Metrics for Octave 3.8, jcobi/3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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)

sample1.3s (10.2%)

Memory

9.7MiB live, 1 800.2MiB allocated

Samples

882.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 588.0ms

ival-add: 242.0ms (41.2% of total)

ival-div: 153.0ms (26% of total)

ival-mult: 124.0ms (21.1% of total)

ival->: 44.0ms (7.5% of total)

exact: 12.0ms (2% of total)

ival-and: 10.0ms (1.7% of total)

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

Bogosity

explain231.0ms (1.8%)

Memory

-7.6MiB live, 351.4MiB 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

62.0ms

512×

valid

Compiler

Compiled 285 to 46 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 24.0ms (54.3% of total)

ival-add: 11.0ms (24.9% of total)

ival-div: 8.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess685.0ms (5.5%)

Memory

55.6MiB live, 739.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 37 to 14 computations (62.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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)

simplify983.0ms (7.8%)

Memory

-125.6MiB live, 813.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize189.0ms (1.5%)

Memory

-12.9MiB live, 65.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
accuracy	0.0390625	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy	0.0703125	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	3.148441660820115	(/.f64 (+.f64 (+.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

99.0ms

256×

valid

Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-div: 82.0ms (90.4% of total)

ival-add: 5.0ms (5.5% of total)

ival-mult: 3.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series110.0ms (0.9%)

Memory

9.3MiB live, 53.3MiB 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>) () ())) ())
#s(alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (taylor 0 alpha) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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Calls

30 calls:

Time	Variable		Point	Expression
82.0ms	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)))

simplify424.0ms (3.4%)

Memory

-24.6MiB live, 325.5MiB 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)))))
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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)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(fma.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+.f64 (fma.f64 alpha (fma.f64 (fma.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (neg.f64 alpha) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64))))))))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(fma.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))) (fma.f64 alpha (neg.f64 (fma.f64 alpha (+.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))))) (/.f64 (fma.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (fma.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 beta (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))))
(/ (+ 1 beta) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 beta alpha) beta)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) alpha)))) (.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))))) (.f64 alpha alpha)))) (.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) alpha)))) (.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (/.f64 (-.f64 (fma.f64 (+.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 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) beta))))) (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))))))) (.f64 alpha (.f64 alpha alpha))))) (fma.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) alpha) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 alpha alpha))) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (-.f64 #s(literal -1 binary64) beta)))) (.f64 alpha alpha))))) (*.f64 alpha alpha))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) beta)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64))))) alpha)) (.f64 alpha alpha))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) beta)) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64))))) (neg.f64 alpha)) (fma.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta))) (.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64))))) alpha)) (.f64 alpha alpha))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) beta)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta)) alpha) (/.f64 (.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64))) (fma.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64))))) (+.f64 #s(literal -3 binary64) (neg.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))))))) alpha)) (.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64))))) alpha))) (fma.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64))))) (+.f64 #s(literal -3 binary64) (neg.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))))))) alpha)) (.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64))))) alpha)) (.f64 alpha alpha))
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
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(+ (* 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)))))
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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)))

rewrite418.0ms (3.3%)

Memory

31.7MiB live, 432.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	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))))))
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(.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 alpha beta (+.f64 alpha beta)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 alpha beta (+.f64 alpha beta)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal -1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta))) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 alpha beta (+.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta))) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 alpha beta (+.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(*.f64 (/.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (fma.f64 alpha beta (+.f64 alpha beta)) (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 (fma.f64 alpha beta beta) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(+.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))))

eval119.0ms (0.9%)

Memory: -17.9MiB live, 139.4MiB allocated
Compiler: Compiled 28 833 to 2 061 computations (92.9% saved)

prune149.0ms (1.2%)

Memory

-8.4MiB live, 111.7MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	578	14	592
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	579	14	593

Accuracy

100.0%

Counts

593 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.7%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 #s(approx (+ (+ alpha beta) ( 2 1)) (neg.f64 (fma.f64 alpha (/.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) alpha) (neg.f64 alpha)))) #s(literal 1 binary64)))
	93.4%	(/.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))))
	62.0%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	93.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	86.3%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
	86.3%	(/.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))))
▶	93.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	51.3%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	55.6%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	93.4%	(.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))))))
▶	87.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	4.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
	48.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
▶	52.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))

Compiler

Compiled 672 to 350 computations (47.9% saved)

simplify450.0ms (3.6%)

Memory

35.1MiB live, 387.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 alpha beta (+.f64 alpha beta))
cost-diff	0	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
cost-diff	64	(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
cost-diff	128	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	128	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
cost-diff	128	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
cost-diff	0	(*.f64 beta beta)
cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
cost-diff	0	(fma.f64 alpha beta (+.f64 alpha beta))
cost-diff	0	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	64	(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
cost-diff	832	(.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))))))

