Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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 21 to 15 computations (28.6% saved)

sample1.2s (11.6%)

Memory

52.0MiB live, 1 858.1MiB allocated

Samples

490.0ms	6 042×	0	valid
208.0ms	1 440×	1	valid
181.0ms	774×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 560.0ms

ival-add: 182.0ms (32.5% of total)

ival-div: 157.0ms (28% of total)

ival->: 73.0ms (13% of total)

ival-sub: 66.0ms (11.8% of total)

adjust: 53.0ms (9.5% of total)

exact: 16.0ms (2.9% of total)

ival-and: 10.0ms (1.8% of total)

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

Bogosity

preprocess553.0ms (5.3%)

Memory

-45.8MiB live, 248.5MiB allocated

Algorithm

2×	egg-herbie

Rules

2 176×	`accelerator-lowering-fma.f32`
2 176×	`accelerator-lowering-fma.f64`
1 144×	`distribute-rgt-in`
1 100×	`div-sub`
1 028×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	82
1	87	80
2	190	80
3	486	78
4	1239	78
5	2943	78
6	5545	78
7	6422	78
8	6610	78
9	6646	78
10	6693	78
11	6693	78
12	6921	78
13	7032	78
14	7034	78
15	7034	78
16	7034	78
17	7566	78
18	7811	78
19	7811	78
20	7811	78
21	7811	78
0	10	13
1	22	13
2	39	13
3	67	13
4	127	13
5	286	13
6	566	13
7	942	13
8	1610	13
9	2828	13
10	3039	13
11	3126	13
12	3180	13
13	3182	13
14	3182	13
15	3182	13
0	3182	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

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

Call 2

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)

Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ 1/2 (* (- beta alpha) (/ 1/2 (+ (+ beta alpha) 2))))
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(+ 1/2 (/ (+ beta alpha) (+ 4 (* 2 (- beta alpha)))))
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(+ 1/2 (* (+ beta alpha) (/ 1/2 (+ beta (- -2 alpha)))))
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (+ -4 (* 2 (- alpha beta)))))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(+ -1/2 (* (+ beta alpha) (/ 1/2 (+ 2 (- alpha beta)))))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)
(+ 1/2 (* (- beta alpha) (/ 1/2 (- -2 (+ beta alpha)))))

explain176.0ms (1.7%)

Memory

21.7MiB live, 255.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
81	-	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	-	`beta`
0	-	-	`(+.f64 alpha beta)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	-	`alpha`
0	-	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	-	-	`(-.f64 beta alpha)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	81	0

Confusion

	Predicted +	Predicted -
+	81	0
-	0	175

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	0	0	175

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	175
1	81

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms	352×	0	valid
15.0ms	118×	1	valid
9.0ms	42×	2	valid

Compiler

Compiled 130 to 44 computations (66.2% saved)

Precisions

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

ival-div: 12.0ms (39.2% of total)

ival-add: 10.0ms (32.6% of total)

adjust: 4.0ms (13.1% of total)

ival-sub: 4.0ms (13.1% of total)

exact: 1.0ms (3.3% of total)

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

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

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
▶	70.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify140.0ms (1.4%)

Memory

23.1MiB live, 176.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	512	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

2 176×	`accelerator-lowering-fma.f32`
2 176×	`accelerator-lowering-fma.f64`
880×	`-lowering-.f32`
880×	`-lowering-.f64`
474×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	22	48
2	39	48
3	67	48
4	127	48
5	286	48
6	566	48
7	942	48
8	1610	48
9	2828	48
10	3039	48
11	3126	48
12	3180	48
13	3182	48
14	3182	48
15	3182	48
0	3182	47

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(/ (- beta alpha) (+ (+ alpha beta) 2))
(- beta alpha)
beta
alpha
(+ (+ alpha beta) 2)
(+ alpha beta)
2
1

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

localize49.0ms (0.5%)

Memory

-29.2MiB live, 94.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	70.5%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

11.0ms	176×	0	valid
7.0ms	59×	1	valid
4.0ms	21×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-div: 4.0ms (30.6% of total)

ival-add: 4.0ms (30.6% of total)

adjust: 2.0ms (15.3% of total)

ival-sub: 2.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)>
#<alt (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)>
#<alt (/ (- beta alpha) (+ (+ alpha beta) 2))>
#<alt (- beta alpha)>
#<alt (+ alpha beta)>
#<alt (+ (+ alpha beta) 2)>

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

Calls

36 calls:

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

rewrite416.0ms (4%)

Memory

-2.6MiB live, 777.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 066×	`accelerator-lowering-fma.f32`
5 066×	`accelerator-lowering-fma.f64`
4 410×	`-lowering-.f32`
4 410×	`-lowering-.f64`
4 264×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	85	44
2	742	44
0	9043	43

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 458

Calls

Call 1

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(/ (- beta alpha) (+ (+ alpha beta) 2))
(- beta alpha)
(+ alpha beta)
(+ (+ alpha beta) 2)

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
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simplify550.0ms (5.3%)

Memory

-25.3MiB live, 866.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
3 924×	`+-lowering-+.f64`
3 924×	`+-lowering-+.f32`
3 726×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

eval121.0ms (1.2%)

Memory: 2.2MiB live, 170.5MiB allocated
Compiler: Compiled 18 403 to 2 325 computations (87.4% saved)

prune78.0ms (0.8%)

Memory

19.0MiB live, 216.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	592	10	602
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	593	10	603

Accuracy

100.0%

Counts

603 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.5%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	29.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
▶	69.6%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
	70.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	32.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
	32.0%	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)
	60.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 alpha (/.f64 beta alpha) alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	33.5%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	46.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
▶	36.2%	#s(literal 1 binary64)

Compiler

Compiled 274 to 184 computations (32.8% saved)

simplify424.0ms (4.1%)

Memory

-3.0MiB live, 664.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

15 956×	`accelerator-lowering-fma.f32`
15 956×	`accelerator-lowering-fma.f64`
4 892×	`-lowering-.f32`
4 892×	`-lowering-.f64`
1 850×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
1	73	157
2	161	150
3	377	149
4	1135	143
5	2947	141
6	4214	141
0	8087	133

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(- beta alpha)
beta
alpha
(+ beta (+ alpha 2))
(+ alpha 2)
2
1/2
1
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2)
1/2
(/ beta (+ 2 beta))
beta
(+ 2 beta)
2
(+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1)
1/2
(/ (+ (* alpha -2) -2) beta)
(+ (* alpha -2) -2)
alpha
-2
beta
1
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))
1/2
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))
(+ 2 beta)
2
beta
(/ (+ (* beta -2) -2) alpha)
(+ (* beta -2) -2)
-2
alpha
(+ 1 beta)
1

