Metrics for Octave 3.8, jcobi/3

analyze5.0ms (0%)

Memory

-38.3MiB live, 5.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
50%	28.1%	28.1%	43.8%	0%	0%	0%	2
75%	42.1%	14%	43.8%	0%	0%	0%	3
87.5%	49.2%	7%	43.8%	0%	0%	0%	4
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	5
96.9%	54.4%	1.8%	43.8%	0%	0%	0%	6
98.4%	55.3%	0.9%	43.8%	0%	0%	0%	7
99.2%	55.7%	0.4%	43.8%	0%	0%	0%	8
99.6%	56%	0.2%	43.8%	0%	0%	0%	9
99.8%	56.1%	0.1%	43.8%	0%	0%	0%	10
99.9%	56.1%	0.1%	43.8%	0%	0%	0%	11
100%	56.1%	0%	43.8%	0%	0%	0%	12

Compiler

Compiled 43 to 19 computations (55.8% saved)

sample1.2s (9.2%)

Memory

60.7MiB live, 1 813.3MiB allocated

Samples

815.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 633.0ms

ival-add: 252.0ms (39.8% of total)

ival-div: 153.0ms (24.2% of total)

ival-mult: 136.0ms (21.5% of total)

ival->: 66.0ms (10.4% of total)

exact: 13.0ms (2.1% of total)

ival-and: 10.0ms (1.6% of total)

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

Bogosity

preprocess1.0s (7.9%)

Memory

36.7MiB live, 1 029.7MiB 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)

explain439.0ms (3.5%)

Memory

-33.0MiB live, 184.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(/.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	13	0
↳	`(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))`	overflow	13
↳	`(*.f64 beta alpha)`	overflow	13
↳	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))`	overflow	13

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	508×	0	valid
1.0ms	2×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 322 to 60 computations (81.4% saved)

Precisions

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

ival-add: 11.0ms (43.1% of total)

ival-div: 8.0ms (31.3% of total)

ival-mult: 6.0ms (23.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

94.8%

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

simplify1.1s (8.3%)

Memory

26.4MiB live, 855.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (0.4%)

Memory

-10.7MiB live, 67.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	95.1%	(/.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

29.0ms	254×	0	valid
3.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 6.0ms (38.4% of total)

ival-div: 4.0ms (25.6% of total)

adjust: 3.0ms (19.2% of total)

ival-mult: 3.0ms (19.2% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory

1.6MiB live, 38.3MiB allocated

Counts

6 → 120

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>) () ())
#s(alt (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) (patch (+.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>) () ())) ())
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Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	alpha	@	0	(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
2.0ms	alpha	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	beta	@	0	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	beta	@	-inf	(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms	beta	@	-inf	(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))

rewrite365.0ms (2.9%)

Memory

-10.4MiB live, 522.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	78
0	26	74
1	123	66
2	1161	66
0	8168	63

Stop Event

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

Counts

6 → 350

Calls

Call 1

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

simplify343.0ms (2.7%)

Memory

29.1MiB live, 692.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 204×	`lower-+.f64`
7 204×	`lower-+.f32`
6 788×	`lower-fma.f64`
6 788×	`lower-fma.f32`
5 044×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	695	5618
1	2463	5394
0	8239	5122

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 112

Calls

Call 1

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

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

eval82.0ms (0.6%)

Memory: -19.4MiB live, 168.8MiB allocated
Compiler: Compiled 28 681 to 2 062 computations (92.8% saved)

prune127.0ms (1%)

Memory

-11.5MiB live, 167.3MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	577	15	592
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	578	15	593

Accuracy

100.0%

Counts

593 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	52.5%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	91.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	60.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	53.8%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	53.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	45.7%	(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta))
	81.9%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
▶	83.0%	(/.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))))
	4.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
	51.2%	(/.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)))
▶	48.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	68.3%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal -1 binary64)))) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	59.6%	(.f64 (/.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal -1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
	60.1%	(.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))

Compiler

Compiled 854 to 446 computations (47.8% saved)

simplify371.0ms (2.9%)

Memory

25.5MiB live, 612.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

19 100×	`lower-fma.f32`
19 098×	`lower-fma.f64`
4 440×	`lower-+.f32`
4 420×	`lower-+.f64`
3 030×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	324
0	66	312
1	120	312
2	318	312
3	1269	312
4	5718	312
5	7250	312
0	8247	309

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (1.3%)

Memory

-11.9MiB live, 217.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))
✓	accuracy	99.9%	(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.7%	(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	89.2%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	94.5%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	accuracy	72.1%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

Samples

69.0ms	254×	0	valid
1.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 360 to 38 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 21.0ms (46% of total)

ival-div: 14.0ms (30.7% of total)

ival-mult: 8.0ms (17.5% of total)

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

exact: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

series59.0ms (0.5%)

Memory

27.9MiB live, 69.8MiB allocated

Counts

18 → 324

Calls

Call 1

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

Outputs
#s(alt (/ 1/4 (+ 3 alpha)) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha)))) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha)))) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha)))) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta) (taylor inf beta) (#s(alt (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta) (taylor inf beta) (#s(alt (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta) (taylor inf beta) (#s(alt (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 alpha) beta) (taylor -inf beta) (#s(alt (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta)) (taylor -inf beta) (#s(alt (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta)) (taylor -inf beta) (#s(alt (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta)) (taylor -inf beta) (#s(alt (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ -4 beta) (taylor 0 alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (- (* -6 (/ alpha beta)) (* 4 (/ 1 beta))) (taylor 0 alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta))) (taylor 0 alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta))) (taylor 0 alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow alpha 2) beta)) (taylor inf alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta)))))) (taylor inf alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta)))) (taylor inf alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta)))) (taylor inf alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow alpha 2) beta)) (taylor -inf alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta)))))) (taylor -inf alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta)))) (taylor -inf alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta)))) (taylor -inf alpha) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor 0 beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor 0 beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor 0 beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor 0 beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor inf beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor inf beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor inf beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor inf beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor -inf beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor -inf beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor -inf beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (taylor -inf beta) (#s(alt (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (patch (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
11.0ms	alpha	@	0	(/ (+ (+ (+ 1 alpha) (+ (/ 1 beta) (/ alpha beta))) (* (- -1 alpha) (/ (+ (* 2 alpha) 4) beta))) beta)
3.0ms	beta	@	-inf	(/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1)))
3.0ms	beta	@	inf	(* (+ beta 2) (+ beta 2))
2.0ms	alpha	@	0	(/ (/ (+ (+ (+ 1 alpha) (+ (/ 1 beta) (/ alpha beta))) (* (- -1 alpha) (/ (+ (* 2 alpha) 4) beta))) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
1.0ms	alpha	@	0	(/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))

rewrite579.0ms (4.6%)

Memory

-113.3MiB live, 482.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 546×	`lower-/.f32`
5 524×	`lower-/.f64`
2 840×	`lower-*.f32`
2 832×	`lower-*.f64`
2 082×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	206
0	66	188
1	320	182
2	3366	182
0	8642	179

Stop Event

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

Counts

18 → 766

Calls

Call 1

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

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

simplify700.0ms (5.5%)