Rules

21 612×	`lower-fma.f32`
21 610×	`lower-fma.f64`
7 914×	`lower-+.f32`
7 896×	`lower-+.f64`
2 382×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	452
0	75	442
1	156	438
2	449	438
3	2165	429
4	2897	429
5	3541	429
6	4153	429
7	4360	429
8	4364	429
9	7851	429
10	7882	429
11	7882	429
0	8034	413

Stop Event

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

Calls

Call 1

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

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

localize202.0ms (1.6%)

Memory

-7.4MiB live, 155.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.046875	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	0.0546875	(.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
accuracy	8.687199734398455	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
accuracy	0.01953125	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
accuracy	0.0703125	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	7.1089268787231665	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
accuracy	20.040643763210436	(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
accuracy	0.01953125	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
accuracy	0.0546875	(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))
accuracy	4.188669671732708	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
accuracy	5.094736683658986	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
accuracy	0	(+.f64 #s(literal 1 binary64) alpha)
accuracy	0	(*.f64 beta beta)
accuracy	1.736083769659917	(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
accuracy	28.505824162805013	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
accuracy	0.0390625	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
accuracy	0.5355483688161506	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
accuracy	1.145068666152531	(.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))))))
accuracy	3.148441660820115	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

Samples

130.0ms

256×

valid

Compiler

Compiled 441 to 39 computations (91.2% saved)

Precisions

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

ival-add: 13.0ms (33.7% of total)

ival-mult: 13.0ms (33.7% of total)

ival-div: 12.0ms (31.1% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.4%)

Memory

-12.1MiB live, 100.2MiB allocated

Counts

24 → 468

Calls

Call 1

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

117 calls:

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

simplify373.0ms (3%)

Memory

31.7MiB live, 605.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 122×	`lower-+.f64`
6 122×	`lower-+.f32`
6 116×	`lower-fma.f64`
6 116×	`lower-fma.f32`
4 646×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1303	20215
1	4561	19288
0	8497	18318

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 454

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))
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(/ (+ 1 (+ (* -1 (/ (+ 2 alpha) beta)) (* -1 (/ (+ 3 alpha) beta)))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2) beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) beta)) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (* (+ 3 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))))) beta)) (* -1 (/ (* (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) (+ (* -1 (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2)) (* (+ 2 alpha) (+ 3 alpha)))) beta))) (+ (* -1 (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2)) (* (+ 2 alpha) (+ 3 alpha)))) beta)) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))) beta))) (pow beta 2))
(* (+ 2 beta) (+ 3 beta))
(+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (+ 2 alpha) (+ 3 alpha))
(+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
12
(+ 12 (* 16 beta))
(+ 12 (* beta (+ 16 (* 7 beta))))
(+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))
1/4
(+ 1/4 (* -1/16 (pow beta 2)))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(/ 1 beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
(/ (+ 1 beta) (pow (+ 2 beta) 2))
(+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
(+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* (pow (+ 2 beta) 2) (+ 3 beta))
(+ (* alpha (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (+ (* alpha (+ 7 (+ beta (* 2 beta)))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (+ (* alpha (+ 7 (+ alpha (+ beta (* 2 beta))))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (/ beta alpha)))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (pow alpha 3)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (* 2 (+ 2 beta)))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(* (pow (+ 2 alpha) 2) (+ 3 alpha))
(+ (* beta (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (+ (* beta (+ 7 (+ alpha (* 2 alpha)))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (+ (* beta (+ 7 (+ alpha (+ beta (* 2 alpha))))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (/ alpha beta)))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(+ 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)))

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

rewrite283.0ms (2.3%)

Memory

-15.3MiB live, 588.8MiB allocated

Rules

5 828×	`lower-*.f32`
5 814×	`lower-*.f64`
4 144×	`lower-/.f32`
4 130×	`lower-/.f64`
2 628×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	363
0	75	303
1	360	303
2	3128	303
0	8698	303

Stop Event

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

Counts

24 → 819

Calls

Call 1

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

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

eval284.0ms (2.3%)

Memory: 17.9MiB live, 570.7MiB allocated
Compiler: Compiled 65 914 to 4 170 computations (93.7% saved)

prune308.0ms (2.5%)

Memory

13.5MiB live, 528.0MiB allocated

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1 640	29	1 669
Fresh	7	2	9
Picked	3	2	5
Done	0	0	0
Total	1 650	33	1 683