Outputs
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
(/ (- beta alpha) (+ beta (+ alpha 2)))
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 #s(literal -2 binary64) beta)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ beta (+ alpha 2))
(-.f64 alpha (-.f64 #s(literal -2 binary64) beta))
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2)
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
1/2
#s(literal 1/2 binary64)
(/ (+ (* alpha -2) -2) beta)
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(+ (* alpha -2) -2)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
alpha
-2
#s(literal -2 binary64)
beta
1
#s(literal 1 binary64)
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 0 binary64)) alpha)
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))
(fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))
(/.f64 (fma.f64 beta (fma.f64 beta #s(literal -2 binary64) #s(literal -6 binary64)) #s(literal -4 binary64)) alpha)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
beta
(/ (+ (* beta -2) -2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(+ (* beta -2) -2)
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
alpha
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize151.0ms (1.5%)

Memory

28.4MiB live, 255.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
✓	accuracy	99.9%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
✓	accuracy	100.0%	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	70.5%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

32.0ms	176×	0	valid
26.0ms	59×	1	valid
14.0ms	21×	2	valid

Compiler

Compiled 146 to 31 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 15.0ms (30.4% of total)

ival-div: 14.0ms (28.4% of total)

ival-mult: 13.0ms (26.4% of total)

adjust: 4.0ms (8.1% of total)

ival-sub: 2.0ms (4.1% of total)

exact: 1.0ms (2% of total)

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

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

series28.0ms (0.3%)

Memory

-14.4MiB live, 59.9MiB allocated

Counts

16 → 312

Calls

Call 1

Inputs
#<alt (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)>
#<alt (/ (- beta alpha) (+ beta (+ alpha 2)))>
#<alt (- beta alpha)>
#<alt (+ beta (+ alpha 2))>
#<alt (+ (* 1/2 (/ beta (+ 2 beta))) 1/2)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1)>
#<alt (/ (+ (* alpha -2) -2) beta)>
#<alt (+ (* alpha -2) -2)>
#<alt (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))>
#<alt (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)>
#<alt (+ alpha 2)>
#<alt (/ (+ (* beta -2) -2) alpha)>
#<alt (+ 1 beta)>

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

Calls

78 calls:

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

rewrite511.0ms (4.9%)

Memory

-24.1MiB live, 767.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 104×	`/-lowering-/.f32`
5 104×	`/-lowering-/.f64`
4 350×	`-lowering-.f32`
4 350×	`-lowering-.f64`
4 108×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	130
1	225	130
2	2053	130
0	9010	116

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 753

Calls

Call 1

Inputs
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(- beta alpha)
(+ beta (+ alpha 2))
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2)
(/ beta (+ 2 beta))
(+ 2 beta)
(+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1)
(/ (+ (* alpha -2) -2) beta)
(+ (* alpha -2) -2)
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)
(+ alpha 2)
(/ (+ (* beta -2) -2) alpha)
(+ 1 beta)

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

simplify439.0ms (4.2%)

Memory

23.4MiB live, 804.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 376×	`accelerator-lowering-fma.f32`
8 376×	`accelerator-lowering-fma.f64`
4 686×	`+-lowering-+.f64`
4 686×	`+-lowering-+.f32`
4 458×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	3805
1	1612	3677
2	4796	3520
0	8196	3250

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

Outputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) beta) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(fma.f64 beta (.f64 #s(literal 1/2 binary64) (fma.f64 beta (.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(fma.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta beta)) #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 beta beta)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) (.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)))) beta)) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) beta (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (fma.f64 #s(literal 1/2 binary64) beta (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (.f64 alpha alpha))))) (.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (.f64 alpha alpha))))) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (-.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 beta (fma.f64 beta (.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 beta beta)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta beta)) #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 beta beta)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64)))) beta)) beta))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 alpha (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 alpha (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 alpha (+.f64 (fma.f64 alpha (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (/.f64 beta (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 alpha alpha)) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)))
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(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
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(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) beta)))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) alpha)
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64)))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64)))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64)))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64)))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64)))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64)))
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(fma.f64 (/.f64 beta alpha) #s(literal -6 binary64) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(fma.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(fma.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha))
(* -2 (/ (pow beta 2) alpha))
(/.f64 (.f64 (.f64 beta beta) #s(literal -2 binary64)) alpha)
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 #s(literal -2 binary64) alpha) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha beta)))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta)))
(* -2 (/ (pow beta 2) alpha))
(/.f64 (.f64 (.f64 beta beta) #s(literal -2 binary64)) alpha)
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 #s(literal -2 binary64) alpha) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha beta)))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta)))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(.f64 beta (/.f64 beta (.f64 alpha (-.f64 #s(literal 0 binary64) alpha))))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha beta)) (/.f64 #s(literal -1 binary64) (.f64 alpha alpha))) (/.f64 #s(literal -3 binary64) (.f64 alpha (.f64 alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))) (/.f64 #s(literal -2 binary64) (.f64 alpha (.f64 alpha (.f64 beta beta))))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -3 binary64) (.f64 alpha (*.f64 alpha beta))))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta)))) (/.f64 #s(literal -2 binary64) (.f64 alpha (.f64 alpha (.f64 beta beta))))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -3 binary64) (.f64 alpha (*.f64 alpha beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(.f64 beta (/.f64 beta (.f64 alpha (-.f64 #s(literal 0 binary64) alpha))))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(.f64 (.f64 beta beta) (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (.f64 alpha (.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (.f64 alpha alpha))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) beta)) beta)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) beta)) beta)))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2)))
(/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (.f64 alpha alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64))) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64))) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64))) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) beta) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) beta) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) beta) (-.f64 #s(literal 0 binary64) alpha))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(* -2 (/ beta alpha))
(/.f64 (*.f64 beta #s(literal -2 binary64)) alpha)
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (.f64 alpha beta))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (.f64 alpha beta))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (.f64 alpha beta))))
(* -2 (/ beta alpha))
(/.f64 (*.f64 beta #s(literal -2 binary64)) alpha)
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (.f64 alpha beta))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (.f64 alpha beta))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (.f64 alpha beta))))
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))

eval185.0ms (1.8%)

Memory: 18.8MiB live, 442.7MiB allocated
Compiler: Compiled 28 359 to 3 395 computations (88% saved)

prune125.0ms (1.2%)

Memory

21.7MiB live, 419.3MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 087	15	1 102
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	1 094	18	1 112