Memory

-15.4MiB live, 651.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 518×	`lower-*.f64`
6 518×	`lower-*.f32`
6 394×	`lower-fma.f64`
6 394×	`lower-fma.f32`
5 950×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1121	7398
1	3691	7181
0	9036	6879

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 312

Calls

Call 1

Inputs
(/ 1/4 (+ 3 alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
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1/4
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(/ 1 beta)
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(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
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1
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(* alpha (+ 1 (/ 1 alpha)))
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(* beta (+ 1 (/ 1 beta)))
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12
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(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
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(+ 4 (* 4 beta))
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(/ 1 alpha)
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(/ (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))
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(/ (+ 1 alpha) (pow beta 2))
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(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (pow beta 2))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ 5 (* 2 alpha)))))) (* -1 (* (+ 5 (* 2 alpha)) (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))))))) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))) (pow beta 2)) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (/ (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2)) beta)) (/ (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))) beta)) (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))))) beta)) (* -1 (/ (* (+ (* -1 (* (+ 1 alpha) (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))) beta))) (+ (* -1 (* (+ 1 alpha) (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))))) beta)) (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))))) beta)))) (pow beta 2))
(/ 1 (+ 2 beta))
(+ (* alpha (- (/ 1 (+ 2 beta)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
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1
(+ 1 (* -1 (/ (+ 1 beta) alpha)))
(- (+ 1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha)))
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1
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(/ (+ 1 alpha) (+ 2 alpha))
(+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
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(/ (+ 1 alpha) beta)
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 2 alpha)) beta)))) beta)
(/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta)
(/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) beta) (* (+ 1 alpha) (+ 2 alpha))) beta))) beta))
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(/ (- 1 (* 3 (/ 1 beta))) (* beta (+ 3 beta)))
(- (+ (* alpha (- (+ (* 3 (/ 1 (* (pow beta 2) (pow (+ 3 beta) 2)))) (/ 1 (* beta (+ 3 beta)))) (+ (* 5 (/ 1 (* (pow beta 2) (+ 3 beta)))) (/ 1 (* beta (pow (+ 3 beta) 2)))))) (/ 1 (* beta (+ 3 beta)))) (/ 3 (* (pow beta 2) (+ 3 beta))))
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(* -2 (/ alpha (pow beta 2)))
(* alpha (- (/ 1 (* alpha beta)) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
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(* alpha (- (+ (* -1 (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* 3 (/ 1 (pow beta 2))) (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2))))))))) (pow alpha 3))) (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta)))) (+ (* -2 (/ (+ 3 beta) (* alpha (pow beta 2)))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (+ (/ 5 (* alpha (pow beta 2))) (/ (* (+ 3 beta) (- (/ 1 beta) (+ (* -2 (/ (+ 3 beta) (pow beta 2))) (* 5 (/ 1 (pow beta 2)))))) (pow alpha 2))))))))
(* -2 (/ alpha (pow beta 2)))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta)) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2))))))) alpha)) (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta))) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ 3 beta) (- (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta)) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2)))))))) alpha)) (* -1 (/ (- 1 (* 3 (/ 1 beta))) beta))) (* -1 (* (+ 3 beta) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) beta)) (* -2 (/ (+ 3 beta) (pow beta 2))))))) alpha))) (* -2 (/ (+ 3 beta) (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))))
(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (pow beta 2) (+ 3 alpha)))
(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (* beta (- (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 3))) (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3)))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
(/ (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (+ 3 alpha))) (+ (* beta (- (+ (* beta (- (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 3))) (+ (* beta (- (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 4))) (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4)))))) (+ (/ 1 (pow (+ 3 alpha) 3)) (/ alpha (pow (+ 3 alpha) 3))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 3 alpha) 2))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha))))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (* -1 (/ (* (+ 3 alpha) (- (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 3 alpha) 2) (- (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 3))))))) (+ (/ (* (+ 1 alpha) (+ 3 alpha)) beta) (/ (* (+ 3 alpha) (- (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (* (+ 1 alpha) (+ 3 alpha)))) (pow beta 2)))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) beta)))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) (/ (* (+ 3 alpha) (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) beta)) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) (* -1 (/ (+ (* -1 (* (+ 3 alpha) (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha))))) (/ (* (pow (+ 3 alpha) 2) (- (* -1 (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1)) (* (+ 1 alpha) (+ 3 alpha)))) beta)) beta))) beta)))) (pow beta 2))
(- 1 (* 3 (/ 1 beta)))
(- (+ 1 (* alpha (- 1 (* 5 (/ 1 beta))))) (* 3 (/ 1 beta)))
(- (+ 1 (* alpha (- (+ 1 (* -2 (/ alpha beta))) (* 5 (/ 1 beta))))) (* 3 (/ 1 beta)))
(- (+ 1 (* alpha (- (+ 1 (* -2 (/ alpha beta))) (* 5 (/ 1 beta))))) (* 3 (/ 1 beta)))
(* -2 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (/ 1 alpha) (+ (* 2 (/ 1 beta)) (/ 5 (* alpha beta)))))
(* (pow alpha 2) (- (+ (/ 1 alpha) (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 beta)) (+ (* 3 (/ 1 (* (pow alpha 2) beta))) (/ 5 (* alpha beta))))))
(* (pow alpha 2) (- (+ (/ 1 alpha) (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 beta)) (+ (* 3 (/ 1 (* (pow alpha 2) beta))) (/ 5 (* alpha beta))))))
(* -2 (/ (pow alpha 2) beta))
(* (pow alpha 2) (- (* -1 (/ (- (* 5 (/ 1 beta)) 1) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 3 (/ 1 beta))) alpha)) (* 5 (/ 1 beta))) 1) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 3 (/ 1 beta))) alpha)) (* 5 (/ 1 beta))) 1) alpha)) (* 2 (/ 1 beta))))
(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) beta)
(+ 1 alpha)
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(+ 1 (+ alpha (* -1 (/ (- (+ (* -1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))) 1) beta))))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(/ (- 1 (* 3 (/ 1 beta))) beta)
(- (+ (* alpha (- (/ 1 beta) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(- (+ (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta)) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(- (+ (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta)) (* 5 (/ 1 (pow beta 2))))) (/ 1 beta)) (/ 3 (pow beta 2)))
(* -2 (/ (pow alpha 2) (pow beta 2)))
(* (pow alpha 2) (- (/ 1 (* alpha beta)) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2))))))
(* (pow alpha 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(* (pow alpha 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* (pow alpha 2) beta))) (+ (* 3 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 2))) (/ 5 (* alpha (pow beta 2)))))))
(* -2 (/ (pow alpha 2) (pow beta 2)))
(* (pow alpha 2) (- (* -1 (/ (- (* 5 (/ 1 (pow beta 2))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 beta) (* 3 (/ 1 (pow beta 2)))) alpha)) (* 5 (/ 1 (pow beta 2)))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 beta) (* 3 (/ 1 (pow beta 2)))) alpha)) (* 5 (/ 1 (pow beta 2)))) (/ 1 beta)) alpha)) (* 2 (/ 1 (pow beta 2)))))
(/ (+ 1 (+ alpha (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/ (+ 1 (+ alpha (+ (* -1 (* (+ 1 alpha) (+ 4 (* 2 alpha)))) (* beta (+ 1 alpha))))) (pow beta 2))
(/ (+ 1 alpha) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/ (+ 1 (+ alpha (+ (* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) (+ (/ 1 beta) (/ alpha beta))))) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ alpha beta)) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))) (/ 1 beta)) beta))
(/ -4 beta)
(- (* -6 (/ alpha beta)) (* 4 (/ 1 beta)))
(- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta)))
(- (* alpha (- (* -2 (/ alpha beta)) (* 6 (/ 1 beta)))) (* 4 (/ 1 beta)))
(* -2 (/ (pow alpha 2) beta))
(* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta))))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* -2 (/ (pow alpha 2) beta))
(* -1 (* (pow alpha 2) (+ (* 2 (/ 1 beta)) (* 6 (/ 1 (* alpha beta))))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* (pow alpha 2) (- (* -1 (/ (+ (* 6 (/ 1 beta)) (* 4 (/ 1 (* alpha beta)))) alpha)) (* 2 (/ 1 beta))))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))
(* -1 (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta))

