Metrics for Octave 3.8, jcobi/3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

9.8MiB live, 9.8MiB 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)

sample1.8s (14.7%)

Memory

20.1MiB live, 2 051.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 819.0ms

ival-add: 350.0ms (42.7% of total)

ival-div: 281.0ms (34.3% of total)

ival-mult: 107.0ms (13.1% of total)

ival->: 53.0ms (6.5% of total)

exact: 15.0ms (1.8% of total)

ival-and: 11.0ms (1.3% of total)

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

Bogosity

explain911.0ms (7.6%)

Memory

-168.3MiB live, 224.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(/.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	17	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))`	overflow	17
↳	`(*.f64 beta alpha)`	overflow	17
↳	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))`	overflow	17

Confusion

	Predicted +	Predicted -
+	17	0
-	0	239

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	0
-	0	0	239

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 285 to 46 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 11.0ms (41.8% of total)

ival-div: 8.0ms (30.4% of total)

ival-mult: 6.0ms (22.8% of total)

exact: 1.0ms (3.8% of total)

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

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

preprocess660.0ms (5.5%)

Memory

43.2MiB live, 813.1MiB 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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(/.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)))

Status

Accuracy

Program

▶

93.3%

(/.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)))

Compiler

Compiled 37 to 14 computations (62.2% saved)

simplify579.0ms (4.8%)

Memory

38.4MiB live, 655.7MiB 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)))

localize46.0ms (0.4%)

Memory

-27.8MiB live, 73.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
accuracy	0.0078125	(/.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	0.0703125	(/.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	4.079650550563102	(/.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: 22.0ms

ival-mult: 10.0ms (44.9% of total)

ival-div: 6.0ms (26.9% of total)

ival-add: 6.0ms (26.9% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.3%)

Memory

-2.7MiB live, 41.1MiB 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
6.0ms	beta	@	-inf	(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
2.0ms	beta	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	alpha	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	beta	@	-inf	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	alpha	@	-inf	(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))

simplify320.0ms (2.7%)

Memory

29.1MiB live, 493.9MiB 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 (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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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))

rewrite261.0ms (2.2%)

Memory

14.1MiB live, 446.8MiB 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)))))

eval51.0ms (0.4%)

Memory: 11.9MiB live, 102.0MiB allocated
Compiler: Compiled 20 031 to 1 600 computations (92% saved)

prune116.0ms (1%)

Memory

-18.0MiB live, 137.0MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	386	14	400
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	387	14	401

Accuracy

100.0%

Counts

401 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(/.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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 alpha beta (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	58.8%	(/.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)))
	50.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	95.9%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	57.8%	(/.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)))
	51.6%	(/.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)))
▶	92.5%	(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
	92.5%	(.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))))))
	86.1%	(.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))))))
▶	89.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	4.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
	55.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
▶	49.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.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 (fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))))

Compiler

Compiled 880 to 392 computations (55.5% saved)

simplify258.0ms (2.1%)

Memory

-25.8MiB live, 304.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 874×	`lower-fma.f32`
11 870×	`lower-fma.f64`
4 274×	`lower-*.f32`
4 266×	`lower-*.f64`
3 540×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	498
0	81	479
1	155	479
2	381	479
3	1532	468
4	4677	468
5	6138	468
6	6602	468
7	6608	468
8	6608	468
9	6980	468
0	8057	460

Stop Event

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

Calls

Call 1

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

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

localize388.0ms (3.2%)

Memory

36.6MiB live, 219.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.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))))
accuracy	0.01953125	(/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	0.0625	(/.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))))
accuracy	18.194292045621214	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))
accuracy	0	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
accuracy	0.0078125	(/.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))))
accuracy	0.0703125	(/.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)))
accuracy	26.352169549626108	#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))
accuracy	0.01171875	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
accuracy	0.046875	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))
accuracy	2.8726378091349978	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
accuracy	4.404751154989464	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
accuracy	0	(+.f64 #s(literal 1 binary64) alpha)
accuracy	0	(*.f64 beta beta)
accuracy	1.5008819441499865	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
accuracy	31.058562084403697	#s(approx (/ (/ (/ (+ (+ (+ 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	0.01171875	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
accuracy	0.0703125	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	7.518717191125657	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
accuracy	17.93372595675076	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Samples

274.0ms

256×

valid

Compiler

Compiled 495 to 41 computations (91.7% saved)

Precisions

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

ival-div: 17.0ms (38.1% of total)

ival-add: 16.0ms (35.8% of total)

ival-mult: 11.0ms (24.6% of total)

exact: 1.0ms (2.2% of total)

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

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

series142.0ms (1.2%)

Memory

0.4MiB live, 129.5MiB allocated

Counts

22 → 420

Calls

Call 1

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

105 calls:

Time	Variable		Point	Expression
18.0ms	alpha	@	-inf	(* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2)))
9.0ms	alpha	@	0	(/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4))
5.0ms	beta	@	0	(* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2)))
3.0ms	alpha	@	0	(* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2)))
2.0ms	beta	@	-inf	(* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2)))

simplify554.0ms (4.6%)

Memory

-48.9MiB live, 622.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 034×	`lower-+.f64`
5 034×	`lower-+.f32`
4 812×	`lower-*.f64`
4 812×	`lower-*.f32`
4 556×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1748	25403
1	6100	24946
0	8098	23444

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 412

Calls

Call 1

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

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

rewrite300.0ms (2.5%)

Memory

0.2MiB live, 431.6MiB allocated

Rules

5 856×	`lower-*.f32`
5 848×	`lower-*.f64`
4 386×	`lower-/.f32`
4 368×	`lower-/.f64`
2 576×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	395
0	81	353
1	393	333
2	3532	333
0	8966	333

Stop Event

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

Counts

22 → 573

Calls

Call 1

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

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

eval215.0ms (1.8%)

Memory: 20.5MiB live, 345.9MiB allocated
Compiler: Compiled 51 785 to 3 497 computations (93.2% saved)

prune252.0ms (2.1%)