Accuracy

100.0%

Counts

1 112 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	60.6%	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	46.1%	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	29.0%	(fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
▶	69.6%	(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
	43.0%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	42.0%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	43.1%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	69.6%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
	3.7%	(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	19.2%	(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))
▶	7.8%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) beta) alpha)
	32.0%	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)
	33.5%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	26.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
▶	29.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	36.2%	#s(literal 1 binary64)
▶	46.6%	#s(literal 1/2 binary64)

Compiler

Compiled 383 to 268 computations (30% saved)

simplify513.0ms (5%)

Memory

2.4MiB live, 678.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

15 834×	`accelerator-lowering-fma.f32`
15 834×	`accelerator-lowering-fma.f64`
5 088×	`-lowering-.f32`
5 088×	`-lowering-.f64`
1 920×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	121
1	57	119
2	121	115
3	298	115
4	845	113
5	2150	113
6	3645	111
7	6025	111
0	8508	103

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* beta 1/2) (/ 1 (+ beta 2))) 1/2)
(* beta 1/2)
beta
1/2
(/ 1 (+ beta 2))
1
(+ beta 2)
2
1/2
(+ 1 (/ -1 beta))
1
(/ -1 beta)
-1
beta
(+ (* (/ alpha (- -2 alpha)) 1/2) 1/2)
(/ alpha (- -2 alpha))
alpha
(- -2 alpha)
-2
1/2
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) beta) alpha)
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) beta)
1/2
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))
(+ 2 beta)
2
beta
(/ (+ (* beta -2) -2) alpha)
(+ (* beta -2) -2)
-2
alpha

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

localize115.0ms (1.1%)

Memory

2.6MiB live, 160.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
✓	accuracy	99.9%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) beta) alpha)
✓	accuracy	100.0%	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
✓	accuracy	100.0%	(-.f64 #s(literal -2 binary64) alpha)
✓	accuracy	65.3%	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	accuracy	100.0%	(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 beta #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 beta #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))

Samples

31.0ms	162×	0	valid
21.0ms	64×	1	valid
14.0ms	30×	2	valid

Compiler

Compiled 114 to 28 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add: 15.0ms (32.1% of total)

ival-mult: 14.0ms (29.9% of total)

ival-div: 12.0ms (25.6% of total)

adjust: 4.0ms (8.5% of total)

ival-sub: 2.0ms (4.3% of total)

exact: 1.0ms (2.1% of total)

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

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

series24.0ms (0.2%)

Memory

-62.1MiB live, 11.9MiB allocated

Counts

14 → 216

Calls

Call 1

Inputs
#<alt (+ (* (* beta 1/2) (/ 1 (+ beta 2))) 1/2)>
#<alt (* beta 1/2)>
#<alt (/ 1 (+ beta 2))>
#<alt (+ beta 2)>
#<alt (+ 1 (/ -1 beta))>
#<alt (/ -1 beta)>
#<alt (+ (* (/ alpha (- -2 alpha)) 1/2) 1/2)>
#<alt (/ alpha (- -2 alpha))>
#<alt (- -2 alpha)>
#<alt (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) beta)>
#<alt (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) beta) alpha)>
#<alt (+ 2 beta)>
#<alt (/ (+ (* beta -2) -2) alpha)>

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

Calls

54 calls:

Time	Variable		Point	Expression
16.0ms	alpha	@	inf	(+ (* (/ alpha (- -2 alpha)) 1/2) 1/2)
0.0ms	alpha	@	-inf	(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) beta) alpha)
0.0ms	alpha	@	-inf	(+ (* (/ alpha (- -2 alpha)) 1/2) 1/2)
0.0ms	beta	@	-inf	(* beta 1/2)
0.0ms	alpha	@	inf	(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) beta) alpha)

rewrite572.0ms (5.5%)

Memory

7.2MiB live, 637.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 246×	`/-lowering-/.f32`
5 246×	`/-lowering-/.f64`
3 950×	`-lowering-.f32`
3 950×	`-lowering-.f64`
3 612×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	98
1	182	98
2	1568	98
0	8252	88

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 743

Calls

Call 1

Inputs
(+ (* (* beta 1/2) (/ 1 (+ beta 2))) 1/2)
(* beta 1/2)
(/ 1 (+ beta 2))
(+ beta 2)
(+ 1 (/ -1 beta))
(/ -1 beta)
(+ (* (/ alpha (- -2 alpha)) 1/2) 1/2)
(/ alpha (- -2 alpha))
(- -2 alpha)
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) beta)
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) beta) alpha)
(+ 2 beta)
(/ (+ (* beta -2) -2) alpha)

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

simplify489.0ms (4.7%)

Memory

35.8MiB live, 704.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 888×	`accelerator-lowering-fma.f32`
9 888×	`accelerator-lowering-fma.f64`
4 420×	`-lowering-.f32`
4 420×	`-lowering-.f64`
2 982×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1879
1	832	1855
2	2101	1744
3	6842	1742
0	8134	1642