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

eval284.0ms (2.2%)

Memory: 32.6MiB live, 492.9MiB allocated
Compiler: Compiled 50 766 to 4 025 computations (92.1% saved)

prune273.0ms (2.2%)

Memory

13.2MiB live, 522.9MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 551	21	1 572
Fresh	6	4	10
Picked	4	1	5
Done	0	0	0
Total	1 561	26	1 587

Accuracy

100.0%

Counts

1 587 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	66.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) (.f64 beta 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)))
▶	58.3%	(/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
	52.5%	(/.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta)
	60.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
	53.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	52.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.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)))
	45.7%	(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta))
	81.9%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
▶	83.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
	72.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
▶	49.5%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	55.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
▶	51.2%	(/.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)))
✓	48.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	60.4%	(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
	29.5%	(/.f64 alpha (*.f64 beta beta))
	52.7%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
	45.6%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	2.6%	(/.f64 #s(literal 1 binary64) alpha)
	48.8%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
	60.1%	(.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
	60.4%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	48.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
	47.4%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
▶	48.4%	#s(literal 1/12 binary64)

Compiler

Compiled 883 to 550 computations (37.7% saved)

simplify352.0ms (2.8%)

Memory

-1.0MiB live, 484.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.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 beta) #s(literal 1 binary64))
✓	cost-diff	1088	(/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	0	(/.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)))
✓	cost-diff	0	(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
✓	cost-diff	0	(fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))
✓	cost-diff	0	(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))

Rules

7 406×	`lower-fma.f32`
7 400×	`lower-fma.f64`
3 684×	`lower-/.f32`
3 674×	`lower-/.f64`
3 482×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	174
0	56	168
1	125	168
2	359	164
3	1214	162
4	4268	162
5	7500	162
0	9224	161

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (1%)

Memory

21.2MiB live, 176.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))
✓	accuracy	89.2%	(/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
✓	accuracy	72.2%	(/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	accuracy	97.1%	(/.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)))
✓	accuracy	100.0%	(fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
✓	accuracy	100.0%	(+.f64 beta #s(literal 7 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
✓	accuracy	89.2%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))

Samples

91.0ms

256×

valid

Compiler

Compiled 183 to 36 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

const: 29.0ms (47.5% of total)

ival-add: 11.0ms (18% of total)

ival-mult: 11.0ms (18% of total)

ival-div: 7.0ms (11.5% of total)

ival-sub: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

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

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

series18.0ms (0.1%)

Memory

-2.7MiB live, 35.7MiB allocated

Counts

17 → 204

Calls

Call 1

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

Outputs
#s(alt 1/12 (taylor 0 beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* -1/36 beta)) (taylor 0 beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* beta (- (* -5/432 beta) 1/36))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36))) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor 0 beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor 0 beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor 0 beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor 0 beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor inf beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor inf beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor inf beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor inf beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor -inf beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor -inf beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor -inf beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor -inf beta) (#s(alt (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt 7 (taylor 0 beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 7 beta) (taylor 0 beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 7 beta) (taylor 0 beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 7 beta) (taylor 0 beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt beta (taylor inf beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (* 7 (/ 1 beta)))) (taylor inf beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (* 7 (/ 1 beta)))) (taylor inf beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (* 7 (/ 1 beta)))) (taylor inf beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt beta (taylor -inf beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (* 7 (/ 1 beta)))) (taylor -inf beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (* 7 (/ 1 beta)))) (taylor -inf beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (* 7 (/ 1 beta)))) (taylor -inf beta) (#s(alt (+.f64 beta #s(literal 7 binary64)) (patch (+.f64 beta #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt 12 (taylor 0 beta) (#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 (+ 12 (* 16 beta)) (taylor 0 beta) (#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 (+ 12 (* beta (+ 16 (* 7 beta)))) (taylor 0 beta) (#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 (+ 12 (* beta (+ 16 (* beta (+ 7 beta))))) (taylor 0 beta) (#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 (pow beta 3) (taylor inf beta) (#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 (* (pow beta 3) (+ 1 (* 7 (/ 1 beta)))) (taylor inf beta) (#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 (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2))))) (taylor inf beta) (#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 (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2)))))) (taylor inf beta) (#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 (pow beta 3) (taylor -inf beta) (#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 (* (pow beta 3) (+ 1 (* 7 (/ 1 beta)))) (taylor -inf beta) (#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 (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1))) (taylor -inf beta) (#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 (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1))) (taylor -inf beta) (#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 4 (taylor 0 beta) (#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 (+ 4 (* 4 beta)) (taylor 0 beta) (#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 (+ 4 (* beta (+ 4 beta))) (taylor 0 beta) (#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 (+ 4 (* beta (+ 4 beta))) (taylor 0 beta) (#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 (pow beta 2) (taylor inf beta) (#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 (* (pow beta 2) (+ 1 (* 4 (/ 1 beta)))) (taylor inf beta) (#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 (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2))))) (taylor inf beta) (#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 (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2))))) (taylor inf beta) (#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 (pow beta 2) (taylor -inf beta) (#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 (* (pow beta 2) (+ 1 (* 4 (/ 1 beta)))) (taylor -inf beta) (#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 (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2))))) (taylor -inf beta) (#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 (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2))))) (taylor -inf beta) (#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>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	inf	(/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))
0.0ms	beta	@	-inf	(/ (- (* beta beta) 1) (- beta 1))
0.0ms	alpha	@	-inf	(/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))
0.0ms	beta	@	inf	(/ (+ 1 beta) (+ (* beta (+ (* beta (+ beta 7)) 16)) 12))
0.0ms	beta	@	inf	(/ (- (* beta beta) 1) (- beta 1))

rewrite445.0ms (3.5%)

Memory

-42.5MiB live, 704.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 968×	`lower-/.f32`
4 958×	`lower-/.f64`
4 156×	`lower-fma.f32`
4 150×	`lower-fma.f64`
3 578×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	138
0	55	120
1	287	114
2	2477	114
0	9035	113

Stop Event

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

Counts

17 → 832

Calls

Call 1

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

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

simplify373.0ms (2.9%)