Memory

-12.6MiB live, 425.3MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 142	20	1 162
Fresh	9	0	9
Picked	4	1	5
Done	0	0	0
Total	1 155	21	1 176

Accuracy

100.0%

Counts

1 176 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(/.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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))
	58.8%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
	50.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	52.8%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	51.4%	#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))
	4.9%	#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 alpha alpha)))
	55.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
▶	42.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
▶	89.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	50.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
	41.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
✓	49.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
▶	48.0%	#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)))
▶	49.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
	50.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	49.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	49.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
▶	50.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
	31.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha 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))))
	59.7%	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))))))
	54.6%	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))

Compiler

Compiled 622 to 386 computations (37.9% saved)

simplify299.0ms (2.5%)

Memory

7.8MiB live, 231.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64))))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
cost-diff	0	(*.f64 beta beta)
cost-diff	0	(/.f64 #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 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
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	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
cost-diff	0	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))

Rules

10 704×	`lower-fma.f32`
10 700×	`lower-fma.f64`
3 516×	`lower-+.f32`
3 508×	`lower-+.f64`
3 262×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	418
0	63	408
1	140	404
2	366	394
3	1144	394
4	5479	394
5	5946	394
6	6388	394
7	6594	394
8	6732	394
9	6748	394
10	7120	394
11	7244	394
12	7513	394
13	7697	394
14	7734	394
15	7995	394
0	8005	385

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (0.9%)

Memory

4.4MiB live, 192.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))
accuracy	2.8726378091349978	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
accuracy	4.404751154989464	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64))))
accuracy	31.03700993945924	#s(approx (* (+ beta 2) (+ beta 2)) (*.f64 beta beta))
accuracy	0	(*.f64 beta beta)
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
accuracy	1.3954131941499865	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
accuracy	31.058562084403697	#s(approx (/ (/ (/ (+ (+ (+ 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)))
accuracy	0	(*.f64 beta beta)
accuracy	1.5008819441499865	(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
accuracy	7.884675000837874	#s(approx (+ 1 alpha) #s(literal 1 binary64))
accuracy	31.058562084403697	#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	2.8726378091349978	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
accuracy	30.974628728870016	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
accuracy	0.00390625	(fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))
accuracy	0.02734375	(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
accuracy	2.8726378091349978	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
accuracy	4.404751154989464	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))

Samples

57.0ms

256×

valid

Compiler

Compiled 331 to 37 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add: 14.0ms (34.8% of total)

ival-mult: 11.0ms (27.3% of total)

ival-div: 8.0ms (19.9% of total)

const: 6.0ms (14.9% of total)

exact: 1.0ms (2.5% of total)

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

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

series26.0ms (0.2%)

Memory

7.1MiB live, 50.5MiB allocated

Counts

19 → 312

Calls

Call 1

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

Outputs
#s(alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (taylor 0 alpha) (#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) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (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) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #<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 #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (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) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #<representation binary64>) () ())) ())
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Calls

78 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(+ (* beta (+ (* beta (+ beta 7)) 16)) 12)
0.0ms	beta	@	-inf	(+ (* beta (+ beta 7)) 16)
0.0ms	beta	@	-inf	(+ (* beta (+ (* beta (+ beta 7)) 16)) 12)
0.0ms	alpha	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
0.0ms	alpha	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))

simplify351.0ms (2.9%)

Memory

-2.6MiB live, 521.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 728×	`lower-fma.f64`
10 728×	`lower-fma.f32`
6 008×	`lower-*.f64`
6 008×	`lower-*.f32`
4 888×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	406	14681
1	1393	14032
2	5728	13976
0	8698	12967

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 308

Calls

Call 1

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

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

rewrite310.0ms (2.6%)

Memory

26.2MiB live, 473.7MiB allocated

Rules

5 596×	`lower-*.f32`
5 590×	`lower-*.f64`
4 146×	`lower-/.f32`
4 138×	`lower-/.f64`
3 384×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	386
0	63	358
1	323	332
2	2791	332
0	8498	327

Stop Event

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

Counts

19 → 309

Calls

Call 1

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

Outputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (+.f64 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)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (+.f64 beta #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (neg.f64 #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (fma.f64 beta (-.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)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (.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)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) beta) #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta))) (neg.f64 (neg.f64 #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))))
(/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))
(/.f64 (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (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)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (-.f64 #s(literal 1 binary64) beta))
(pow.f64 (/.f64 #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (+.f64 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)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
(.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))) (+.f64 beta #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)))
(+.f64 beta #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) beta)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))
(fma.f64 beta #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) beta #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) (*.f64 beta beta))))
(/.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64)) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64)) (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) beta))
(/.f64 (neg.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) (neg.f64 (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (.f64 (-.f64 #s(literal 1 binary64) beta) (.f64 beta beta))) (.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) beta)))
(pow.f64 (/.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) #s(literal -1 binary64))
(.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 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(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)))
#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 beta beta) #s(approx (+ 1 alpha) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (neg.f64 (*.f64 beta beta))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64))) (*.f64 beta beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) #s(approx (+ 1 alpha) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 beta beta) #s(approx (+ 1 alpha) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 beta beta) #s(approx (+ 1 alpha) #s(literal 1 binary64)))))
(/.f64 (neg.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64))) (neg.f64 (*.f64 beta beta)))
(/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta)
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(fma.f64 (*.f64 beta beta) #s(literal 1 binary64) (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)))
(fma.f64 (exp.f64 (log.f64 beta)) (exp.f64 (log.f64 beta)) (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)) #s(literal 256 binary64)) (.f64 beta (.f64 (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) (fma.f64 (.f64 beta (+.f64 beta #s(literal 7 binary64))) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta))) #s(literal 4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal -16 binary64)) (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)) #s(literal -256 binary64))))
(/.f64 (fma.f64 (.f64 beta (+.f64 beta #s(literal 7 binary64))) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta))) #s(literal 4096 binary64)) (-.f64 (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)) #s(literal 256 binary64)) (.f64 beta (.f64 (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))))
(/.f64 (fma.f64 (.f64 beta (+.f64 beta #s(literal 7 binary64))) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta))) #s(literal 4096 binary64)) (+.f64 #s(literal 256 binary64) (-.f64 (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta))) (.f64 beta (*.f64 (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))))))
(/.f64 (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)) #s(literal -256 binary64)) (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal -16 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 beta (+.f64 beta #s(literal 7 binary64))) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta))) #s(literal 4096 binary64))) (neg.f64 (-.f64 (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)) #s(literal 256 binary64)) (.f64 beta (.f64 (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)) #s(literal -256 binary64))) (neg.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal -16 binary64))))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)))) (-.f64 #s(literal 16 binary64) (.f64 beta (+.f64 beta #s(literal 7 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta))) (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal -16 binary64))) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal -16 binary64)) #s(literal 256 binary64))) (.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal -16 binary64)) (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal -16 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)) #s(literal 256 binary64)) (.f64 beta (.f64 (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)))) (fma.f64 (.f64 beta (+.f64 beta #s(literal 7 binary64))) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta))) #s(literal 4096 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal -16 binary64)) (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)) #s(literal -256 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 beta (+.f64 beta #s(literal 7 binary64))) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta))) #s(literal 4096 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 beta beta)) #s(literal 256 binary64)) (.f64 beta (*.f64 (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))))))
(.f64 (fma.f64 (+.f64 beta #s(literal 7 binary64)) (.f64 (+.f64 beta #s(literal 7 binary64)) (*.f64 beta beta)) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal -16 binary64))))
#s(approx (* (+ beta 2) (+ beta 2)) (*.f64 beta beta))