Accuracy

100.0%

Counts

1 683 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(/.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 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	62.0%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	86.3%	(/.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)))))
	84.3%	(/.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)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
	85.0%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))))))
	84.2%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
	84.2%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	41.6%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
	47.0%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	86.3%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (.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)))))
	63.1%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (neg.f64 alpha) (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) 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)))))
	42.9%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (.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)))))
	32.0%	(.f64 (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 beta alpha))) (+.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))))))
	78.4%	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
	59.5%	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
	55.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
▶	52.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
▶	87.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	45.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
	87.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	75.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
▶	44.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
	43.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
	48.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
✓	52.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
	50.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
	54.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
	52.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
	43.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
	43.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
▶	44.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
	35.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
	52.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))

Compiler

Compiled 1 184 to 668 computations (43.6% saved)

simplify177.0ms (1.4%)

Memory

7.2MiB live, 284.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 beta beta)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 beta beta))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta)))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
cost-diff	0	(.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 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 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
cost-diff	0	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
cost-diff	0	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
cost-diff	0	(fma.f64 alpha beta (+.f64 alpha beta))
cost-diff	0	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
cost-diff	64	(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
cost-diff	384	(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

Rules

6 768×	`lower-fma.f32`
6 764×	`lower-fma.f64`
4 198×	`lower-*.f32`
4 184×	`lower-*.f64`
1 760×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	507
0	84	487
1	180	487
2	517	487
3	2356	480
4	3957	480
5	5857	480
0	8174	478

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (1.3%)

Memory

-12.0MiB live, 155.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
accuracy	0.0546875	(.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
accuracy	4.188669671732708	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
accuracy	28.625937658339588	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta)))
accuracy	0	#s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
accuracy	0.0546875	(.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))
accuracy	4.188669671732708	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
accuracy	5.094736683658986	(/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))
accuracy	0.09375	(.f64 beta (.f64 beta beta))
accuracy	4.188669671732708	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
accuracy	5.094736683658986	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))))
accuracy	28.287825449789025	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))
accuracy	4.188669671732708	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
accuracy	34.71433410587456	#s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))
accuracy	0.00390625	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0390625	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
accuracy	0.08984375	(/.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 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	20.217372124521653	(/.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 3 binary64))))

Samples

104.0ms

256×

valid

Compiler

Compiled 418 to 43 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 54.0ms (63.4% of total)

ival-add: 14.0ms (16.4% of total)

ival-div: 10.0ms (11.7% of total)

const: 4.0ms (4.7% of total)

ival-sub: 2.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.4%)

Memory

22.5MiB live, 59.5MiB allocated

Counts

23 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.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 3 binary64)))) (patch (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 alpha beta (+.f64 alpha beta)) (patch (fma.f64 alpha beta (+.f64 alpha beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))) (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)) (patch #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))))) (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())
#s(alt #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (patch #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))) (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))) (patch (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta)))) (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))) #<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 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 beta (.f64 beta beta)) (patch (.f64 beta (.f64 beta beta)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (patch #s(approx (* (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 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 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (taylor 0 alpha) (#s(alt (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	(/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
1.0ms	alpha	@	0	(/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
1.0ms	beta	@	-inf	(/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
1.0ms	alpha	@	-inf	(/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
1.0ms	beta	@	inf	(/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))

simplify435.0ms (3.5%)

Memory

11.0MiB live, 519.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 696×	`lower-fma.f64`
7 696×	`lower-fma.f32`
7 390×	`lower-+.f64`
7 390×	`lower-+.f32`
5 590×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	751	17527
1	2662	16706
0	8383	15783

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 388

Calls

Call 1

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

rewrite313.0ms (2.5%)

Memory

21.5MiB live, 430.9MiB allocated

Rules

5 968×	`lower-*.f32`
5 954×	`lower-*.f64`
4 230×	`lower-/.f32`
4 220×	`lower-/.f64`
2 578×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	441
0	84	389
1	396	363
2	3378	363
0	8833	363

Stop Event

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

Counts

23 → 616

Calls

Call 1

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

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

eval196.0ms (1.6%)

Memory: -7.8MiB live, 360.5MiB allocated
Compiler: Compiled 44 760 to 2 948 computations (93.4% saved)

prune225.0ms (1.8%)

Memory

15.3MiB live, 443.4MiB allocated

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	1 106	7	1 113
Fresh	3	23	26
Picked	2	3	5
Done	1	1	2
Total	1 112	34	1 146

Accuracy

100.0%

Counts

1 146 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.0%	(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	50.0%	(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (fma.f64 beta alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
▶	84.3%	(/.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)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
	85.0%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))))))
	84.2%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
	84.2%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	41.6%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
	86.3%	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
▶	47.0%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
	51.0%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	55.5%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	86.3%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (.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)))))
	42.9%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (.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)))))
	32.0%	(.f64 (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 beta alpha))) (+.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))))))
	78.4%	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
▶	59.5%	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
	9.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
	55.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
✓	87.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	45.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
▶	87.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	75.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
✓	44.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
	43.9%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
	48.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
✓	52.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
	50.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
	54.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
	52.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
	43.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
▶	43.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
✓	44.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
	35.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
	52.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))