Memory

4.6MiB live, 511.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 210×	`lower-fma.f64`
9 210×	`lower-fma.f32`
4 512×	`lower-*.f64`
4 512×	`lower-*.f32`
2 380×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1348
1	742	1326
2	1869	1260
3	5934	1256
0	8129	1172

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 196

Calls

Call 1

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

eval147.0ms (1.2%)

Memory: 11.5MiB live, 331.0MiB allocated
Compiler: Compiled 31 834 to 3 108 computations (90.2% saved)

prune216.0ms (1.7%)

Memory

-9.8MiB live, 402.3MiB allocated

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	1 119	11	1 130
Fresh	1	19	20
Picked	2	3	5
Done	0	1	1
Total	1 122	34	1 156

Accuracy

100.0%

Counts

1 156 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	48.5%	(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 2/81 binary64) alpha #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	48.4%	(fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	48.4%	(fma.f64 #s(literal -1/36 binary64) alpha #s(literal 1/12 binary64))
	57.5%	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta beta #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) beta)) (-.f64 beta #s(literal 1 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
	66.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) (.f64 beta 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)))
▶	12.2%	(/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (*.f64 beta beta)))
	52.5%	(/.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta)
	60.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
	53.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	52.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.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)))
	45.7%	(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta))
	81.9%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
✓	83.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
▶	72.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
▶	82.2%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))
✓	49.5%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	37.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 7 binary64))))
	51.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 #s(literal 7 binary64) alpha) #s(literal 16 binary64)) #s(literal 12 binary64)))
	55.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
✓	48.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	60.4%	(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
	29.5%	(/.f64 alpha (*.f64 beta beta))
	50.9%	(/.f64 #s(literal 1 binary64) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	52.7%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
▶	45.6%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	5.2%	(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
	2.6%	(/.f64 #s(literal 1 binary64) alpha)
	48.8%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
	60.4%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	48.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
	47.4%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
✓	48.4%	#s(literal 1/12 binary64)
▶	12.2%	#s(literal 1/16 binary64)

Compiler

Compiled 935 to 614 computations (34.3% saved)

simplify600.0ms (4.7%)

Memory

26.7MiB live, 849.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (*.f64 beta beta)))
✓	cost-diff	128	(-.f64 (*.f64 beta beta) #s(literal 1 binary64))
✓	cost-diff	1088	(/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
✓	cost-diff	0	(fma.f64 beta (fma.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) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓	cost-diff	0	(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
✓	cost-diff	0	(fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))

Rules

23 322×	`lower-fma.f32`
23 316×	`lower-fma.f64`
3 354×	`lower-+.f32`
3 350×	`lower-+.f64`
3 112×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	118
0	39	108
1	77	108
2	148	104
3	338	102
4	677	102
5	2677	102
6	7857	102
0	8920	101

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (0.7%)

Memory

-25.9MiB live, 128.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	99.9%	(.f64 beta (.f64 beta beta))
✓	accuracy	89.2%	(/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (*.f64 beta beta)))
✓	accuracy	72.2%	(/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	99.9%	(fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))
✓	accuracy	71.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
✓	accuracy	100.0%	(fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))
✓	accuracy	89.2%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))

Samples

40.0ms	247×	0	valid
2.0ms	5×	2	valid
1.0ms	4×	1	valid

Compiler

Compiled 127 to 27 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (35.7% of total)

ival-div: 7.0ms (27.7% of total)

ival-add: 6.0ms (23.8% of total)

ival-sub: 2.0ms (7.9% of total)

adjust: 1.0ms (4% of total)

exact: 1.0ms (4% of total)

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

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

series9.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 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 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())
#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<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 (.f64 beta beta) (patch (.f64 beta beta) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)) (patch (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) (patch (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (patch (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (patch (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())
#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())

Outputs
#s(alt 1/12 (taylor 0 beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/12 beta)) (taylor 0 beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* beta (+ 1/12 (* -7/144 beta)))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* beta (+ 1/12 (* beta (- (* -1/18 beta) 7/144))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 42 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 42 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 306 (/ 1 (pow beta 3))))) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- 6 (* 42 (/ 1 beta))) beta))) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 42 (* 306 (/ 1 beta))) beta))) beta))) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt (+ 1 beta) (taylor 0 beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt (+ 1 beta) (taylor 0 beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt (+ 1 beta) (taylor 0 beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt beta (taylor inf beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ 1 beta))) (taylor inf beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ 1 beta))) (taylor inf beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ 1 beta))) (taylor inf beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt beta (taylor -inf beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ 1 beta))) (taylor -inf beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ 1 beta))) (taylor -inf beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ 1 beta))) (taylor -inf beta) (#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt 12 (taylor 0 beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 12 (* 7 (pow beta 2))) (taylor 0 beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 12 (* (pow beta 2) (+ 7 beta))) (taylor 0 beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 12 (* (pow beta 2) (+ 7 beta))) (taylor 0 beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor inf beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 3) (+ 1 (* 7 (/ 1 beta)))) (taylor inf beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 12 (pow beta 3))))) (taylor inf beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 12 (pow beta 3))))) (taylor inf beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor -inf beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 3) (+ 1 (* 7 (/ 1 beta)))) (taylor -inf beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 12 (/ 1 (pow beta 2)))) beta)) 1))) (taylor -inf beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 12 (/ 1 (pow beta 2)))) beta)) 1))) (taylor -inf beta) (#s(alt (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (patch (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 7 beta) (taylor 0 beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 7 beta)) (taylor 0 beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 7 beta)) (taylor 0 beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 7 beta)) (taylor 0 beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor inf beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ 1 (* 7 (/ 1 beta)))) (taylor inf beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ 1 (* 7 (/ 1 beta)))) (taylor inf beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ 1 (* 7 (/ 1 beta)))) (taylor inf beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor -inf beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ 1 (* 7 (/ 1 beta)))) (taylor -inf beta) (#s(alt (.f64 beta (+.f64 beta #s(literal 7 binary64))) (patch (.f64 beta (+.f64 beta #s(literal 7 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow beta 2) (- 1 (/ 1 (pow beta 2)))) (taylor -inf beta) (#s(alt (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (patch (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (- 1 (/ 1 (pow beta 2)))) (taylor -inf beta) (#s(alt (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (patch (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (- 1 (/ 1 (pow beta 2)))) (taylor -inf beta) (#s(alt (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (patch (-.f64 (.f64 beta beta) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow beta 3)) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 beta) (pow beta 3)) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 beta) (pow beta 3)) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 beta) (pow beta 3)) (taylor 0 beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 beta)) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 beta)) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 beta)) (pow beta 2)) (taylor inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 beta)) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 beta)) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 beta)) (pow beta 2)) (taylor -inf beta) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) (patch (/.f64 (/.f64 (-.f64 (.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor 0 beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor 0 beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor 0 beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor 0 beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor inf beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor inf beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor inf beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor inf beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor -inf beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor -inf beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor -inf beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt (pow beta 3) (taylor -inf beta) (#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())) ())

Calls

39 calls:

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

rewrite314.0ms (2.5%)

Memory

33.5MiB live, 655.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 906×	`lower-/.f32`
4 896×	`lower-/.f64`
4 792×	`lower-fma.f32`
4 786×	`lower-fma.f64`
3 486×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
0	38	82
1	186	74
2	1448	74
0	8363	73