eval105.0ms (0.9%)

Memory: -42.8MiB live, 154.5MiB allocated
Compiler: Compiled 22 619 to 1 176 computations (94.8% saved)

prune109.0ms (0.9%)

Memory

28.8MiB live, 172.4MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	692	5	697
Fresh	4	11	15
Picked	0	5	5
Done	0	1	1
Total	696	22	718

Accuracy

100.0%

Counts

718 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.8%	(/.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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))
	58.8%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
	50.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	52.8%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	51.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
	48.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
	12.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) beta))))
▶	4.9%	#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 alpha alpha)))
	55.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
✓	42.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
✓	89.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	50.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(approx (+ (* beta (+ beta 7)) 16) #s(literal 16 binary64)) #s(literal 12 binary64)))))
✓	49.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
✓	48.0%	#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)))
	49.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) alpha)))
✓	49.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
	50.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	49.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
▶	49.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
✓	50.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
	31.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha 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))))
▶	54.6%	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))

Compiler

Compiled 574 to 351 computations (38.9% saved)

simplify247.0ms (2.1%)

Memory

-5.6MiB live, 321.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 alpha #s(literal 1 binary64))
cost-diff	0	(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64)))
cost-diff	0	(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))))
cost-diff	0	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
cost-diff	0	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64)))
cost-diff	0	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
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 alpha alpha)
cost-diff	0	(+.f64 beta #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 alpha alpha))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 alpha alpha)))
cost-diff	0	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
cost-diff	0	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
cost-diff	128	(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))
cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff	384	(/.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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))
cost-diff	1152	(*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))

Rules

6 522×	`lower-fma.f32`
6 518×	`lower-fma.f64`
3 964×	`lower-*.f32`
3 954×	`lower-*.f64`
2 764×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	530
0	105	512
1	228	509
2	658	506
3	2360	482
4	4322	482
5	7117	482
0	8440	481

Stop Event

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

Calls

Call 1

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

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

localize230.0ms (1.9%)

Memory

25.5MiB live, 258.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64)))
accuracy	0.029628759768442016	(.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))
accuracy	4.5311115750794215	(/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))))
accuracy	29.835111487732103	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
accuracy	0	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
accuracy	0.0703125	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	7.518717191125657	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64)))
accuracy	30.52752009610795	#s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))
accuracy	0	(+.f64 beta #s(literal 1 binary64))
accuracy	0	(*.f64 alpha alpha)
accuracy	1.7492823833487883	(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 alpha alpha))
accuracy	61.84685747510775	#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 alpha alpha)))
accuracy	0.203125	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
accuracy	2.8726378091349978	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
accuracy	31.528888199314896	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))
accuracy	0.0078125	(/.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))))
accuracy	0.05859375	(*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))
accuracy	0.0703125	(/.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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))
accuracy	26.352169549626108	#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))

Samples

153.0ms

256×

valid

Compiler

Compiled 462 to 62 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-add: 83.0ms (65.8% of total)

ival-mult: 18.0ms (14.3% of total)

ival-div: 15.0ms (11.9% of total)

const: 6.0ms (4.8% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series51.0ms (0.4%)

Memory

-13.6MiB live, 79.2MiB allocated

Counts

22 → 396

Calls

Call 1

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

Outputs
#s(alt (+ 3 alpha) (taylor 0 beta) (#s(alt (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (+ alpha beta)) (taylor 0 beta) (#s(alt (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (+ alpha beta)) (taylor 0 beta) (#s(alt (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (+ alpha beta)) (taylor 0 beta) (#s(alt (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt beta (taylor inf beta) (#s(alt (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta)))) (taylor inf beta) (#s(alt (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) (patch (.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (* -20 alpha) 24) (taylor 0 alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* alpha (- (* 2 alpha) 20)) 24) (taylor 0 alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* alpha (- (* alpha (+ 2 (* 5 alpha))) 20)) 24) (taylor 0 alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow alpha 4) (taylor inf alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 4) (+ 1 (* 5 (/ 1 alpha)))) (taylor inf alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 4) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 2 (pow alpha 2))))) (taylor inf alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (pow alpha 4) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 4) (+ 1 (* 5 (/ 1 alpha)))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 4) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 2 (pow alpha 2))))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 2 (* 20 (/ 1 alpha))) alpha)) 5) alpha)))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (patch (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	0	(/ (+ beta 1) (* alpha alpha))
3.0ms	beta	@	-inf	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
1.0ms	alpha	@	0	(* (neg beta) (+ (neg (/ (+ 3 alpha) beta)) -1))
0.0ms	beta	@	-inf	(* (neg beta) (+ (neg (/ (+ 3 alpha) beta)) -1))
0.0ms	alpha	@	-inf	(* (neg beta) (+ (neg (/ (+ 3 alpha) beta)) -1))

simplify396.0ms (3.3%)