Compiler

Compiled 1 162 to 659 computations (43.3% saved)

simplify456.0ms (3.6%)

Memory

-19.3MiB live, 245.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 alpha beta)
cost-diff	0	(fma.f64 alpha beta (+.f64 alpha beta))
cost-diff	0	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
cost-diff	64	(+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
cost-diff	0	#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha))
cost-diff	320	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
cost-diff	0	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64)))
cost-diff	0	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	192	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff	0	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
cost-diff	0	#s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
cost-diff	0	#s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))
cost-diff	0	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))

Rules

6 554×	`lower-fma.f32`
6 546×	`lower-fma.f64`
4 550×	`lower-*.f32`
4 542×	`lower-*.f64`
1 694×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	539
0	102	527
1	206	525
2	609	525
3	2763	517
4	4466	517
5	6397	517
0	8186	515

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (1.8%)

Memory

2.7MiB live, 242.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.046875	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))
accuracy	0.0546875	(.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))))
accuracy	1.4702810680250373	#s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))
accuracy	8.687199734398455	(/.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)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
accuracy	0.0390625	(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
accuracy	0.5355483688161506	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
accuracy	1.145068666152531	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
accuracy	24.281012660262295	#s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha))
accuracy	0.00390625	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
accuracy	0.0703125	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	7.1089268787231665	#s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64)))
accuracy	34.08377099733892	#s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))
accuracy	0.1953125	(fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))
accuracy	4.188669671732708	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
accuracy	35.231319768817364	#s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))
accuracy	0.00390625	(fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64))
accuracy	0.03515625	(fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
accuracy	4.188669671732708	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
accuracy	5.094736683658986	(/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))

Samples

169.0ms

256×

valid

Compiler

Compiled 446 to 56 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-sub: 82.0ms (57.7% of total)

ival-add: 20.0ms (14.1% of total)

ival-mult: 20.0ms (14.1% of total)

ival-div: 12.0ms (8.4% of total)

const: 6.0ms (4.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series46.0ms (0.4%)

Memory

-18.5MiB live, 60.4MiB allocated

Counts

27 → 516

Calls

Call 1

Inputs
#s(alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))) (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) beta) (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())
#s(alt #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) (patch #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))) (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))) (patch #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (.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 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (patch #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))) (patch (.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (patch #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) alpha) (patch (+.f64 #s(literal 1 binary64) alpha) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))))) (patch (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 alpha beta (+.f64 alpha beta)) (patch (fma.f64 alpha beta (+.f64 alpha beta)) #<representation binary64>) () ())
#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())
#s(alt (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)) (patch (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) (patch (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64)) (patch #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 alpha 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 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))) (patch #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))) #<representation binary64>) () ())
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#s(alt (+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (taylor 0 alpha) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (pow alpha 2) (taylor inf alpha) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) (taylor inf alpha) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) (taylor inf alpha) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow alpha 2) (taylor -inf alpha) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha)))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha)))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha)))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (+ 2 alpha) 2) (taylor 0 beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (taylor 0 beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2)) (taylor 0 beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2)) (taylor 0 beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow beta 2) (taylor inf beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (pow beta 2) (taylor -inf beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta)))) (taylor -inf beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta)))) (taylor -inf beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta)))) (taylor -inf beta) (#s(alt (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) (patch (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

129 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	-inf	(* (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3)))))
0.0ms	beta	@	inf	(+ (* beta -1/36) 1/12)
0.0ms	beta	@	-inf	(+ (* beta (+ (* beta (+ beta 7)) 16)) 12)
0.0ms	beta	@	inf	(+ (* beta (+ (* beta (+ beta 7)) 16)) 12)
0.0ms	beta	@	0	(/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))))

simplify367.0ms (2.9%)

Memory

25.2MiB live, 494.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 104×	`lower-fma.f64`
6 104×	`lower-fma.f32`
6 100×	`lower-+.f64`
6 100×	`lower-+.f32`
4 712×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1304	20563
1	4576	19627
0	8538	18643