Stop Event

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

Counts

13 → 738

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (+.f64 #s(literal 1 binary64) beta))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (/.f64 (/.f64 (.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -12 binary64) (.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64)))))) (/.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) beta))) (/.f64 (.f64 beta beta) (.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) beta))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (+.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (+.f64 #s(literal 1 binary64) beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta)) (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 1 binary64) (*.f64 beta beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 beta beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta) (/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (+.f64 #s(literal 1 binary64) beta))))
(/.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -12 binary64) (.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (-.f64 #s(literal 1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (neg.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta))))
(/.f64 (neg.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta))) (neg.f64 (.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))))
(/.f64 (/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) beta))
(/.f64 (neg.f64 (/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))) (neg.f64 (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) beta)))
(pow.f64 (/.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta)) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (+.f64 #s(literal 1 binary64) beta)))))
(.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))))
(.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta))))
(.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (+.f64 #s(literal 1 binary64) beta))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) beta))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) beta) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))))
(.f64 (/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 1 binary64)) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (.f64 beta (.f64 beta beta)) (.f64 (.f64 beta (+.f64 beta #s(literal 7 binary64))) (.f64 (.f64 beta (+.f64 beta #s(literal 7 binary64))) (.f64 beta (+.f64 beta #s(literal 7 binary64))))) #s(literal 1728 binary64))) (-.f64 (fma.f64 (.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64)))) (.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64)))) #s(literal 144 binary64)) (.f64 (.f64 beta (+.f64 beta #s(literal 7 binary64))) (*.f64 beta #s(literal 12 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64)))) (.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64)))) #s(literal -144 binary64))) (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal -12 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta)))
(.f64 (pow.f64 (/.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 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 (pow.f64 (/.f64 (fma.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (neg.f64 (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))) #s(literal -1 binary64)))
(-.f64 beta #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 beta) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) beta))
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(/.f64 (neg.f64 (fma.f64 (.f64 beta beta) (.f64 beta beta) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta)) (fma.f64 beta beta #s(literal 1 binary64)))))
(/.f64 (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 beta (.f64 beta beta))) (+.f64 (neg.f64 beta) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 beta (.f64 beta beta))) (+.f64 beta #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 beta beta)) beta)
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) beta) beta) beta)
(/.f64 (-.f64 (.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (.f64 (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta)) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 beta (.f64 beta beta))) (.f64 (.f64 beta (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))))) (.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (.f64 beta beta))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) beta))) (*.f64 beta beta))
(/.f64 (neg.f64 (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))) (+.f64 beta #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 beta (.f64 beta beta)))) (+.f64 (neg.f64 beta) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 beta beta))) (neg.f64 beta))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) beta) beta)) (neg.f64 beta))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (/.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (.f64 (/.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (*.f64 beta beta) beta)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 beta (.f64 beta beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 beta (.f64 beta beta))) (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 beta (.f64 beta beta))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (*.f64 beta beta) beta)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (/.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))))) (+.f64 (/.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (*.f64 beta beta) beta)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 beta (.f64 beta beta))) (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 beta (.f64 beta beta)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))))) (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta)))))
(pow.f64 (/.f64 (.f64 beta (.f64 beta beta)) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 beta (*.f64 beta beta))))
(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta))))
(.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal -1 binary64)) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 (+.f64 #s(literal 1 binary64) beta) beta))
(.f64 (fma.f64 beta beta #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 beta (*.f64 beta beta))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) beta) (.f64 beta (*.f64 beta beta))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) beta)))))
(.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) (.f64 beta (*.f64 beta beta))))
(.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta)))))
(.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 beta (.f64 beta beta)) (+.f64 (neg.f64 beta) #s(literal 1 binary64)))))
(.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (neg.f64 beta) #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))))
(.f64 (fma.f64 (.f64 beta beta) (.f64 (.f64 beta beta) (.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) beta)) (fma.f64 beta (.f64 beta (*.f64 beta beta)) (fma.f64 beta beta #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta))) (+.f64 #s(literal 1 binary64) beta))
(.f64 (fma.f64 (.f64 beta beta) (.f64 beta beta) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 beta beta) (-.f64 (*.f64 beta beta) beta)) (fma.f64 beta beta #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) beta) (pow.f64 (/.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) beta) (/.f64 #s(literal 1 binary64) (.f64 beta beta)))
(.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) beta)) (/.f64 #s(literal -1 binary64) (.f64 beta beta)))
(.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) beta) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 beta beta) (+.f64 beta #s(literal -1 binary64)))))
(.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta beta) beta)))
(.f64 (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 beta (*.f64 beta beta))) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) beta))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) beta) beta) (/.f64 #s(literal 1 binary64) beta))
(.f64 (pow.f64 (/.f64 beta (fma.f64 beta beta #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (*.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 beta beta) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 beta beta) beta) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 beta (*.f64 beta beta)) (fma.f64 beta beta #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 beta (*.f64 beta beta)) (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 beta (.f64 beta beta)) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 beta) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 beta beta)) #s(literal 3/2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 beta (.f64 beta (neg.f64 beta))))
(neg.f64 (.f64 beta (.f64 beta (neg.f64 beta))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))))
(/.f64 beta (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(/.f64 (.f64 beta (.f64 beta beta)) #s(literal 1 binary64))
(/.f64 (.f64 beta (.f64 beta (neg.f64 beta))) #s(literal -1 binary64))
(pow.f64 beta #s(literal 3 binary64))
(pow.f64 (*.f64 beta beta) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 beta #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 beta)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta)))
(.f64 beta (.f64 beta beta))
(.f64 (.f64 beta beta) beta)
(.f64 (.f64 beta (*.f64 beta beta)) #s(literal 1 binary64))
(.f64 (.f64 beta (*.f64 beta beta)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 beta (*.f64 beta (neg.f64 beta))))
(*.f64 (pow.f64 beta #s(literal 3/2 binary64)) (pow.f64 beta #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 beta (*.f64 beta beta)))
(.f64 (pow.f64 (.f64 beta beta) #s(literal 3/4 binary64)) (pow.f64 (*.f64 beta beta) #s(literal 3/4 binary64)))

simplify476.0ms (3.7%)

Memory

-8.5MiB live, 520.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 964×	`lower-fma.f64`
8 964×	`lower-fma.f32`
3 650×	`lower-*.f64`
3 650×	`lower-*.f32`
1 632×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	842
1	445	830
2	1026	818
3	2895	810
4	7000	810
0	8141	758