Memory

33.2MiB live, 506.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 272×	`lower-+.f64`
5 272×	`lower-+.f32`
5 204×	`lower-fma.f64`
5 204×	`lower-fma.f32`
4 264×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1209	20949
1	4145	20031
0	8184	18903

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 384

Calls

Call 1

Inputs
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* beta (+ 1 (* 3 (/ 1 beta))))
(+ alpha (* beta (+ 1 (* 3 (/ 1 beta)))))
(+ alpha (* beta (+ 1 (* 3 (/ 1 beta)))))
(+ alpha (* beta (+ 1 (* 3 (/ 1 beta)))))
alpha
(* alpha (+ 1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)))
(* alpha (+ 1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)))
(* alpha (+ 1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)) 1)))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 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))
(/ -3 beta)
(- (* -1 (/ alpha beta)) (* 3 (/ 1 beta)))
(- (* -1 (/ alpha beta)) (* 3 (/ 1 beta)))
(- (* -1 (/ alpha beta)) (* 3 (/ 1 beta)))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (/ 1 beta) (* 3 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (/ 1 beta) (* 3 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (/ 1 beta) (* 3 (/ 1 (* alpha beta))))))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (/ 1 beta) (* 3 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (/ 1 beta) (* 3 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (/ 1 beta) (* 3 (/ 1 (* alpha beta))))))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(* -1 (/ (+ 3 alpha) beta))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
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(+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
1/4
(+ 1/4 (* -1/16 (pow beta 2)))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(/ 1 beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
-24
(- (* -20 alpha) 24)
(- (* alpha (- (* 2 alpha) 20)) 24)
(- (* alpha (- (* alpha (+ 2 (* 5 alpha))) 20)) 24)
(pow alpha 4)
(* (pow alpha 4) (+ 1 (* 5 (/ 1 alpha))))
(* (pow alpha 4) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 2 (pow alpha 2)))))
(* (pow alpha 4) (- (+ 1 (+ (* 5 (/ 1 alpha)) (/ 2 (pow alpha 2)))) (* 20 (/ 1 (pow alpha 3)))))
(pow alpha 4)
(* (pow alpha 4) (+ 1 (* 5 (/ 1 alpha))))
(* (pow alpha 4) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 2 (pow alpha 2)))))
(* (pow alpha 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 2 (* 20 (/ 1 alpha))) alpha)) 5) alpha))))

Outputs
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 3 binary64) beta)))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 3 binary64) beta)))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 3 binary64) beta)))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)) (neg.f64 beta))
(* beta (+ 1 (* 3 (/ 1 beta))))
(+.f64 beta (*.f64 beta (/.f64 #s(literal 3 binary64) beta)))
(+ alpha (* beta (+ 1 (* 3 (/ 1 beta)))))
(fma.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) alpha)
(+ alpha (* beta (+ 1 (* 3 (/ 1 beta)))))
(fma.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) alpha)
(+ alpha (* beta (+ 1 (* 3 (/ 1 beta)))))
(fma.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) alpha)
alpha
(* alpha (+ 1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)))
(*.f64 alpha (fma.f64 beta (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) alpha) #s(literal 1 binary64)))
(* alpha (+ 1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)))
(*.f64 alpha (fma.f64 beta (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) alpha) #s(literal 1 binary64)))
(* alpha (+ 1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)))
(*.f64 alpha (fma.f64 beta (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) alpha) #s(literal 1 binary64)))
alpha
(* -1 (* alpha (- (* -1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)) 1)))
(*.f64 (fma.f64 (neg.f64 beta) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- (* -1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)) 1)))
(*.f64 (fma.f64 (neg.f64 beta) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- (* -1 (/ (* beta (+ 1 (* 3 (/ 1 beta)))) alpha)) 1)))
(*.f64 (fma.f64 (neg.f64 beta) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1 binary64)) (neg.f64 alpha))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))
(+ (* 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 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) 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)))))
(fma.f64 alpha (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (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 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (neg.f64 alpha) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) 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)))))
(fma.f64 alpha (fma.f64 alpha (neg.f64 (fma.f64 alpha (fma.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (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 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))) (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 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))))) (fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (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 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta))) (/.f64 beta (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta (/.f64 #s(literal 1 binary64) alpha)) (/.f64 beta alpha))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 #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))
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(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)) beta) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(/.f64 (+.f64 (-.f64 (neg.f64 beta) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta (fma.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)))) alpha))) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta))))) alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(/.f64 (+.f64 (-.f64 (neg.f64 beta) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)))) alpha) (-.f64 (/.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)))) alpha) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta))))) alpha)) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta))))) alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
(/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(+ (* 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))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 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))))
(fma.f64 beta (fma.f64 (neg.f64 beta) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 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))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta (-.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64))) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 (neg.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/.f64 (+.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) 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)
(/.f64 (+.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (/.f64 (fma.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha))) (.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta beta)))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) 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)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (/.f64 (-.f64 (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)))) (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha))) (.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (.f64 beta (.f64 beta beta))))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta beta))) (/.f64 (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) alpha)))) (.f64 beta beta))))) beta)
(* -1 (/ (- (* -1 alpha) 1) beta))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(/.f64 (+.f64 (-.f64 (neg.f64 alpha) (/.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha))) beta)) #s(literal -1 binary64)) (neg.f64 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))
(/.f64 (+.f64 (-.f64 (neg.f64 alpha) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha)))) beta) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)))) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) alpha))))) beta)) #s(literal -1 binary64)) (neg.f64 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))
(/.f64 (+.f64 (-.f64 (neg.f64 alpha) (/.f64 (+.f64 (-.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha))) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha)))) beta) (-.f64 (/.f64 (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha)))) beta) (fma.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha))) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha))))) beta)) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) beta)) #s(literal -1 binary64)) (neg.f64 beta))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (pow beta 2)))
(fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(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))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 beta beta))) (/.f64 #s(literal -3 binary64) beta)) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 3 binary64) beta) (/.f64 #s(literal 20 binary64) (.f64 beta (*.f64 beta beta))))) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) beta) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) beta) #s(literal -3 binary64)) (neg.f64 beta)) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 20 binary64) beta) #s(literal -8 binary64)) (neg.f64 beta)) #s(literal -3 binary64)) (neg.f64 beta)) #s(literal -1 binary64)) (neg.f64 beta))
-24
#s(literal -24 binary64)
(- (* -20 alpha) 24)
(fma.f64 alpha #s(literal -20 binary64) #s(literal -24 binary64))
(- (* alpha (- (* 2 alpha) 20)) 24)
(fma.f64 alpha (fma.f64 alpha #s(literal 2 binary64) #s(literal -20 binary64)) #s(literal -24 binary64))
(- (* alpha (- (* alpha (+ 2 (* 5 alpha))) 20)) 24)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 5 binary64) #s(literal 2 binary64)) #s(literal -20 binary64)) #s(literal -24 binary64))
(pow alpha 4)
(pow.f64 alpha #s(literal 4 binary64))
(* (pow alpha 4) (+ 1 (* 5 (/ 1 alpha))))
(*.f64 (pow.f64 alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) alpha)))
(* (pow alpha 4) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 2 (pow alpha 2)))))
(.f64 (pow.f64 alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 5 binary64) alpha) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)))))
(* (pow alpha 4) (- (+ 1 (+ (* 5 (/ 1 alpha)) (/ 2 (pow alpha 2)))) (* 20 (/ 1 (pow alpha 3)))))
(.f64 (pow.f64 alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 5 binary64) alpha) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))) (/.f64 #s(literal -20 binary64) (.f64 alpha (.f64 alpha alpha))))))
(pow alpha 4)
(pow.f64 alpha #s(literal 4 binary64))
(* (pow alpha 4) (+ 1 (* 5 (/ 1 alpha))))
(*.f64 (pow.f64 alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) alpha)))
(* (pow alpha 4) (+ 1 (+ (* 5 (/ 1 alpha)) (/ 2 (pow alpha 2)))))
(.f64 (pow.f64 alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 5 binary64) alpha) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)))))
(* (pow alpha 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 2 (* 20 (/ 1 alpha))) alpha)) 5) alpha))))
(*.f64 (pow.f64 alpha #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -20 binary64) alpha)) (neg.f64 alpha)) #s(literal -5 binary64)) alpha)))