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta))
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 beta))
(fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* beta (- (* 1/8 beta) 1/4)))
(fma.f64 beta (fma.f64 beta #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (- 1 (* 2 (/ 1 beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta)
(/ (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta)
(/ (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta) (/.f64 #s(literal -8 binary64) (.f64 beta (.f64 beta beta))))) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (* 2 (/ 1 beta)) 1) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 4) beta)) 2) beta)) 1) beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta)) beta)
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ (- beta 1) beta)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/ (- beta 1) beta)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/ (- beta 1) beta)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha)) alpha)
(* -1/2 alpha)
(*.f64 alpha #s(literal -1/2 binary64))
(* alpha (- (* 1/4 alpha) 1/2))
(*.f64 alpha (fma.f64 #s(literal 1/4 binary64) alpha #s(literal -1/2 binary64)))
(* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))
(*.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/8 binary64) alpha #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(* alpha (- (* alpha (+ 1/4 (* alpha (- (* 1/16 alpha) 1/8)))) 1/2))
(*.f64 alpha (fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/16 binary64) alpha #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
(- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
(- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha))
-2
#s(literal -2 binary64)
(- (* -1 alpha) 2)
(-.f64 #s(literal -2 binary64) alpha)
(- (* -1 alpha) 2)
(-.f64 #s(literal -2 binary64) alpha)
(- (* -1 alpha) 2)
(-.f64 #s(literal -2 binary64) alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(- (* beta (- 1 (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(fma.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) (/.f64 #s(literal -2 binary64) alpha))
(- (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))
(- (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))
(* -1 (/ (pow beta 2) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(.f64 beta (fma.f64 beta (+.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -3 binary64) (.f64 beta alpha))) #s(literal 1 binary64)))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (+ (/ 2 (* alpha (pow beta 2))) (/ 3 (* alpha beta))))))
(.f64 beta (fma.f64 beta (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (+ (/ 2 (* alpha (pow beta 2))) (/ 3 (* alpha beta))))))
(.f64 beta (fma.f64 beta (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)))
(* -1 (/ (pow beta 2) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(.f64 beta (fma.f64 beta (+.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -3 binary64) (.f64 beta alpha))) #s(literal 1 binary64)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) 1) beta)) (/ 1 alpha)))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)))) beta)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) 1) beta)) (/ 1 alpha)))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)))) beta)))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha beta)) alpha)
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha beta)) alpha)
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha beta)) alpha)
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) alpha)
beta
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta)
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta)
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta)
beta
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta)
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta)
(+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))
(fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(fma.f64 beta (/.f64 #s(literal -6 binary64) alpha) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(fma.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(fma.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha))
(* -2 (/ (pow beta 2) alpha))
(/.f64 (.f64 beta (.f64 beta #s(literal -2 binary64))) alpha)
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(*.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) alpha) (/.f64 #s(literal -4 binary64) (*.f64 beta alpha))) beta) (/.f64 #s(literal -2 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) alpha) (/.f64 #s(literal -4 binary64) (*.f64 beta alpha))) beta) (/.f64 #s(literal -2 binary64) alpha)))
(* -2 (/ (pow beta 2) alpha))
(/.f64 (.f64 beta (.f64 beta #s(literal -2 binary64))) alpha)
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(*.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) alpha) (/.f64 #s(literal -4 binary64) (*.f64 beta alpha))) beta) (/.f64 #s(literal -2 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) alpha) (/.f64 #s(literal -4 binary64) (*.f64 beta alpha))) beta) (/.f64 #s(literal -2 binary64) alpha)))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(/ -2 (pow alpha 2))
(/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))
(- (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (.f64 alpha alpha))) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha)))
(- (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha)))
(- (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(/.f64 (.f64 beta beta) (.f64 alpha (-.f64 #s(literal 0 binary64) alpha)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(.f64 beta (fma.f64 beta (+.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -3 binary64) (.f64 beta (.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (+ (/ 2 (* (pow alpha 2) (pow beta 2))) (/ 3 (* (pow alpha 2) beta))))))
(.f64 beta (fma.f64 beta (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 alpha alpha))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (+ (/ 2 (* (pow alpha 2) (pow beta 2))) (/ 3 (* (pow alpha 2) beta))))))
(.f64 beta (fma.f64 beta (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 alpha alpha))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(/.f64 (.f64 beta beta) (.f64 alpha (-.f64 #s(literal 0 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(.f64 beta (fma.f64 beta (+.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -3 binary64) (.f64 beta (.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) (* 2 (/ 1 (* (pow alpha 2) beta)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(.f64 beta (.f64 beta (-.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (.f64 beta (.f64 alpha alpha)))) beta))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) (* 2 (/ 1 (* (pow alpha 2) beta)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(.f64 beta (.f64 beta (-.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (.f64 beta (.f64 alpha alpha)))) beta))))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2)))
(/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 alpha alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha beta)) (pow alpha 2))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) (*.f64 alpha alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha beta)) (pow alpha 2))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) (*.f64 alpha alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha beta)) (pow alpha 2))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) (*.f64 alpha alpha))
(/ beta alpha)
(/.f64 beta alpha)
(/ (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta) alpha)
(/ (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta) alpha)
(/ (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* -1 (/ (+ (* -1 beta) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta) alpha)
(* -1 (/ (+ (* -1 beta) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta) alpha)
(* -1 (/ (+ (* -1 beta) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) alpha) beta) alpha)
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(* -2 (/ beta alpha))
(/.f64 (*.f64 beta #s(literal -2 binary64)) alpha)
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(* -2 (/ beta alpha))
(/.f64 (*.f64 beta #s(literal -2 binary64)) alpha)
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)

eval132.0ms (1.3%)

Memory: -9.0MiB live, 298.9MiB allocated
Compiler: Compiled 21 582 to 2 796 computations (87% saved)

prune135.0ms (1.3%)

Memory

14.6MiB live, 305.6MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	951	8	959
Fresh	1	10	11
Picked	2	3	5
Done	1	1	2
Total	955	22	977

Accuracy

100.0%

Counts

977 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	60.6%	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	46.1%	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	69.6%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64))
	29.0%	(fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
▶	43.0%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	42.0%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	43.1%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
	45.2%	(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
	44.3%	(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
▶	3.7%	(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	19.2%	(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))
▶	3.9%	(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) (*.f64 alpha alpha))
	8.8%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) beta) alpha)
	33.5%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	27.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
	26.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
▶	9.8%	(/.f64 beta alpha)
	27.9%	(/.f64 #s(literal 1 binary64) alpha)
✓	29.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	36.2%	#s(literal 1 binary64)
✓	46.6%	#s(literal 1/2 binary64)

Compiler

Compiled 401 to 283 computations (29.4% saved)

simplify319.0ms (3.1%)

Memory

-6.9MiB live, 642.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 beta #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) (*.f64 alpha alpha))
✓	cost-diff	320	(*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64))
✓	cost-diff	384	(fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha))
✓	cost-diff	0	(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
✓	cost-diff	0	(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 beta alpha)
✓	cost-diff	384	(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 beta #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64))

Rules

10 418×	`accelerator-lowering-fma.f32`
10 418×	`accelerator-lowering-fma.f64`
2 902×	`-lowering-.f32`
2 902×	`-lowering-.f64`
1 996×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	112
1	64	109
2	147	109
3	343	106
4	637	106
5	1461	102
6	3321	102
7	6667	102
0	8238	93

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ 1/2 (+ beta 2)) beta) 1/2)
(/ 1/2 (+ beta 2))
1/2
(+ beta 2)
beta
2
(+ (* -1 1/2) 1/2)
-1
1/2
(/ beta alpha)
beta
alpha
(+ (* beta (+ (* beta (+ (* beta 1/16) -1/8)) 1/4)) 1/2)
beta
(+ (* beta (+ (* beta 1/16) -1/8)) 1/4)
(+ (* beta 1/16) -1/8)
1/16
-1/8
1/4
1/2
(/ (+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha)) (* alpha alpha))
(+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha))
(+ beta 2)
beta
2
(* (+ beta 1) -1)
(+ beta 1)
1
-1
(* beta alpha)
alpha
(* alpha alpha)