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

Inputs
1/12
(+ 1/12 (* 1/12 beta))
(+ 1/12 (* beta (+ 1/12 (* -7/144 beta))))
(+ 1/12 (* beta (+ 1/12 (* beta (- (* -1/18 beta) 7/144)))))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 42 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 42 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 306 (/ 1 (pow beta 3))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- 6 (* 42 (/ 1 beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 42 (* 306 (/ 1 beta))) beta))) beta))) (pow beta 2))
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
12
(+ 12 (* 7 (pow beta 2)))
(+ 12 (* (pow beta 2) (+ 7 beta)))
(+ 12 (* (pow beta 2) (+ 7 beta)))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 12 (pow beta 3)))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 12 (pow beta 3)))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 12 (/ 1 (pow beta 2)))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 12 (/ 1 (pow beta 2)))) beta)) 1)))
(* 7 beta)
(* beta (+ 7 beta))
(* beta (+ 7 beta))
(* beta (+ 7 beta))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
1/12
(+ 1/12 (* -1/36 beta))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(+ 1/12 (* beta (- (* beta (- (* 41/1296 beta) 5/432)) 1/36)))
(/ 1/7 beta)
(/ (- 1/7 (* 9/49 (/ 1 beta))) beta)
(/ (- (+ 1/7 (/ 60/343 (pow beta 2))) (* 9/49 (/ 1 beta))) beta)
(/ (- (+ 1/7 (/ 60/343 (pow beta 2))) (+ (* 9/49 (/ 1 beta)) (* 204/2401 (/ 1 (pow beta 3))))) beta)
(/ 1/7 beta)
(* -1 (/ (- (* 9/49 (/ 1 beta)) 1/7) beta))
(* -1 (/ (- (* -1 (/ (- (* 60/343 (/ 1 beta)) 9/49) beta)) 1/7) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 204/2401 (/ 1 beta)) 60/343) beta)) 9/49) beta)) 1/7) beta))
12
(+ 12 (* 16 beta))
(+ 12 (* beta (+ 16 (* 7 beta))))
(+ 12 (* beta (+ 16 (* 7 beta))))
(* 7 (pow beta 2))
(* (pow beta 2) (+ 7 (* 16 (/ 1 beta))))
(* (pow beta 2) (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))))
(* (pow beta 2) (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))))
(* 7 (pow beta 2))
(* (pow beta 2) (+ 7 (* 16 (/ 1 beta))))
(* (pow beta 2) (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))))
(* (pow beta 2) (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))))
16
(+ 16 (* 7 beta))
(+ 16 (* 7 beta))
(+ 16 (* 7 beta))
(* 7 beta)
(* beta (+ 7 (* 16 (/ 1 beta))))
(* beta (+ 7 (* 16 (/ 1 beta))))
(* beta (+ 7 (* 16 (/ 1 beta))))
(* 7 beta)
(* beta (+ 7 (* 16 (/ 1 beta))))
(* beta (+ 7 (* 16 (/ 1 beta))))
(* beta (+ 7 (* 16 (/ 1 beta))))
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
-1
(- (pow beta 2) 1)
(- (pow beta 2) 1)
(- (pow beta 2) 1)
(pow beta 2)
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(pow beta 2)
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(/ 1 (pow beta 3))
(/ (+ 1 beta) (pow beta 3))
(/ (+ 1 beta) (pow beta 3))
(/ (+ 1 beta) (pow beta 3))
(/ 1 (pow beta 2))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(pow beta 3)
(pow beta 3)
(pow beta 3)
(pow beta 3)
(pow beta 3)
(pow beta 3)
(pow beta 3)
(pow beta 3)
(pow beta 3)
(pow beta 3)
(pow beta 3)
(pow beta 3)

Outputs
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/12 beta))
(fma.f64 #s(literal 1/12 binary64) beta #s(literal 1/12 binary64))
(+ 1/12 (* beta (+ 1/12 (* -7/144 beta))))
(fma.f64 beta (fma.f64 beta #s(literal -7/144 binary64) #s(literal 1/12 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* beta (+ 1/12 (* beta (- (* -1/18 beta) 7/144)))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal -1/18 binary64) #s(literal -7/144 binary64)) #s(literal 1/12 binary64)) #s(literal 1/12 binary64))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/ (- (+ 1 (/ 42 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 42 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/ (- (+ 1 (/ 42 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 306 (/ 1 (pow beta 3))))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 42 binary64) (/.f64 #s(literal -306 binary64) beta)) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- 6 (* 42 (/ 1 beta))) beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 42 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 42 (* 306 (/ 1 beta))) beta))) beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 42 binary64) (/.f64 #s(literal -306 binary64) beta)) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
12
#s(literal 12 binary64)
(+ 12 (* 7 (pow beta 2)))
(fma.f64 (*.f64 beta beta) #s(literal 7 binary64) #s(literal 12 binary64))
(+ 12 (* (pow beta 2) (+ 7 beta)))
(fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))
(+ 12 (* (pow beta 2) (+ 7 beta)))
(fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 12 (pow beta 3)))))
(fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 12 (pow beta 3)))))
(fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(.f64 beta (.f64 beta (+.f64 beta #s(literal 7 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 12 (/ 1 (pow beta 2)))) beta)) 1)))
(fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 12 (/ 1 (pow beta 2)))) beta)) 1)))
(fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))
(* 7 beta)
(*.f64 beta #s(literal 7 binary64))
(* beta (+ 7 beta))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(* beta (+ 7 beta))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(* beta (+ 7 beta))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 7 binary64)))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/36 beta))
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* beta (- (* beta (- (* 41/1296 beta) 5/432)) 1/36)))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 41/1296 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/ 1/7 beta)
(/.f64 #s(literal 1/7 binary64) beta)
(/ (- 1/7 (* 9/49 (/ 1 beta))) beta)
(/.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -9/49 binary64) beta)) beta)
(/ (- (+ 1/7 (/ 60/343 (pow beta 2))) (* 9/49 (/ 1 beta))) beta)
(/.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 (/.f64 #s(literal 60/343 binary64) beta) #s(literal -9/49 binary64)) beta)) beta)
(/ (- (+ 1/7 (/ 60/343 (pow beta 2))) (+ (* 9/49 (/ 1 beta)) (* 204/2401 (/ 1 (pow beta 3))))) beta)
(/.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 (-.f64 #s(literal -9/49 binary64) (/.f64 (+.f64 (/.f64 #s(literal 204/2401 binary64) beta) #s(literal -60/343 binary64)) beta)) beta)) beta)
(/ 1/7 beta)
(/.f64 #s(literal 1/7 binary64) beta)
(* -1 (/ (- (* 9/49 (/ 1 beta)) 1/7) beta))
(/.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -9/49 binary64) beta)) beta)
(* -1 (/ (- (* -1 (/ (- (* 60/343 (/ 1 beta)) 9/49) beta)) 1/7) beta))
(/.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 (/.f64 #s(literal 60/343 binary64) beta) #s(literal -9/49 binary64)) beta)) beta)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 204/2401 (/ 1 beta)) 60/343) beta)) 9/49) beta)) 1/7) beta))
(/.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 (-.f64 #s(literal -9/49 binary64) (/.f64 (+.f64 (/.f64 #s(literal 204/2401 binary64) beta) #s(literal -60/343 binary64)) 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 (* 7 beta))))
(fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))
(* 7 (pow beta 2))
(.f64 beta (.f64 beta #s(literal 7 binary64)))
(* (pow beta 2) (+ 7 (* 16 (/ 1 beta))))
(*.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)))
(* (pow beta 2) (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))))
(fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))
(* (pow beta 2) (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))))
(fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))
(* 7 (pow beta 2))
(.f64 beta (.f64 beta #s(literal 7 binary64)))
(* (pow beta 2) (+ 7 (* 16 (/ 1 beta))))
(*.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)))
(* (pow beta 2) (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))))
(fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))
(* (pow beta 2) (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))))
(fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))
16
#s(literal 16 binary64)
(+ 16 (* 7 beta))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
(+ 16 (* 7 beta))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
(+ 16 (* 7 beta))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
(* 7 beta)
(*.f64 beta #s(literal 7 binary64))
(* beta (+ 7 (* 16 (/ 1 beta))))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
(* beta (+ 7 (* 16 (/ 1 beta))))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
(* beta (+ 7 (* 16 (/ 1 beta))))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
(* 7 beta)
(*.f64 beta #s(literal 7 binary64))
(* beta (+ 7 (* 16 (/ 1 beta))))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
(* beta (+ 7 (* 16 (/ 1 beta))))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
(* beta (+ 7 (* 16 (/ 1 beta))))
(fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64))
1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow beta 2) 1)
(fma.f64 beta beta #s(literal -1 binary64))
(- (pow beta 2) 1)
(fma.f64 beta beta #s(literal -1 binary64))
(- (pow beta 2) 1)
(fma.f64 beta beta #s(literal -1 binary64))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(fma.f64 beta beta #s(literal -1 binary64))
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(fma.f64 beta beta #s(literal -1 binary64))
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(fma.f64 beta beta #s(literal -1 binary64))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(fma.f64 beta beta #s(literal -1 binary64))
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(fma.f64 beta beta #s(literal -1 binary64))
(* (pow beta 2) (- 1 (/ 1 (pow beta 2))))
(fma.f64 beta beta #s(literal -1 binary64))
(/ 1 (pow beta 3))
(/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta)))
(/ (+ 1 beta) (pow beta 3))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/ (+ 1 beta) (pow beta 3))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/ (+ 1 beta) (pow beta 3))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(/ (+ 1 (/ 1 beta)) (pow beta 2))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 beta (.f64 beta beta)))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))
(pow beta 3)
(.f64 beta (.f64 beta beta))