rewrite312.0ms (2.6%)

Memory

-17.0MiB live, 441.8MiB allocated

Rules

3 950×	`lower-*.f32`
3 940×	`lower-*.f64`
3 768×	`lower-/.f32`
3 756×	`lower-/.f64`
3 248×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	429
0	104	407
1	557	369
2	5239	369
0	8117	359

Stop Event

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

Counts

22 → 442

Calls

Call 1

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

Outputs
(+.f64 beta (*.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)))
(+.f64 (*.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) beta)
(-.f64 #s(literal 0 binary64) (*.f64 beta (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))))
(fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)
(fma.f64 beta #s(literal 1 binary64) (*.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)))
(fma.f64 (neg.f64 beta) (/.f64 (+.f64 #s(literal 3 binary64) alpha) (neg.f64 beta)) beta)
(fma.f64 (neg.f64 beta) #s(literal -1 binary64) (*.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)))
(fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta beta)
(fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) (neg.f64 beta)) (neg.f64 beta) beta)
(fma.f64 #s(literal -1 binary64) (neg.f64 beta) (*.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)))
(fma.f64 #s(literal -1 binary64) (*.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) (neg.f64 beta))) beta)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (neg.f64 beta)) beta)
(fma.f64 #s(literal 1 binary64) beta (*.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)))
(neg.f64 (*.f64 beta (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))))
(/.f64 (fma.f64 (.f64 beta (.f64 beta beta)) (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) (.f64 beta (.f64 beta beta))) (.f64 beta (.f64 beta beta))) (fma.f64 (.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (-.f64 (.f64 beta beta) (.f64 (*.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) beta))))
(/.f64 (-.f64 (.f64 (.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))) (.f64 beta beta)) (-.f64 (*.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) beta))
(/.f64 (.f64 (neg.f64 beta) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) (.f64 beta (.f64 beta beta)))))) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))))
(/.f64 (.f64 (neg.f64 beta) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta beta)) #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) (neg.f64 beta)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) (.f64 beta (.f64 beta beta))))) (neg.f64 beta)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta beta)) #s(literal -1 binary64)) (neg.f64 beta)) (+.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) (neg.f64 beta)) #s(literal 1 binary64)))
(*.f64 beta (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))))
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)))
(.f64 #s(literal -1 binary64) (.f64 beta (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (neg.f64 beta))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)) beta)
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (neg.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))))
(neg.f64 (/.f64 (neg.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (neg.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))))
(/.f64 (neg.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))))
(/.f64 (neg.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))) (.f64 #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))))
(/.f64 (.f64 (neg.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))))
(/.f64 (.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))
(/.f64 (.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(pow.f64 (.f64 #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #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))) (+.f64 alpha #s(literal 1 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))))
(.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))))
(.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))))
(.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))))
(.f64 (neg.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta))) (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)) #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (fma.f64 beta (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) beta)) (neg.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
#s(literal 2 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) (neg.f64 beta)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))
(/.f64 (+.f64 #s(literal 3 binary64) alpha) (neg.f64 beta))
(/.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 beta (+.f64 #s(literal 3 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 beta) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (neg.f64 alpha) #s(literal -3 binary64))))
(/.f64 (+.f64 (neg.f64 alpha) #s(literal -3 binary64)) beta)
(/.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 27 binary64)) (.f64 (neg.f64 beta) (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 alpha alpha)) (.f64 (neg.f64 beta) (-.f64 #s(literal 3 binary64) alpha)))
(/.f64 (neg.f64 (+.f64 (neg.f64 alpha) #s(literal -3 binary64))) (neg.f64 beta))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))) (.f64 beta (.f64 beta beta)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (.f64 beta beta)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (.f64 beta beta))) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 alpha) #s(literal -3 binary64))) (neg.f64 beta))
(/.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) beta)
(pow.f64 (neg.f64 (/.f64 beta (+.f64 #s(literal 3 binary64) alpha))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 beta) (+.f64 #s(literal 3 binary64) alpha)) #s(literal -1 binary64))
(pow.f64 (/.f64 beta (+.f64 (neg.f64 alpha) #s(literal -3 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 #s(literal 1 binary64) (neg.f64 beta)))
(*.f64 (+.f64 #s(literal 3 binary64) alpha) (neg.f64 (/.f64 #s(literal 1 binary64) beta)))
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta))
(*.f64 (+.f64 (neg.f64 alpha) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) beta))
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(+.f64 (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) alpha))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha alpha)) (.f64 (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal -4 binary64)) (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha alpha)))
(+.f64 (.f64 (.f64 alpha (.f64 alpha (+.f64 #s(literal 3 binary64) alpha))) (+.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha #s(literal -4 binary64) #s(literal -12 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(+.f64 (.f64 alpha (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (.f64 alpha (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))))
(+.f64 (.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (.f64 #s(literal -4 binary64) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (.f64 (.f64 alpha alpha) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 alpha (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) (.f64 alpha (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))))
(fma.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (.f64 #s(literal -4 binary64) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 #s(literal -4 binary64) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) alpha (.f64 (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal 2 binary64) (.f64 (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) alpha))
(fma.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 alpha (.f64 alpha (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha #s(literal -4 binary64) #s(literal -12 binary64))))
(fma.f64 (.f64 alpha (.f64 alpha (+.f64 #s(literal 3 binary64) alpha))) (+.f64 alpha #s(literal 2 binary64)) (*.f64 (fma.f64 alpha #s(literal -4 binary64) #s(literal -12 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(fma.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha alpha) (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal -4 binary64)))