Outputs
(+ (* (/ 1/2 (+ beta 2)) beta) 1/2)
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/ 1/2 (+ beta 2))
(/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
beta
2
#s(literal 2 binary64)
(+ (* -1 1/2) 1/2)
#s(literal 0 binary64)
-1
#s(literal -1 binary64)
1/2
#s(literal 1/2 binary64)
(/ beta alpha)
(/.f64 beta alpha)
beta
alpha
(+ (* beta (+ (* beta (+ (* beta 1/16) -1/8)) 1/4)) 1/2)
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
beta
(+ (* beta (+ (* beta 1/16) -1/8)) 1/4)
(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
(+ (* beta 1/16) -1/8)
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
1/16
#s(literal 1/16 binary64)
-1/8
#s(literal -1/8 binary64)
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 binary64)
(/ (+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha)) (* alpha alpha))
(/.f64 (fma.f64 beta (+.f64 (-.f64 alpha beta) #s(literal -3 binary64)) #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal 0 binary64)))
(+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha))
(fma.f64 beta (+.f64 (-.f64 alpha beta) #s(literal -3 binary64)) #s(literal -2 binary64))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
beta
2
#s(literal 2 binary64)
(* (+ beta 1) -1)
(-.f64 #s(literal -1 binary64) beta)
(+ beta 1)
(+.f64 beta #s(literal 1 binary64))
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(* beta alpha)
(fma.f64 beta alpha #s(literal 0 binary64))
alpha
(* alpha alpha)
(fma.f64 alpha alpha #s(literal 0 binary64))

localize72.0ms (0.7%)

Memory

-17.6MiB live, 219.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 beta alpha)
✓	accuracy	100.0%	(*.f64 alpha alpha)
✓	accuracy	97.3%	(fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha))
✓	accuracy	92.7%	(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) (*.f64 alpha alpha))
✓	accuracy	100.0%	(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
✓	accuracy	100.0%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 beta alpha)
✓	accuracy	100.0%	(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 beta #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 108 to 31 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 14.0ms (48.8% of total)

ival-add: 9.0ms (31.4% of total)

ival-div: 5.0ms (17.4% of total)

exact: 1.0ms (3.5% of total)

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

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

series16.0ms (0.2%)

Memory

2.5MiB live, 40.1MiB allocated

Counts

13 → 192

Calls

Call 1

Inputs
#<alt (+ (* (/ 1/2 (+ beta 2)) beta) 1/2)>
#<alt (/ 1/2 (+ beta 2))>
#<alt (+ beta 2)>
#<alt (+ (* -1 1/2) 1/2)>
#<alt (/ beta alpha)>
#<alt (+ (* beta (+ (* beta (+ (* beta 1/16) -1/8)) 1/4)) 1/2)>
#<alt (+ (* beta (+ (* beta 1/16) -1/8)) 1/4)>
#<alt (+ (* beta 1/16) -1/8)>
#<alt (+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha))>
#<alt (* (+ beta 1) -1)>
#<alt (/ (+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha)) (* alpha alpha))>
#<alt (* alpha alpha)>
#<alt (* beta alpha)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/8 beta))>
#<alt (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))>
#<alt (+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))>
#<alt (/ 1/2 beta)>
#<alt (/ (- 1/2 (/ 1 beta)) beta)>
#<alt (/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta)>
#<alt (/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta)>
#<alt (/ 1/2 beta)>
#<alt (* -1 (/ (- (/ 1 beta) 1/2) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt (* 1/16 (pow beta 3))>
#<alt (* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta))))>
#<alt (* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))>
#<alt (* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta))))>
#<alt (* 1/16 (pow beta 3))>
#<alt (* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/8 beta))>
#<alt (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))>
#<alt (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))>
#<alt (* 1/16 (pow beta 2))>
#<alt (* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))>
#<alt (* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))>
#<alt (* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))>
#<alt (* 1/16 (pow beta 2))>
#<alt (* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))>
#<alt (* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))>
#<alt -1/8>
#<alt (- (* 1/16 beta) 1/8)>
#<alt (- (* 1/16 beta) 1/8)>
#<alt (- (* 1/16 beta) 1/8)>
#<alt (* 1/16 beta)>
#<alt (* beta (- 1/16 (* 1/8 (/ 1 beta))))>
#<alt (* beta (- 1/16 (* 1/8 (/ 1 beta))))>
#<alt (* beta (- 1/16 (* 1/8 (/ 1 beta))))>
#<alt (* 1/16 beta)>
#<alt (* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))>
#<alt (* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))>
#<alt (* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))>
#<alt -2>
#<alt (- (* beta (- alpha 3)) 2)>
#<alt (- (* beta (- (+ alpha (* -1 beta)) 3)) 2)>
#<alt (- (* beta (- (+ alpha (* -1 beta)) 3)) 2)>
#<alt (* -1 (pow beta 2))>
#<alt (* (pow beta 2) (- (/ alpha beta) (+ 1 (* 3 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (/ alpha beta) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))>
#<alt (* (pow beta 2) (- (/ alpha beta) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))>
#<alt (* -1 (pow beta 2))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (* -1 alpha)) beta)) 1))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* 2 (/ 1 beta)))) beta)) 1))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* 2 (/ 1 beta)))) beta)) 1))>
#<alt (* -1 (* (+ 1 beta) (+ 2 beta)))>
#<alt (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta))>
#<alt (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta))>
#<alt (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta))>
#<alt (* alpha beta)>
#<alt (* alpha (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))))>
#<alt (* alpha (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))))>
#<alt (* alpha (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))))>
#<alt (* alpha beta)>
#<alt (* -1 (* alpha (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))>
#<alt (* -1 (* alpha (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))>
#<alt (* -1 (* alpha (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))>
#<alt -1>
#<alt (- (* -1 beta) 1)>
#<alt (- (* -1 beta) 1)>
#<alt (- (* -1 beta) 1)>
#<alt (* -1 beta)>
#<alt (* -1 (* beta (+ 1 (/ 1 beta))))>
#<alt (* -1 (* beta (+ 1 (/ 1 beta))))>
#<alt (* -1 (* beta (+ 1 (/ 1 beta))))>
#<alt (* -1 beta)>
#<alt (* -1 (* beta (+ 1 (/ 1 beta))))>
#<alt (* -1 (* beta (+ 1 (/ 1 beta))))>
#<alt (* -1 (* beta (+ 1 (/ 1 beta))))>
#<alt (/ -2 (pow alpha 2))>
#<alt (- (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))>
#<alt (- (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))>
#<alt (- (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))>
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (+ (/ 2 (* (pow alpha 2) (pow beta 2))) (/ 3 (* (pow alpha 2) beta))))))>
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (+ (/ 2 (* (pow alpha 2) (pow beta 2))) (/ 3 (* (pow alpha 2) beta))))))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) (* 2 (/ 1 (* (pow alpha 2) beta)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) (* 2 (/ 1 (* (pow alpha 2) beta)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2)))>
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta)) (pow alpha 2))>
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta)) (pow alpha 2))>
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta)) (pow alpha 2))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)>
#<alt (/ (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)>
#<alt (/ (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)>
#<alt (/ beta alpha)>
#<alt (* -1 (/ (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>
#<alt (* alpha beta)>

