000 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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.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 4500000000000000000 binary64)) (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 4500000000000000000 binary64)) (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #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 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.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 4500000000000000000 binary64)) (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 4500000000000000000 binary64)) (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #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 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 31000000000000 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 31000000000000 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 31000000000000 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 31000000000000 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 8016407336719483/4503599627370496 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 8016407336719483/4503599627370496 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (fma.f64 (.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 alpha) (* (+ 2 alpha) (+ 2 alpha))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/1125899906842624 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/1125899906842624 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/1125899906842624 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 7093169413108531/1125899906842624 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 alpha #s(literal 1 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (.f64 beta beta))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))

soundness1.1s (7.9%)

Memory

5.7MiB live, 1 084.1MiB allocated

Rules

7 944×	`lower-fma.f64`
7 944×	`lower-fma.f32`
7 758×	`lower-+.f64`
7 758×	`lower-+.f32`
7 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	386
0	83	312
1	411	304
2	3793	304
0	9776	304
0	1163	20056
1	4080	19019
0	8856	18057
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	2001	29124
1	7076	29124
0	8230	27203

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

Compiler

Compiled 1 789 to 679 computations (62% saved)

preprocess183.0ms (1.3%)

Memory: -0.2MiB live, 205.6MiB allocated
Compiler: Compiled 1 400 to 290 computations (79.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.6s (11.7%)

explain334.0ms (2.4%)

preprocess973.0ms (7.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify903.0ms (6.6%)

localize48.0ms (0.3%)

series34.0ms (0.2%)

simplify378.0ms (2.7%)

rewrite301.0ms (2.2%)

eval64.0ms (0.5%)

prune94.0ms (0.7%)

simplify486.0ms (3.5%)

localize145.0ms (1.1%)

series103.0ms (0.8%)

simplify861.0ms (6.2%)

rewrite542.0ms (3.9%)

eval392.0ms (2.8%)

prune468.0ms (3.4%)

simplify252.0ms (1.8%)

localize192.0ms (1.4%)

series55.0ms (0.4%)

simplify518.0ms (3.8%)

rewrite344.0ms (2.5%)

eval302.0ms (2.2%)

prune515.0ms (3.7%)

simplify485.0ms (3.5%)

localize247.0ms (1.8%)

series47.0ms (0.3%)

simplify520.0ms (3.8%)

rewrite390.0ms (2.8%)

eval107.0ms (0.8%)

prune235.0ms (1.7%)

regimes63.0ms (0.5%)

regimes39.0ms (0.3%)

regimes52.0ms (0.4%)

regimes31.0ms (0.2%)

regimes38.0ms (0.3%)

regimes15.0ms (0.1%)

regimes45.0ms (0.3%)

regimes24.0ms (0.2%)

regimes10.0ms (0.1%)

regimes57.0ms (0.4%)

regimes7.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch20.0ms (0.1%)

bsearch5.0ms (0%)

bsearch13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0%)

bsearch17.0ms (0.1%)

simplify28.0ms (0.2%)

soundness1.1s (7.9%)

preprocess183.0ms (1.3%)

end0.0ms (0%)

Profiling