(fma.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal -4 binary64) (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha alpha)))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) (fma.f64 alpha (.f64 alpha alpha) #s(literal 8 binary64))) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (.f64 alpha #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 (.f64 alpha alpha) (.f64 alpha (.f64 alpha (.f64 alpha alpha))) #s(literal -64 binary64))) (-.f64 (fma.f64 alpha (.f64 alpha (.f64 alpha alpha)) #s(literal 16 binary64)) (.f64 (.f64 alpha alpha) #s(literal -4 binary64))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 (.f64 alpha alpha) (.f64 alpha alpha) #s(literal -16 binary64))) (fma.f64 alpha alpha #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (.f64 alpha #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (+.f64 alpha #s(literal -2 binary64)))
(.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 alpha #s(literal 2 binary64)))
(.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))
(.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))
(.f64 (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 alpha alpha #s(literal -4 binary64)))
(.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 #s(literal 3 binary64) alpha))

eval168.0ms (1.4%)

Memory: -6.9MiB live, 240.1MiB allocated
Compiler: Compiled 33 512 to 2 354 computations (93% saved)

prune146.0ms (1.2%)

Memory

16.9MiB live, 390.6MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	817	10	827
Fresh	0	11	11
Picked	4	1	5
Done	0	6	6
Total	821	28	849

Accuracy

100.0%

Counts

849 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))
	58.8%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
	50.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	50.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta))) beta)) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))
	52.8%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
	52.3%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
	51.3%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
	51.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
	48.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
	12.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) 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 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
✓	42.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
✓	89.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	50.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(approx (+ (* beta (+ beta 7)) 16) #s(literal 16 binary64)) #s(literal 12 binary64)))))
✓	49.2%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
	5.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) (*.f64 alpha alpha)))
✓	48.0%	#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)))
	49.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) alpha)))
✓	49.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
	50.0%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	49.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
✓	49.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
✓	50.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
	31.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha 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))))
	54.6%	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 #s(approx (* (+ alpha 1) (+ alpha -2)) (fma.f64 alpha (+.f64 alpha #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
	51.2%	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	51.1%	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	51.0%	#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))))

Compiler

Compiled 1 316 to 436 computations (66.9% saved)

regimes71.0ms (0.6%)

Memory

-3.4MiB live, 90.3MiB 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 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) 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)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(approx (+ (* beta (+ beta 7)) 16) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(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) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #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 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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) 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 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) beta))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 #s(approx (* (+ alpha 1) (+ alpha -2)) (fma.f64 alpha (+.f64 alpha #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #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 #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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 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 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* 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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta))) beta)) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 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)) (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) alpha)))
(/.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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 alpha beta (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+.f64 (fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))))

Outputs

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

Calls

3 calls:

29.0ms

beta

26.0ms

alpha

12.0ms

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

Results

Accuracy	Segments	Branch
99.9%	2	`alpha`
99.9%	2	`beta`
99.9%	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)))`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes17.0ms (0.1%)

Memory

-12.4MiB live, 42.0MiB 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 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) 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)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(approx (+ (* beta (+ beta 7)) 16) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(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) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #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 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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) 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 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) beta))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 #s(approx (* (+ alpha 1) (+ alpha -2)) (fma.f64 alpha (+.f64 alpha #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #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 #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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 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 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* 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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Outputs

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

Calls

1 calls:

13.0ms

beta

Results

Accuracy	Segments	Branch
99.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes40.0ms (0.3%)

Memory

45.5MiB live, 92.1MiB 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 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) 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)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(approx (+ (* beta (+ beta 7)) 16) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(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) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #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 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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) 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 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) beta))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 #s(approx (* (+ alpha 1) (+ alpha -2)) (fma.f64 alpha (+.f64 alpha #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal -2 binary64))) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #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 #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)))) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 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 (+.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 (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 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64)))))

Calls

3 calls:

14.0ms

alpha

12.0ms

beta

11.0ms

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

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
99.9%	2	`alpha`
99.9%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes61.0ms (0.5%)

Memory

-6.4MiB live, 84.5MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

34.0ms

alpha

12.0ms

beta

11.0ms

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

Results

Accuracy	Segments	Branch
99.1%	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)))`
99.8%	2	`alpha`
99.8%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes50.0ms (0.4%)

Memory

-31.5MiB live, 50.7MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

36.0ms	beta
12.0ms	alpha

Results

Accuracy	Segments	Branch
99.3%	2	`alpha`
99.3%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-13.5MiB live, 33.1MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

13.0ms

beta

Results

Accuracy	Segments	Branch
99.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory

19.8MiB live, 64.2MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

13.0ms	beta
10.0ms	alpha

Results

Accuracy	Segments	Branch
93.9%	2	`alpha`
99.1%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

9.5MiB live, 53.6MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms

beta

9.0ms

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

Results

Accuracy	Segments	Branch
97.4%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
99.0%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes15.0ms (0.1%)

Memory

-32.7MiB live, 22.0MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

13.0ms

beta

Results

Accuracy	Segments	Branch
99.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB 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 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) 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)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta #s(approx (+ (* beta (+ beta 7)) 16) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(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) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #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 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.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) 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 alpha #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))

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

Calls

1 calls:

9.0ms

beta

Results

Accuracy	Segments	Branch
98.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-14.0MiB live, 29.6MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

beta

Results

Accuracy	Segments	Branch
98.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

beta

Results

Accuracy	Segments	Branch
98.7%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

-12.2MiB live, 33.2MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms

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
96.5%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
96.5%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
96.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-34.0MiB live, 13.1MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
95.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
95.2%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

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

Calls

3 calls:

3.0ms

alpha

3.0ms

beta

3.0ms

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

Results

Accuracy	Segments	Branch
66.8%	2	`alpha`
79.7%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
79.7%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes11.0ms (0.1%)

Memory

-30.2MiB live, 27.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms

beta

3.0ms

alpha

3.0ms

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

Results

Accuracy	Segments	Branch
52.3%	1	`alpha`
52.3%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
52.3%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes8.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

3.0ms

alpha

3.0ms

beta

2.0ms

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

Results

Accuracy	Segments	Branch
51.3%	1	`alpha`
51.3%	1	`beta`
51.3%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes8.0ms (0.1%)

Memory

-32.1MiB live, 14.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

3.0ms

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

2.0ms

beta

2.0ms

alpha

Results

Accuracy	Segments	Branch
51.1%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
51.1%	1	`alpha`
51.1%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes6.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

3 calls:

2.0ms

beta

2.0ms

alpha

2.0ms

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

Results

Accuracy	Segments	Branch
51.0%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
51.0%	1	`alpha`
51.0%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

3 calls:

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
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	`alpha`
50.6%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch19.0ms (0.2%)

Memory

-16.9MiB live, 29.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	21.50197161188748	2956187355.62234

Samples

11.0ms

144×

valid

Compiler

Compiled 751 to 433 computations (42.3% saved)

Precisions

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

ival-add: 4.0ms (47.9% of total)

ival-div: 2.0ms (23.9% of total)

ival-mult: 2.0ms (23.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	21.50197161188748	2956187355.62234

Compiler

Compiled 724 to 406 computations (43.9% saved)

bsearch4.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	9.178943361726222e+30	3.762248054577669e+33

Samples

2.0ms

32×

valid

Compiler

Compiled 168 to 95 computations (43.5% saved)

Precisions

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

ival-add: 1.0ms (62.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

27.8MiB live, 27.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	165622218970.60983	8531829204353579.0

Samples

9.0ms

128×

valid

Compiler

Compiled 496 to 291 computations (41.3% saved)

Precisions

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

ival-add: 3.0ms (47.3% of total)

ival-div: 2.0ms (31.5% of total)

ival-mult: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

-38.0MiB live, 8.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	165622218970.60983	8531829204353579.0

Samples

5.0ms

32×

valid

Compiler

Compiled 448 to 275 computations (38.6% saved)

Precisions

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

ival-add: 3.0ms (76.8% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	165622218970.60983	8531829204353579.0

Compiler

Compiled 392 to 235 computations (40.1% saved)

bsearch16.0ms (0.1%)

Memory

29.1MiB live, 29.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0025532567025499946	21.50197161188748

Samples

9.0ms

128×

valid

Compiler

Compiled 392 to 235 computations (40.1% saved)

Precisions

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

ival-add: 3.0ms (46.9% of total)

ival-div: 2.0ms (31.3% of total)

ival-mult: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

-30.0MiB live, 19.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0025532567025499946	21.50197161188748

Samples

9.0ms

96×

valid

Compiler

Compiled 384 to 251 computations (34.6% saved)

Precisions

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

ival-add: 4.0ms (56.4% of total)

ival-div: 1.0ms (14.1% of total)

ival-mult: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0025532567025499946	21.50197161188748

Compiler

Compiled 344 to 219 computations (36.3% saved)

bsearch3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.0025532567025499946	21.50197161188748

Samples

1.0ms

16×

valid

Compiler

Compiled 280 to 171 computations (38.9% 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)

bsearch12.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8531829204353579.0	91069064594086270.0

Samples

7.0ms

96×

valid

Compiler

Compiled 214 to 133 computations (37.9% saved)

Precisions

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

ival-add: 2.0ms (41.1% of total)

ival-div: 1.0ms (20.5% of total)

ival-mult: 1.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.0025532567025499946	21.50197161188748

Samples

5.0ms

64×

valid

Compiler

Compiled 248 to 155 computations (37.5% saved)

Precisions

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

ival-div: 1.0ms (31.2% of total)

ival-add: 1.0ms (31.2% of total)

ival-mult: 1.0ms (31.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0025532567025499946	21.50197161188748

Compiler

Compiled 264 to 163 computations (38.3% saved)

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0025532567025499946	21.50197161188748

Compiler

Compiled 248 to 155 computations (37.5% saved)

bsearch3.0ms (0%)