Calls

48 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	inf	(+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha))
2.0ms	alpha	@	0	(+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha))
0.0ms	beta	@	inf	(/ beta alpha)
0.0ms	beta	@	-inf	(/ beta alpha)
0.0ms	alpha	@	0	(/ (+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha)) (* alpha alpha))

rewrite375.0ms (3.6%)

Memory

30.1MiB live, 702.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 782×	`accelerator-lowering-fma.f32`
5 782×	`accelerator-lowering-fma.f64`
4 242×	`/-lowering-/.f32`
4 242×	`/-lowering-/.f64`
3 822×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	89
1	172	86
2	1360	83
0	8277	74

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 464

Calls

Call 1

Inputs
(+ (* (/ 1/2 (+ beta 2)) beta) 1/2)
(/ 1/2 (+ beta 2))
(+ beta 2)
(+ (* -1 1/2) 1/2)
(/ beta alpha)
(+ (* beta (+ (* beta (+ (* beta 1/16) -1/8)) 1/4)) 1/2)
(+ (* beta (+ (* beta 1/16) -1/8)) 1/4)
(+ (* beta 1/16) -1/8)
(+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha))
(* (+ beta 1) -1)
(/ (+ (* (+ beta 2) (* (+ beta 1) -1)) (* beta alpha)) (* alpha alpha))
(* alpha alpha)
(* beta alpha)

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

simplify353.0ms (3.4%)

Memory

-17.0MiB live, 616.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 980×	`accelerator-lowering-fma.f32`
8 980×	`accelerator-lowering-fma.f64`
4 748×	`-lowering-.f32`
4 748×	`-lowering-.f64`
2 206×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	1415
1	647	1360
2	1772	1315
3	5852	1314
0	8514	1244