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 492

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))
1/12
(+ 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))
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(/ (+ 1 alpha) (pow beta 2))
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beta
(+ beta (* alpha (+ 1 beta)))
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(* alpha (+ 1 beta))
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(* alpha (+ 1 (+ beta (/ beta alpha))))
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(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))
alpha
(+ alpha (* beta (+ 1 alpha)))
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(* beta (+ 1 alpha))
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(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
12
(+ 12 (* 16 beta))
(+ 12 (* beta (+ 16 (* 7 beta))))
(+ 12 (* beta (+ 16 (* beta (+ 7 beta)))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 7 (/ 1 beta)) (+ (* 12 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 7 (/ 1 beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 beta)) (/ 12 (pow beta 2)))) beta)) 1)))
16
(+ 16 (* 7 beta))
(+ 16 (* beta (+ 7 beta)))
(+ 16 (* beta (+ 7 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 7 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 7 (/ 1 beta)) (/ 16 (pow beta 2)))))
1/4
(+ 1/4 (* -1/16 (pow beta 2)))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(/ 1 beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
(+ 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)))
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(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 2 alpha)
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(+ 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)))
(* (+ 2 beta) (+ 3 beta))
(+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (+ 2 alpha) (+ 3 alpha))
(+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(+ 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)))
(* (pow (+ 2 beta) 2) (+ 3 beta))
(+ (* alpha (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (+ (* alpha (+ 7 (+ beta (* 2 beta)))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (+ (* alpha (+ 7 (+ alpha (+ beta (* 2 beta))))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (/ beta alpha)))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (pow alpha 3)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (* 2 (+ 2 beta)))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(* (pow (+ 2 alpha) 2) (+ 3 alpha))
(+ (* beta (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (+ (* beta (+ 7 (+ alpha (* 2 alpha)))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (+ (* beta (+ 7 (+ alpha (+ beta (* 2 alpha))))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (/ alpha beta)))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(pow (+ 2 beta) 2)
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(pow (+ 2 alpha) 2)
(+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))

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

rewrite402.0ms (3.2%)

Memory

-11.3MiB live, 534.8MiB allocated

Rules

6 420×	`lower-*.f32`
6 412×	`lower-*.f64`
4 440×	`lower-/.f32`
4 432×	`lower-/.f64`
2 734×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	478
0	102	448
1	469	420
2	3912	420
0	9813	420

Stop Event

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

Counts

27 → 585

Calls

Call 1

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

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

eval182.0ms (1.5%)

Memory: 43.2MiB live, 336.5MiB allocated
Compiler: Compiled 45 057 to 3 364 computations (92.5% saved)

prune267.0ms (2.1%)

Memory

-7.3MiB live, 456.9MiB allocated

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	1 179	12	1 191
Fresh	5	20	25
Picked	3	2	5
Done	0	4	4
Total	1 187	38	1 225

Accuracy

100.0%

Counts

1 225 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.0%	(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
	50.0%	(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (fma.f64 beta alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	84.2%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
	84.2%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	41.6%	(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
	84.4%	(/.f64 (+.f64 #s(approx (+ (* alpha beta) (+ alpha beta)) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
	86.3%	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
	62.0%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
	75.7%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
	47.0%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
	46.6%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
	45.1%	(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
	59.5%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
	51.0%	(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
	30.4%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
	86.3%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (.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)))))
	42.9%	(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (.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)))))
	32.0%	(.f64 (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 beta alpha))) (+.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))))))
	78.4%	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
	59.4%	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
	52.8%	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
	51.8%	(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta)) (*.f64 beta beta))))
	9.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
	55.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
✓	87.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
	45.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
✓	87.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
	75.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
✓	44.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
	48.4%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
✓	52.8%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
	50.7%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
	54.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
	43.5%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
✓	43.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
✓	44.6%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
	35.3%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
	52.1%	#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))

Compiler

Compiled 1 769 to 577 computations (67.4% saved)

regimes107.0ms (0.9%)

Memory

-9.4MiB live, 101.3MiB allocated

Counts

63 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #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)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta)) (*.f64 beta beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(approx (+ (* alpha beta) (+ alpha beta)) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 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)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (fma.f64 beta alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha 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))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 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 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(.f64 (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 beta alpha))) (+.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 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (neg.f64 alpha) (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) 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 1 binary64) (/.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.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(approx (+ (+ alpha beta) ( 2 1)) (neg.f64 (fma.f64 alpha (/.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) alpha) (neg.f64 alpha)))) #s(literal 1 binary64)))

Outputs

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

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

Calls

3 calls:

45.0ms

beta

41.0ms

alpha

14.0ms

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

Results

Accuracy	Segments	Branch
99.4%	2	`alpha`
99.8%	2	`beta`
99.8%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes36.0ms (0.3%)

Memory

12.4MiB live, 86.2MiB allocated

Counts

58 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #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)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta)) (*.f64 beta beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(approx (+ (* alpha beta) (+ alpha beta)) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 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)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (fma.f64 beta alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha 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))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 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 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(.f64 (/.f64 #s(approx (+ (+ ( alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 beta alpha))) (+.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))))))

Outputs

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

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

Calls

2 calls:

18.0ms

beta

15.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
99.8%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes24.0ms (0.2%)