eval147.0ms (1.2%)

Memory: 12.2MiB live, 277.1MiB allocated
Compiler: Compiled 25 559 to 2 382 computations (90.7% saved)

prune233.0ms (1.8%)

Memory

4.5MiB live, 367.8MiB allocated

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	1 070	5	1 075
Fresh	3	22	25
Picked	1	4	5
Done	0	4	4
Total	1 074	35	1 109

Accuracy

100.0%

Counts

1 109 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
	48.5%	(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 2/81 binary64) alpha #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	48.4%	(fma.f64 alpha (fma.f64 #s(literal -5/432 binary64) alpha #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
	48.4%	(fma.f64 #s(literal -1/36 binary64) alpha #s(literal 1/12 binary64))
	46.7%	(pow.f64 beta #s(literal -2 binary64))
	11.4%	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta beta #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) beta)) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (*.f64 beta beta)))
	66.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) (.f64 beta beta)))) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	52.5%	(/.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta)
	60.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
	53.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
	11.2%	(/.f64 (/.f64 (.f64 beta beta) (-.f64 beta #s(literal 1 binary64))) (.f64 beta (*.f64 beta beta)))
	52.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.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)))
	46.6%	(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
	45.7%	(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))))) beta)) (.f64 beta beta))
	81.9%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
✓	83.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓	72.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓	82.2%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64)))
✓	49.5%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	37.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 beta beta) (+.f64 beta #s(literal 7 binary64))))
	51.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 #s(literal 7 binary64) alpha) #s(literal 16 binary64)) #s(literal 12 binary64)))
	55.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
✓	48.2%	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
	60.4%	(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
	29.5%	(/.f64 alpha (*.f64 beta beta))
	50.9%	(/.f64 #s(literal 1 binary64) (fma.f64 beta #s(literal 16 binary64) #s(literal 12 binary64)))
	52.7%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
✓	45.6%	(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
	5.2%	(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
	6.0%	(/.f64 #s(literal 1/7 binary64) beta)
	60.4%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
	48.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
	47.4%	(.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))
✓	48.4%	#s(literal 1/12 binary64)
✓	12.2%	#s(literal 1/16 binary64)

Compiler

Compiled 1 344 to 515 computations (61.7% saved)

regimes49.0ms (0.4%)

Memory

-13.1MiB live, 104.9MiB allocated

Counts

53 → 2

Calls

Call 1

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

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

Calls

3 calls:

17.0ms

beta

15.0ms

alpha

12.0ms

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

Results

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

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes17.0ms (0.1%)

Memory

-0.1MiB live, 38.0MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

15.0ms

beta

Results

Accuracy	Segments	Branch
99.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory

-0.4MiB live, 37.3MiB allocated

Counts

50 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

14.0ms

beta

Results

Accuracy	Segments	Branch
99.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes64.0ms (0.5%)

Memory

10.5MiB live, 52.1MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

40.0ms

beta

12.0ms

alpha

10.0ms

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

Results

Accuracy	Segments	Branch
99.7%	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)))`
98.0%	2	`alpha`
99.7%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes27.0ms (0.2%)

Memory

-18.5MiB live, 20.4MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

25.0ms

beta

Results

Accuracy	Segments	Branch
99.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-2.8MiB live, 34.7MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

beta

Results

Accuracy	Segments	Branch
99.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

beta

Results

Accuracy	Segments	Branch
99.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-15.4MiB live, 22.0MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

beta

Results

Accuracy	Segments	Branch
98.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes49.0ms (0.4%)

Memory

-52.1MiB live, 29.7MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

41.0ms

(/.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)))

7.0ms

beta

Results

Accuracy	Segments	Branch
98.1%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
98.1%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes8.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
98.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.2%)

Memory

-7.0MiB live, 30.0MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

3 calls:

18.0ms

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

6.0ms

alpha

6.0ms

beta

Results

Accuracy	Segments	Branch
92.9%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
64.6%	3	`alpha`
92.9%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
92.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-9.8MiB live, 24.9MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms

beta

4.0ms

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

Results

Accuracy	Segments	Branch
90.4%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
90.4%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes10.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs
(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/7 binary64) beta)

Calls

3 calls:

3.0ms

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
50.5%	2	`alpha`
51.9%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
50.6%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes8.0ms (0.1%)

Memory

-17.5MiB live, 20.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(literal 1/12 binary64)

Calls

3 calls:

4.0ms

alpha

2.0ms

beta

2.0ms

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

Results

Accuracy	Segments	Branch
48.4%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
48.4%	1	`alpha`
48.4%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes4.0ms (0%)

Memory

13.7MiB live, 13.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)

Outputs
#s(literal 1/16 binary64)

Calls

3 calls:

1.0ms

alpha

1.0ms

beta

1.0ms

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

Results

Accuracy	Segments	Branch
12.2%	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)))`
12.2%	1	`alpha`
12.2%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch24.0ms (0.2%)

Memory

-3.3MiB live, 38.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	11668904.383703366	270042813595.82443

Samples

9.0ms

128×

valid

Compiler

Compiled 720 to 379 computations (47.4% saved)

Precisions

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

ival-add: 3.0ms (47.8% of total)

ival-div: 2.0ms (31.9% of total)

ival-mult: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Memory

-2.5MiB live, 35.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.1722586307198335e+72	1.6260825079010428e+74