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
1/4
(+ 1/4 (* -1/8 beta))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))
(/ 1/2 beta)
(/ (- 1/2 (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta)
(/ 1/2 beta)
(* -1 (/ (- (/ 1 beta) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/16 (pow beta 3))
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta))))
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta))))
(* 1/16 (pow beta 3))
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16)))
1/4
(+ 1/4 (* -1/8 beta))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(* 1/16 (pow beta 2))
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
(* 1/16 (pow beta 2))
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))
-1/8
(- (* 1/16 beta) 1/8)
(- (* 1/16 beta) 1/8)
(- (* 1/16 beta) 1/8)
(* 1/16 beta)
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(* 1/16 beta)
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))
-2
(- (* beta (- alpha 3)) 2)
(- (* beta (- (+ alpha (* -1 beta)) 3)) 2)
(- (* beta (- (+ alpha (* -1 beta)) 3)) 2)
(* -1 (pow beta 2))
(* (pow beta 2) (- (/ alpha beta) (+ 1 (* 3 (/ 1 beta)))))
(* (pow beta 2) (- (/ alpha beta) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))
(* (pow beta 2) (- (/ alpha beta) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))
(* -1 (pow beta 2))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* -1 alpha)) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* 2 (/ 1 beta)))) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* 2 (/ 1 beta)))) beta)) 1))
(* -1 (* (+ 1 beta) (+ 2 beta)))
(+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta))
(+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta))
(+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta))
(* alpha beta)
(* alpha (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(* alpha (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(* alpha (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(* alpha beta)
(* -1 (* alpha (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(* -1 (* alpha (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(* -1 (* alpha (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
-1
(- (* -1 beta) 1)
(- (* -1 beta) 1)
(- (* -1 beta) 1)
(* -1 beta)
(* -1 (* beta (+ 1 (/ 1 beta))))
(* -1 (* beta (+ 1 (/ 1 beta))))
(* -1 (* beta (+ 1 (/ 1 beta))))
(* -1 beta)
(* -1 (* beta (+ 1 (/ 1 beta))))
(* -1 (* beta (+ 1 (/ 1 beta))))
(* -1 (* beta (+ 1 (/ 1 beta))))
(/ -2 (pow alpha 2))
(- (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))
(- (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))
(- (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (+ (/ 2 (* (pow alpha 2) (pow beta 2))) (/ 3 (* (pow alpha 2) beta))))))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (+ (/ 2 (* (pow alpha 2) (pow beta 2))) (/ 3 (* (pow alpha 2) beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) (* 2 (/ 1 (* (pow alpha 2) beta)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) (* 2 (/ 1 (* (pow alpha 2) beta)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2)))
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta)) (pow alpha 2))
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta)) (pow alpha 2))
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta)) (pow alpha 2))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)
(/ (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)
(/ (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)
(/ beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)
(* alpha beta)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/8 beta))
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal -1/32 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
(/ 1/2 beta)
(/.f64 #s(literal 1/2 binary64) beta)
(/ (- 1/2 (/ 1 beta)) beta)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta)) beta)
(/ 1/2 beta)
(/.f64 #s(literal 1/2 binary64) beta)
(* -1 (/ (- (/ 1 beta) 1/2) beta))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) beta)) beta)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta)) beta)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta)) beta)
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* 1/16 (pow beta 3))
(.f64 beta (.f64 beta (*.f64 beta #s(literal 1/16 binary64))))
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta))))
(.f64 beta (.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
(.f64 (.f64 beta beta) (fma.f64 beta (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 beta beta))) #s(literal -1/8 binary64)))
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta))))
(.f64 (.f64 beta beta) (fma.f64 beta (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) (.f64 beta (*.f64 beta beta))))) #s(literal -1/8 binary64)))
(* 1/16 (pow beta 3))
(.f64 beta (.f64 beta (*.f64 beta #s(literal 1/16 binary64))))
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16)))
(.f64 beta (.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16)))
(.f64 (.f64 beta beta) (fma.f64 beta (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 beta beta))) #s(literal -1/8 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16)))
(.f64 (.f64 beta (.f64 beta beta)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) beta) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 beta beta)))) beta)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/8 beta))
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
(* 1/16 (pow beta 2))
(.f64 beta (.f64 beta #s(literal 1/16 binary64)))
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))
(*.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
(.f64 beta (fma.f64 beta (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 beta beta))) #s(literal -1/8 binary64)))
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
(.f64 beta (fma.f64 beta (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 beta beta))) #s(literal -1/8 binary64)))
(* 1/16 (pow beta 2))
(.f64 beta (.f64 beta #s(literal 1/16 binary64)))
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))
(*.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))
(.f64 beta (fma.f64 beta (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 beta beta))) #s(literal -1/8 binary64)))
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))
(.f64 beta (fma.f64 beta (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 beta beta))) #s(literal -1/8 binary64)))
-1/8
#s(literal -1/8 binary64)
(- (* 1/16 beta) 1/8)
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* 1/16 beta) 1/8)
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* 1/16 beta) 1/8)
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* 1/16 beta)
(*.f64 beta #s(literal 1/16 binary64))
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* 1/16 beta)
(*.f64 beta #s(literal 1/16 binary64))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
-2
#s(literal -2 binary64)
(- (* beta (- alpha 3)) 2)
(fma.f64 beta (+.f64 alpha #s(literal -3 binary64)) #s(literal -2 binary64))
(- (* beta (- (+ alpha (* -1 beta)) 3)) 2)
(fma.f64 beta (+.f64 (-.f64 alpha beta) #s(literal -3 binary64)) #s(literal -2 binary64))
(- (* beta (- (+ alpha (* -1 beta)) 3)) 2)
(fma.f64 beta (+.f64 (-.f64 alpha beta) #s(literal -3 binary64)) #s(literal -2 binary64))
(* -1 (pow beta 2))
(-.f64 #s(literal 0 binary64) (*.f64 beta beta))
(* (pow beta 2) (- (/ alpha beta) (+ 1 (* 3 (/ 1 beta)))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 alpha beta) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) beta))))
(* (pow beta 2) (- (/ alpha beta) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))
(.f64 beta (.f64 beta (+.f64 (/.f64 alpha beta) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)))))
(* (pow beta 2) (- (/ alpha beta) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))
(.f64 beta (.f64 beta (+.f64 (/.f64 alpha beta) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)))))
(* -1 (pow beta 2))
(-.f64 #s(literal 0 binary64) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* -1 alpha)) beta)) 1))
(.f64 (.f64 beta beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal -3 binary64)) beta)))
(* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* 2 (/ 1 beta)))) beta)) 1))
(.f64 beta (.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -2 binary64) beta))) beta))))
(* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* 2 (/ 1 beta)))) beta)) 1))
(.f64 beta (.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -2 binary64) beta))) beta))))
(* -1 (* (+ 1 beta) (+ 2 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta))
(+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64)))
(+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64)))
(+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64)))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64)))
(* alpha (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64)))
(* alpha (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64)))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* -1 (* alpha (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64)))
(* -1 (* alpha (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64)))
(* -1 (* alpha (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 beta) 1)
(-.f64 #s(literal -1 binary64) beta)
(- (* -1 beta) 1)
(-.f64 #s(literal -1 binary64) beta)
(- (* -1 beta) 1)
(-.f64 #s(literal -1 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 (* beta (+ 1 (/ 1 beta))))
(-.f64 #s(literal -1 binary64) beta)
(* -1 (* beta (+ 1 (/ 1 beta))))
(-.f64 #s(literal -1 binary64) beta)
(* -1 (* beta (+ 1 (/ 1 beta))))
(-.f64 #s(literal -1 binary64) beta)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(* -1 (* beta (+ 1 (/ 1 beta))))
(-.f64 #s(literal -1 binary64) beta)
(* -1 (* beta (+ 1 (/ 1 beta))))
(-.f64 #s(literal -1 binary64) beta)
(* -1 (* beta (+ 1 (/ 1 beta))))
(-.f64 #s(literal -1 binary64) beta)
(/ -2 (pow alpha 2))
(/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))
(- (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (.f64 alpha alpha))) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha)))
(- (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha)))
(- (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2))))
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(/.f64 (.f64 beta beta) (-.f64 #s(literal 0 binary64) (.f64 alpha alpha)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(.f64 beta (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta alpha #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -3 binary64) (.f64 beta (*.f64 alpha alpha)))))))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (+ (/ 2 (* (pow alpha 2) (pow beta 2))) (/ 3 (* (pow alpha 2) beta))))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta alpha #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 alpha alpha))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (+ (/ 2 (* (pow alpha 2) (pow beta 2))) (/ 3 (* (pow alpha 2) beta))))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta alpha #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 alpha alpha))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(/.f64 (.f64 beta beta) (-.f64 #s(literal 0 binary64) (.f64 alpha alpha)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(.f64 beta (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta alpha #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -3 binary64) (.f64 beta (*.f64 alpha alpha)))))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) (* 2 (/ 1 (* (pow alpha 2) beta)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (.f64 beta (.f64 alpha alpha)))) beta)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) (* 2 (/ 1 (* (pow alpha 2) beta)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (.f64 beta (.f64 alpha alpha)))) beta)))
(* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2)))
(/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta)) (.f64 alpha alpha))
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta)) (pow alpha 2))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64))) (*.f64 alpha alpha))
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta)) (pow alpha 2))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64))) (*.f64 alpha alpha))
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha beta)) (pow alpha 2))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta) (fma.f64 beta alpha #s(literal 0 binary64))) (*.f64 alpha alpha))
(/ beta alpha)
(/.f64 beta alpha)
(/ (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta) alpha)
(/ (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta) alpha)
(/ (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta) alpha)
(* -1 (/ (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta) alpha)
(* -1 (/ (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta) alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))
(* alpha beta)
(fma.f64 beta alpha #s(literal 0 binary64))

eval100.0ms (1%)

Memory: 11.1MiB live, 237.0MiB allocated
Compiler: Compiled 17 327 to 1 689 computations (90.3% saved)

prune89.0ms (0.9%)

Memory

-5.2MiB live, 212.1MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	710	4	714
Fresh	2	11	13
Picked	2	3	5
Done	0	4	4
Total	714	22	736