Memory

-42.9MiB live, 4.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.0025532567025499946	21.50197161188748

Samples

1.0ms

16×

valid

Compiler

Compiled 240 to 147 computations (38.8% 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

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0025532567025499946	21.50197161188748

Compiler

Compiled 216 to 131 computations (39.4% saved)

bsearch16.0ms (0.1%)

Memory

33.0MiB live, 33.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.792525390049707e+72	3.457136449347855e+75

Samples

9.0ms

128×

valid

Compiler

Compiled 216 to 123 computations (43.1% saved)

Precisions

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

ival-add: 3.0ms (48.1% of total)

ival-div: 2.0ms (32.1% of total)

ival-mult: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

simplify91.0ms (0.8%)

Memory

-24.5MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Rules

400×	`distribute-lft-neg-in_binary64`
300×	`unsub-neg_binary64`
224×	`neg-mul-1_binary64`
212×	`neg-sub0_binary64`
190×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	217	1907
1	267	1903
2	286	1903
3	306	1899
4	333	1899
5	373	1899
6	461	1899
7	608	1899
8	823	1899
9	1116	1899
10	1339	1899
11	1481	1899
12	1537	1899
13	1559	1899
14	1564	1899
15	1565	1899

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 2900000000 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 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta))) beta)) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))))))
(if (<=.f64 beta #s(literal 2900000000 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 (+.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))))
(if (<=.f64 beta #s(literal 200000000000000010732324408786944 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 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))))))
(if (<=.f64 beta #s(literal 8500000000000000 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 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))))))
(if (<=.f64 beta #s(literal 6600000000000000 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 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) #s(literal -1 binary64))))))
(if (<=.f64 beta #s(literal 6600000000000000 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 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
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(if (<=.f64 beta #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) (/.f64 #s(approx (* (+ alpha 1) (+ alpha -2)) (fma.f64 alpha (+.f64 alpha #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
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(if (<=.f64 beta #s(literal 3602879701896397/1125899906842624 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))))
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(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))

Outputs
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(if (<=.f64 beta #s(literal 2900000000 binary64)) (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 #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 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (+.f64 alpha #s(literal 1 binary64)))) beta)) #s(approx (+ (+ (+ alpha beta) ( 2 1)) 1) (*.f64 beta (+.f64 (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta) #s(literal 1 binary64))))))
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(if (<=.f64 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)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(if (<=.f64 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)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 (+.f64 alpha #s(literal 3 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 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 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
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(if (<=.f64 beta #s(literal 4728779608739021/1125899906842624 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 (+.f64 alpha #s(literal 3 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 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)))
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(if (<=.f64 beta #s(literal 9200000000000000 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 3602879701896397/1125899906842624 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 3602879701896397/1125899906842624 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 3602879701896397/1125899906842624 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))))
(if (<=.f64 beta #s(literal 3602879701896397/1125899906842624 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (.f64 beta beta)))))
(if (<=.f64 beta #s(literal 3602879701896397/1125899906842624 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 3602879701896397/1125899906842624 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 9800000000000000116199806683021627193313422680215951920007680116456947712 binary64)) #s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 alpha #s(literal 3 binary64))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (* (/ (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (+ alpha (+ beta 3))) (/ (+ (+ alpha beta) -2) (+ (+ alpha beta) 2))) #s(approx (/ (* (+ alpha 1) (+ alpha -2)) (* (+ alpha 2) (* (+ 3 alpha) (+ (* alpha alpha) -4)))) (fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))

soundness1.5s (12.3%)

Memory

34.1MiB live, 1 101.4MiB allocated

Rules

7 140×	`lower-+.f64`
7 140×	`lower-+.f32`
6 772×	`lower-fma.f64`
6 772×	`lower-fma.f32`
5 856×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	395
0	81	353
1	393	333
2	3532	333
0	8966	333
0	73	429
0	104	407
1	557	369
2	5239	369
0	8117	359
0	1748	25403
1	6100	24946
0	8098	23444
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	1209	20949
1	4145	20031
0	8184	18903

Stop Event

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

Compiler

Compiled 2 221 to 972 computations (56.2% saved)

preprocess167.0ms (1.4%)

Memory: 46.9MiB live, 394.8MiB allocated
Compiler: Compiled 1 916 to 540 computations (71.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.8s (14.7%)

explain911.0ms (7.6%)

preprocess660.0ms (5.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify579.0ms (4.8%)

localize46.0ms (0.4%)

series32.0ms (0.3%)

simplify320.0ms (2.7%)

rewrite261.0ms (2.2%)

eval51.0ms (0.4%)

prune116.0ms (1%)

simplify258.0ms (2.1%)

localize388.0ms (3.2%)

series142.0ms (1.2%)

simplify554.0ms (4.6%)

rewrite300.0ms (2.5%)

eval215.0ms (1.8%)

prune252.0ms (2.1%)

simplify299.0ms (2.5%)

localize109.0ms (0.9%)

series26.0ms (0.2%)

simplify351.0ms (2.9%)

rewrite310.0ms (2.6%)

eval105.0ms (0.9%)

prune109.0ms (0.9%)

simplify247.0ms (2.1%)

localize230.0ms (1.9%)

series51.0ms (0.4%)

simplify396.0ms (3.3%)

rewrite312.0ms (2.6%)

eval168.0ms (1.4%)

prune146.0ms (1.2%)

regimes71.0ms (0.6%)

regimes17.0ms (0.1%)

regimes40.0ms (0.3%)

regimes61.0ms (0.5%)

regimes50.0ms (0.4%)

regimes15.0ms (0.1%)

regimes25.0ms (0.2%)

regimes24.0ms (0.2%)

regimes15.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes16.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

bsearch19.0ms (0.2%)

bsearch1.0ms (0%)

bsearch4.0ms (0%)

bsearch16.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch16.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch12.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch16.0ms (0.1%)

simplify91.0ms (0.8%)

soundness1.5s (12.3%)

preprocess167.0ms (1.4%)

end0.0ms (0%)

Profiling