Memory

-33.7MiB live, 38.7MiB allocated

Counts

56 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #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)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta)) (*.f64 beta beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(approx (+ (* alpha beta) (+ alpha beta)) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 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)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (fma.f64 beta alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha 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))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))

Outputs

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

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

Calls

1 calls:

21.0ms

beta

Results

Accuracy	Segments	Branch
99.8%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory

9.8MiB live, 47.9MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #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)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta)) (*.f64 beta beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(approx (+ (* alpha beta) (+ alpha beta)) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 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)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta #s(literal 1 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (fma.f64 beta alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha 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))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)))))))

Outputs

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

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

Calls

1 calls:

16.0ms

beta

Results

Accuracy	Segments	Branch
99.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes47.0ms (0.4%)

Memory

-20.8MiB live, 97.5MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #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)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta)) (*.f64 beta beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(approx (+ (* alpha beta) (+ alpha beta)) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 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)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))

Outputs

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

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

Calls

3 calls:

15.0ms

alpha

15.0ms

beta

14.0ms

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

Results

Accuracy	Segments	Branch
96.1%	2	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
92.3%	2	`alpha`
97.7%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes14.0ms (0.1%)

Memory

30.4MiB live, 30.4MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #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)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta)) (*.f64 beta beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (.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)))))

Outputs

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

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

Calls

1 calls:

12.0ms

beta

Results

Accuracy	Segments	Branch
97.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

0.3MiB live, 37.7MiB allocated

Counts

40 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #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)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (/ 1 (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 5 binary64)) beta)) (*.f64 beta beta))))
(/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (+.f64 alpha (.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))))))

Outputs

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

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

Calls

1 calls:

11.0ms

beta

Results

Accuracy	Segments	Branch
97.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-8.1MiB live, 29.6MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))
(/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))

Outputs

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

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

Calls

1 calls:

12.0ms

beta

Results

Accuracy	Segments	Branch
97.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-11.9MiB live, 26.3MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta #s(literal -1/36 binary64) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* beta beta)) (* (* (+ beta 3) (* (+ beta 2) (+ beta 2))) (- 1 beta))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) #s(literal 12 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (+.f64 alpha #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta)))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (*.f64 beta beta)) (+.f64 beta #s(literal 3 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 alpha #s(literal 1 binary64))))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (+ alpha beta) 2) (+ alpha (+ beta 3))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(approx ( (+ beta 2) (+ beta 2)) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 beta (.f64 beta beta))))
(.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (fma.f64 beta (neg.f64 beta) #s(literal 1 binary64)) (.f64 #s(approx ( (* (+ beta 2) (+ beta 2)) (+ beta 3)) (.f64 beta (.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 beta beta #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -3 binary64))) alpha))

Outputs

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

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

Calls

1 calls:

19.0ms

beta

Results

Accuracy	Segments	Branch
97.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

beta

Results

Accuracy	Segments	Branch
97.4%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory

-25.0MiB live, 17.2MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

33.0ms

beta

Results

Accuracy	Segments	Branch
96.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms

beta

5.0ms

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

Results

Accuracy	Segments	Branch
94.0%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
94.0%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes14.0ms (0.1%)

Memory

-3.3MiB live, 33.9MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms

beta

4.0ms

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
62.5%	3	`alpha`
91.8%	3	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
91.8%	2	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes6.0ms (0%)

Memory

-27.3MiB live, 9.7MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
91.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms

beta

3.0ms

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

Results

Accuracy	Segments	Branch
77.1%	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)))`
77.2%	2	`beta`

Compiler

Compiled 40 to 16 computations (60% saved)

regimes12.0ms (0.1%)

Memory

-16.3MiB live, 21.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms

alpha

3.0ms

beta

3.0ms

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

Results

Accuracy	Segments	Branch
46.6%	1	`alpha`
46.6%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
46.6%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes9.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

3.0ms

beta

3.0ms

alpha

2.0ms

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

Results

Accuracy	Segments	Branch
45.1%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
45.1%	1	`alpha`
45.1%	1	`beta`

Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes14.0ms (0.1%)

Memory

-21.2MiB live, 18.2MiB allocated

Accuracy

Total -1.0b remaining (-2.7%)

Threshold costs -1b (-2.7%)

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

2.0ms

alpha

2.0ms

beta

2.0ms

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

Results

Accuracy	Segments	Branch
44.6%	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))`
44.6%	1	`beta`
44.6%	1	`alpha`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	9.518248357370303e+125	1.0266756477701436e+126

Samples

1.0ms

16×

valid

Compiler

Compiled 82 to 42 computations (48.8% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.9769013116370726e+114	4.743442291131275e+114