Accuracy

100.0%

Counts

736 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
	33.7%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	60.6%	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	46.1%	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	69.6%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64))
	29.0%	(fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
✓	43.0%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	43.1%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
	45.2%	(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
	44.3%	(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
	19.2%	(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))
	7.8%	(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta) alpha)
	3.9%	(/.f64 (fma.f64 beta (+.f64 (-.f64 alpha beta) #s(literal -3 binary64)) #s(literal -2 binary64)) (*.f64 alpha alpha))
	33.5%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	27.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
	26.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
✓	9.8%	(/.f64 beta alpha)
	27.9%	(/.f64 #s(literal 1 binary64) alpha)
✓	29.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	36.2%	#s(literal 1 binary64)
✓	46.6%	#s(literal 1/2 binary64)
	3.7%	#s(literal 0 binary64)

Compiler

Compiled 560 to 268 computations (52.1% saved)

regimes181.0ms (1.7%)

Memory

-8.5MiB live, 109.0MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 beta (+.f64 (-.f64 alpha beta) #s(literal -3 binary64)) #s(literal -2 binary64)) (*.f64 alpha alpha))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta) alpha)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) beta) alpha)
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) beta) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 alpha (/.f64 beta alpha) alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)

Outputs

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

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

Calls

5 calls:

136.0ms	alpha
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
11.0ms	beta
10.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
94.9%	2	`alpha`
70.5%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes28.0ms (0.3%)

Memory

9.1MiB live, 47.9MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 beta (+.f64 (-.f64 alpha beta) #s(literal -3 binary64)) #s(literal -2 binary64)) (*.f64 alpha alpha))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta) alpha)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 beta alpha)) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) beta) alpha)
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) beta) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

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

Calls

3 calls:

9.0ms

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

9.0ms

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

8.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-8.2MiB live, 34.4MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))

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

Calls

3 calls:

8.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
99.1%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.1%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.1%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))

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

Calls

3 calls:

5.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
99.1%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.1%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.1%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes36.0ms (0.3%)

Memory

-19.2MiB live, 19.7MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))

Outputs

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

(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.7%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)

Outputs

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

(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.6%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory

-16.9MiB live, 22.0MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))

Outputs

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

(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))

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

Calls

4 calls:

22.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
4.0ms	alpha
4.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
69.8%	2	`alpha`
92.7%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))

Outputs
(/.f64 #s(literal 1 binary64) alpha)
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1 binary64)

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
92.6%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

-26.2MiB live, 12.6MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))

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

Calls

3 calls:

12.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
92.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))

Outputs
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)

Calls

5 calls:

3.0ms	beta
3.0ms	alpha
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
51.8%	2	`alpha`
68.6%	2	`beta`
68.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
68.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
68.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Calls

4 calls:

2.0ms	beta
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
68.2%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
68.2%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
68.2%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
68.2%	2	`beta`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-26.0MiB live, 15.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

5 calls:

15.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	beta
2.0ms	alpha
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

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

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

5 calls:

1.0ms	alpha
1.0ms	beta
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
3.7%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
3.7%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
3.7%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
3.7%	1	`alpha`
3.7%	1	`beta`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996525805553	-1.6728703053445102e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999997861	-0.9999996525805553

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996525805553	-1.6728703053445102e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996525805553	-1.6728703053445102e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0010035082832309007	0.9296039086472374
0.0ms	-0.9999996525805553	-1.6728703053445102e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0010035082832309007	0.9296039086472374
0.0ms	-0.9999996525805553	-1.6728703053445102e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0010035082832309007	0.9296039086472374
0.0ms	-0.9999996525805553	-1.6728703053445102e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0010035082832309007	0.9296039086472374
0.0ms	-0.9999996525805553	-1.6728703053445102e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0010035082832309007	0.9296039086472374
0.0ms	-0.9999996525805553	-1.6728703053445102e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch27.0ms (0.3%)

Memory

-21.7MiB live, 17.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.002009032647364713	26.410668285228784

Samples

15.0ms	75×	0	valid
4.0ms	37×	1	valid
3.0ms	16×	2	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

Precisions

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

ival-sub: 12.0ms (66.6% of total)

ival-div: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

adjust: 1.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0010035082832309007	0.9296039086472374

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify11.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	338
1	79	338
2	82	338
3	84	338
4	85	338

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 26 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 26 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

soundness1.3s (12.7%)

Memory

1.6MiB live, 567.5MiB allocated

Rules

9 888×	`accelerator-lowering-fma.f32`
9 888×	`accelerator-lowering-fma.f64`
9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
8 376×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	130
1	225	130
2	2053	130
0	9010	116
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	31	89
1	172	86
2	1360	83
0	8277	74
0	290	1879
1	832	1855
2	2101	1744
3	6842	1742
0	8134	1642
0	26	98
1	182	98
2	1568	98
0	8252	88
0	10	44
1	85	44
2	742	44
0	9043	43
0	528	3805
1	1612	3677
2	4796	3520
0	8196	3250

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

Compiler

Compiled 759 to 372 computations (51% saved)

preprocess121.0ms (1.2%)

Memory: 12.2MiB live, 90.0MiB allocated
Compiler: Compiled 710 to 152 computations (78.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.2s (11.6%)

preprocess553.0ms (5.3%)

explain176.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify140.0ms (1.4%)

localize49.0ms (0.5%)

series12.0ms (0.1%)

rewrite416.0ms (4%)

simplify550.0ms (5.3%)

eval121.0ms (1.2%)

prune78.0ms (0.8%)

simplify424.0ms (4.1%)

localize151.0ms (1.5%)

series28.0ms (0.3%)

rewrite511.0ms (4.9%)

simplify439.0ms (4.2%)

eval185.0ms (1.8%)

prune125.0ms (1.2%)

simplify513.0ms (5%)

localize115.0ms (1.1%)

series24.0ms (0.2%)

rewrite572.0ms (5.5%)

simplify489.0ms (4.7%)

eval132.0ms (1.3%)

prune135.0ms (1.3%)

simplify319.0ms (3.1%)

localize72.0ms (0.7%)

series16.0ms (0.2%)

rewrite375.0ms (3.6%)

simplify353.0ms (3.4%)

eval100.0ms (1%)

prune89.0ms (0.9%)

regimes181.0ms (1.7%)

regimes28.0ms (0.3%)

regimes21.0ms (0.2%)

regimes15.0ms (0.1%)

regimes36.0ms (0.3%)

regimes13.0ms (0.1%)

regimes34.0ms (0.3%)

regimes11.0ms (0.1%)

regimes19.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes21.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.3%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.3s (12.7%)

preprocess121.0ms (1.2%)

end0.0ms (0%)

Profiling