Samples

8.0ms

112×

valid

Compiler

Compiled 537 to 278 computations (48.2% saved)

Precisions

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

ival-div: 2.0ms (36.4% of total)

ival-add: 2.0ms (36.4% of total)

ival-mult: 1.0ms (18.2% 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

7.2MiB live, 7.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	11668904.383703366	270042813595.82443

Compiler

Compiled 512 to 299 computations (41.6% saved)

bsearch1.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.1722586307198335e+72	1.6260825079010428e+74

Compiler

Compiled 369 to 215 computations (41.7% saved)

bsearch20.0ms (0.2%)

Memory

14.5MiB live, 48.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	205096667658838.28	1018452713318251100.0

Samples

13.0ms

128×

valid

Compiler

Compiled 376 to 235 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 7.0ms (68.3% of total)

ival-div: 2.0ms (19.5% of total)

ival-mult: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

-32.5MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	205096667658838.28	1018452713318251100.0

Compiler

Compiled 312 to 219 computations (29.8% saved)

bsearch10.0ms (0.1%)

Memory

29.1MiB live, 29.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	205096667658838.28	1018452713318251100.0

Samples

6.0ms

80×

valid

Compiler

Compiled 248 to 171 computations (31% saved)

Precisions

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

ival-add: 2.0ms (52.2% of total)

ival-div: 1.0ms (26.1% of total)

ival-mult: 1.0ms (26.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Memory

-33.6MiB live, 49.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.5447809501751284	255402.27866519583

Samples

10.0ms

144×

valid

Compiler

Compiled 274 to 190 computations (30.7% saved)

Precisions

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

ival-add: 3.0ms (42.9% of total)

ival-div: 2.0ms (28.6% of total)

ival-mult: 2.0ms (28.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	205096667658838.28	1018452713318251100.0

Compiler

Compiled 240 to 163 computations (32.1% saved)

bsearch12.0ms (0.1%)

Memory

32.1MiB live, 32.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.5447809501751284	255402.27866519583

Samples

7.0ms

96×

valid

Compiler

Compiled 193 to 136 computations (29.5% saved)

Precisions

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

ival-add: 2.0ms (44% of total)

ival-div: 1.0ms (22% of total)

ival-mult: 1.0ms (22% 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

2.8MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.5447809501751284	255402.27866519583

Compiler

Compiled 211 to 145 computations (31.3% saved)

bsearch3.0ms (0%)

Memory

-35.1MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.5447809501751284	255402.27866519583

Compiler

Compiled 193 to 136 computations (29.5% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.5447809501751284	255402.27866519583

Compiler

Compiled 175 to 127 computations (27.4% saved)

bsearch5.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.5447809501751284	255402.27866519583

Samples

2.0ms

32×

valid

Compiler

Compiled 157 to 118 computations (24.8% saved)

Precisions

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

ival-add: 1.0ms (64.5% 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)

simplify14.0ms (0.1%)

Memory

-5.7MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`+-commutative_binary64`
24×	`*-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	464
1	153	464
2	169	464
3	181	464
4	188	464
5	190	464

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 72000000000 binary64)) (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 152000000000000008719905036530146896205118981432206325076184303868676407296 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 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 72000000000 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 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 152000000000000008719905036530146896205118981432206325076184303868676407296 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 1900000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 1900000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 8800000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 6530219459687219/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 #s(literal 7 binary64) alpha) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 8800000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 5291729562160333/2251799813685248 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/7 binary64) beta))
#s(literal 1/12 binary64)
#s(literal 1/16 binary64)

Outputs
(if (<=.f64 beta #s(literal 72000000000 binary64)) (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 72000000000 binary64)) (.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 152000000000000008719905036530146896205118981432206325076184303868676407296 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 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 152000000000000008719905036530146896205118981432206325076184303868676407296 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 alpha (/.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 72000000000 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 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 72000000000 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (-.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64)) (+.f64 alpha (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) beta))
(if (<=.f64 beta #s(literal 152000000000000008719905036530146896205118981432206325076184303868676407296 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 152000000000000008719905036530146896205118981432206325076184303868676407296 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 1900000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 1900000000000000 binary64)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 1900000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 1900000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 8800000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 8800000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 6530219459687219/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 #s(literal 7 binary64) alpha) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 6530219459687219/1125899906842624 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 8800000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 8800000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta (*.f64 beta (+.f64 beta #s(literal 7 binary64))) #s(literal 12 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha)))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 beta beta))))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 5291729562160333/2251799813685248 binary64)) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/7 binary64) beta))
#s(literal 1/12 binary64)
#s(literal 1/16 binary64)

soundness1.4s (11.1%)

Memory

-0.3MiB live, 1 242.3MiB allocated

Rules

9 210×	`lower-fma.f64`
9 210×	`lower-fma.f32`
8 964×	`lower-fma.f64`
8 964×	`lower-fma.f32`
7 204×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	78
0	26	74
1	123	66
2	1161	66
0	8168	63
0	257	1348
1	742	1326
2	1869	1260
3	5934	1256
0	8129	1172
0	1121	7398
1	3691	7181
0	9036	6879
0	154	842
1	445	830
2	1026	818
3	2895	810
4	7000	810
0	8141	758
0	35	206
0	66	188
1	320	182
2	3366	182
0	8642	179
0	695	5618
1	2463	5394
0	8239	5122

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×	node limit
1×	iter limit

Compiler

Compiled 1 085 to 514 computations (52.6% saved)

preprocess152.0ms (1.2%)

Memory: -16.6MiB live, 231.2MiB allocated
Compiler: Compiled 1 176 to 324 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0%)

sample1.2s (9.2%)

preprocess1.0s (7.9%)

explain439.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.1s (8.3%)

localize51.0ms (0.4%)

series36.0ms (0.3%)

rewrite365.0ms (2.9%)

simplify343.0ms (2.7%)

eval82.0ms (0.6%)

prune127.0ms (1%)

simplify371.0ms (2.9%)

localize161.0ms (1.3%)

series59.0ms (0.5%)

rewrite579.0ms (4.6%)

simplify700.0ms (5.5%)

eval284.0ms (2.2%)

prune273.0ms (2.2%)

simplify352.0ms (2.8%)

localize129.0ms (1%)

series18.0ms (0.1%)

rewrite445.0ms (3.5%)

simplify373.0ms (2.9%)

eval147.0ms (1.2%)

prune216.0ms (1.7%)

simplify600.0ms (4.7%)

localize94.0ms (0.7%)

series9.0ms (0.1%)

rewrite314.0ms (2.5%)

simplify476.0ms (3.7%)

eval147.0ms (1.2%)

prune233.0ms (1.8%)

regimes49.0ms (0.4%)

regimes17.0ms (0.1%)

regimes17.0ms (0.1%)

regimes64.0ms (0.5%)

regimes27.0ms (0.2%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes49.0ms (0.4%)

regimes8.0ms (0.1%)

regimes31.0ms (0.2%)

regimes6.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

bsearch24.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

bsearch3.0ms (0%)

bsearch10.0ms (0.1%)

bsearch25.0ms (0.2%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0%)

simplify14.0ms (0.1%)

soundness1.4s (11.1%)

preprocess152.0ms (1.2%)

end0.0ms (0%)

Profiling