Samples

2.0ms

32×

valid

Compiler

Compiled 120 to 61 computations (49.2% saved)

Precisions

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

ival-add: 1.0ms (67.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.9769013116370726e+114	4.743442291131275e+114

Compiler

Compiled 120 to 63 computations (47.5% saved)

bsearch14.0ms (0.1%)

Memory

-15.0MiB live, 20.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.1136463420277345e+99	1.1336712598683272e+100

Samples

9.0ms

80×

valid

Compiler

Compiled 280 to 164 computations (41.4% saved)

Precisions

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

ival-add: 2.0ms (51.6% of total)

ival-div: 1.0ms (25.8% of total)

ival-mult: 1.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

30.6MiB live, 30.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	2.3405806464251074e+32	2.7045526093655477e+38

Samples

6.0ms

80×

valid

Compiler

Compiled 275 to 169 computations (38.5% saved)

Precisions

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

ival-add: 2.0ms (51.7% of total)

ival-div: 1.0ms (25.9% of total)

ival-mult: 1.0ms (25.9% 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

-19.3MiB live, 47.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.3405806464251074e+32	2.7045526093655477e+38

Samples

9.0ms

128×

valid

Compiler

Compiled 445 to 271 computations (39.1% saved)

Precisions

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

ival-add: 3.0ms (47% of total)

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

ival-mult: 1.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3405806464251074e+32	2.7045526093655477e+38

Compiler

Compiled 427 to 262 computations (38.6% saved)

bsearch10.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	2.3405806464251074e+32	2.7045526093655477e+38

Samples

6.0ms

80×

valid

Compiler

Compiled 336 to 219 computations (34.8% saved)

Precisions

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

ival-add: 2.0ms (51.6% of total)

ival-div: 1.0ms (25.8% of total)

ival-mult: 1.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.2%)

Memory

-30.8MiB live, 28.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.3405806464251074e+32	2.7045526093655477e+38

Samples

21.0ms

112×

valid

Compiler

Compiled 337 to 217 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 15.0ms (81.2% of total)

ival-add: 2.0ms (10.8% of total)

ival-mult: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.1%)

Memory

-11.2MiB live, 27.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.3405806464251074e+32	2.7045526093655477e+38

Samples

12.0ms

112×

valid

Compiler

Compiled 301 to 190 computations (36.9% saved)

Precisions

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

ival-div: 6.0ms (60.8% of total)

ival-add: 2.0ms (20.3% of total)

ival-mult: 1.0ms (10.1% 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

0.6MiB live, 38.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0006463035409254727	26.188123965663895

Samples

11.0ms

128×

valid

Compiler

Compiled 224 to 139 computations (37.9% saved)

Precisions

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

ival-add: 3.0ms (38.1% of total)

ival-mult: 3.0ms (38.1% of total)

ival-div: 2.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006463035409254727	26.188123965663895

Compiler

Compiled 224 to 139 computations (37.9% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006463035409254727	26.188123965663895

Compiler

Compiled 216 to 131 computations (39.4% saved)

bsearch14.0ms (0.1%)

Memory

-11.4MiB live, 26.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0006463035409254727	26.188123965663895

Samples

7.0ms

96×

valid

Compiler

Compiled 216 to 131 computations (39.4% saved)

Precisions

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

ival-add: 2.0ms (42.5% of total)

ival-div: 1.0ms (21.2% of total)

ival-mult: 1.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

-2.3MiB live, 42.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.3772455521196213e+66	2.7743886363841743e+74

Samples

10.0ms

144×

valid

Compiler

Compiled 229 to 127 computations (44.5% saved)

Precisions

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

ival-add: 3.0ms (43% of total)

ival-div: 2.0ms (28.7% of total)

ival-mult: 2.0ms (28.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify14.0ms (0.1%)

Memory

33.9MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
20×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1344
1	185	1344

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 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)))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 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 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 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)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 8999999999999999948859130765266355329578537025198862586562510896759102769772101980841694466750283776 binary64)) (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 19999999999999999077525316404242284544 binary64)) (/.f64 (+.f64 #s(approx (+ (* alpha beta) (+ alpha beta)) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 4900000000000000136841158448906240 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 4900000000000000136841158448906240 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 599999999999999996168176207396864 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 7800000000000000382531854923726848 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 255000000000000008603653241529434112 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 205000000000000011037705606048771054966599186101764041834385276414197760 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))

Outputs
(if (<=.f64 beta #s(literal 999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 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)))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 binary64)) (.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 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 3 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 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)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) ( beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 8999999999999999948859130765266355329578537025198862586562510896759102769772101980841694466750283776 binary64)) (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 8999999999999999948859130765266355329578537025198862586562510896759102769772101980841694466750283776 binary64)) (/.f64 #s(approx (+ (+ (* alpha beta) (+ alpha beta)) 1) (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 19999999999999999077525316404242284544 binary64)) (/.f64 (+.f64 #s(approx (+ (* alpha beta) (+ alpha beta)) (.f64 beta (+.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 19999999999999999077525316404242284544 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (* alpha beta) (+ alpha beta)) (.f64 beta (+.f64 alpha #s(literal 1 binary64))))) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(approx (+ (+ alpha beta) 2) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 4900000000000000136841158448906240 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 4900000000000000136841158448906240 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) #s(approx ( (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(approx (/ (+ (+ ( alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 4900000000000000136841158448906240 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 4900000000000000136841158448906240 binary64)) (/.f64 (+.f64 (fma.f64 alpha beta (+.f64 beta alpha)) #s(literal 1 binary64)) #s(approx (* (+ alpha (+ beta 3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) (.f64 (+.f64 beta #s(literal 3 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 599999999999999996168176207396864 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 599999999999999996168176207396864 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (/.f64 (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (+ (+ alpha beta) 2)) (+.f64 alpha #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(if (<=.f64 beta #s(literal 7800000000000000382531854923726848 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 7800000000000000382531854923726848 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) (/.f64 #s(approx (/ (+ (+ (* alpha beta) (+ alpha beta)) 1) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 255000000000000008603653241529434112 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 255000000000000008603653241529434112 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(approx (* (* (+ beta 2) (+ beta 2)) (+ beta 3)) (fma.f64 beta (fma.f64 beta (+.f64 beta #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta)))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))))
(if (<=.f64 beta #s(literal 205000000000000011037705606048771054966599186101764041834385276414197760 binary64)) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) #s(literal 1/4 binary64))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 alpha #s(literal 3 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 beta) (* (* (+ beta 2) (+ beta 2)) (+ beta 3))) #s(literal 1/12 binary64)))

soundness1.8s (14.2%)

Memory

-24.5MiB live, 1 333.6MiB allocated

Rules

7 696×	`lower-fma.f64`
7 696×	`lower-fma.f32`
7 390×	`lower-+.f64`
7 390×	`lower-+.f32`
7 204×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	478
0	102	448
1	469	420
2	3912	420
0	9813	420
0	1303	20215
1	4561	19288
0	8497	18318
0	44	363
0	75	303
1	360	303
2	3128	303
0	8698	303
0	14	78
0	26	74
1	123	66
2	1161	66
0	8168	63
0	751	17527
1	2662	16706
0	8383	15783
0	1304	20563
1	4576	19627
0	8538	18643
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×	node limit
1×	iter limit
1×	node limit
1×	iter 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

Compiler

Compiled 2 051 to 898 computations (56.2% saved)

preprocess103.0ms (0.8%)

Memory: -0.6MiB live, 238.1MiB allocated
Compiler: Compiled 1 254 to 316 computations (74.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.3s (10.2%)

explain231.0ms (1.8%)

preprocess685.0ms (5.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify983.0ms (7.8%)

localize189.0ms (1.5%)

series110.0ms (0.9%)

simplify424.0ms (3.4%)

rewrite418.0ms (3.3%)

eval119.0ms (0.9%)

prune149.0ms (1.2%)

simplify450.0ms (3.6%)

localize202.0ms (1.6%)

series54.0ms (0.4%)

simplify373.0ms (3%)

rewrite283.0ms (2.3%)

eval284.0ms (2.3%)

prune308.0ms (2.5%)

simplify177.0ms (1.4%)

localize158.0ms (1.3%)

series56.0ms (0.4%)

simplify435.0ms (3.5%)

rewrite313.0ms (2.5%)

eval196.0ms (1.6%)

prune225.0ms (1.8%)

simplify456.0ms (3.6%)

localize227.0ms (1.8%)

series46.0ms (0.4%)

simplify367.0ms (2.9%)

rewrite402.0ms (3.2%)

eval182.0ms (1.5%)

prune267.0ms (2.1%)

regimes107.0ms (0.9%)

regimes36.0ms (0.3%)

regimes24.0ms (0.2%)

regimes19.0ms (0.1%)

regimes47.0ms (0.4%)

regimes14.0ms (0.1%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes21.0ms (0.2%)

regimes9.0ms (0.1%)

regimes34.0ms (0.3%)

regimes11.0ms (0.1%)

regimes14.0ms (0.1%)

regimes6.0ms (0%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch2.0ms (0%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch14.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch25.0ms (0.2%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

bsearch27.0ms (0.2%)

bsearch19.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch14.0ms (0.1%)

bsearch20.0ms (0.2%)

simplify14.0ms (0.1%)

soundness1.8s (14.2%)

preprocess103.0ms (0.8%)

end0.0ms (0%)

Profiling