Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.3s (12.4%)

Memory

37.6MiB live, 2 196.6MiB allocated

Samples

584.0ms	6 059×	0	valid
261.0ms	1 502×	1	valid
159.0ms	695×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 643.0ms

ival-div: 197.0ms (30.6% of total)

ival-add: 172.0ms (26.7% of total)

ival-sub: 136.0ms (21.1% of total)

adjust: 59.0ms (9.2% of total)

ival->: 49.0ms (7.6% of total)

exact: 16.0ms (2.5% of total)

ival-and: 11.0ms (1.7% of total)

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

Bogosity

preprocess548.0ms (5.3%)

Memory

-42.5MiB live, 141.6MiB 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)))))

explain151.0ms (1.5%)

Memory

24.4MiB live, 253.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
73	1	(502.0240345140593 5.644745035384746e-188)	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	0	-	-	`beta`
0	0	-	-	`(+.f64 alpha beta)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	0	-	-	`alpha`
0	0	-	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	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	74	0

Confusion

	Predicted +	Predicted -
+	73	0
-	1	182

Precision

0.9864864864864865

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	1	0	182

Precision?

0.9864864864864865

Recall?

1.0

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms	372×	0	valid
12.0ms	96×	1	valid
9.0ms	44×	2	valid

Compiler

Compiled 130 to 44 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 10.0ms (37.4% of total)

ival-div: 9.0ms (33.6% of total)

ival-sub: 4.0ms (15% of total)

adjust: 3.0ms (11.2% of total)

exact: 1.0ms (3.7% 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

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(/.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)

simplify144.0ms (1.4%)

Memory

0.7MiB live, 157.4MiB 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)

localize40.0ms (0.4%)

Memory

5.8MiB live, 84.2MiB 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	73.8%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

15.0ms	186×	0	valid
8.0ms	48×	1	valid
6.0ms	22×	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 (31.7% of total)

ival-add: 4.0ms (31.7% of total)

ival-sub: 2.0ms (15.9% of total)

adjust: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-1.0MiB live, 38.1MiB 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
2.0ms	alpha	@	inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	-inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	beta	@	0	(/ (+ (/ (- 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)

rewrite423.0ms (4.1%)

Memory

-46.4MiB live, 743.9MiB 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))
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simplify500.0ms (4.9%)

Memory

34.8MiB live, 822.6MiB 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)

eval84.0ms (0.8%)

Memory: 9.5MiB live, 194.9MiB allocated
Compiler: Compiled 18 403 to 2 325 computations (87.4% saved)

prune128.0ms (1.2%)

Memory

-20.7MiB live, 221.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	590	12	602
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	591	12	603

Accuracy

100.0%

Counts

603 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.1%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
▶	71.5%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
	48.2%	(/.f64 (fma.f64 (/.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	58.3%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	73.4%	(/.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))
	42.1%	(/.f64 (fma.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	26.2%	(/.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)
	29.1%	(/.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)
	29.3%	(/.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)
	30.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	48.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
▶	38.2%	#s(literal 1 binary64)

Compiler

Compiled 498 to 288 computations (42.2% saved)

simplify670.0ms (6.5%)

Memory

21.6MiB live, 1 208.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

26 142×	`accelerator-lowering-fma.f32`
26 142×	`accelerator-lowering-fma.f64`
4 318×	`+-lowering-+.f64`
4 318×	`+-lowering-+.f32`
2 940×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	185
1	80	181
2	199	178
3	561	177
4	1805	177
5	5477	177
0	8077	168

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize131.0ms (1.3%)

Memory

-22.1MiB live, 284.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 beta alpha)
✓	accuracy	100.0%	(+.f64 alpha #s(literal -2 binary64))
✓	accuracy	73.5%	(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))
✓	accuracy	67.2%	(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))
✓	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 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	73.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))

Samples

41.0ms	186×	0	valid
21.0ms	17×	3	valid
17.0ms	32×	2	valid
8.0ms	21×	1	valid

Compiler

Compiled 174 to 34 computations (80.5% saved)

Precisions

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

ival-add: 18.0ms (28.3% of total)

adjust: 15.0ms (23.6% of total)

ival-div: 14.0ms (22% of total)

ival-mult: 14.0ms (22% of total)

ival-sub: 2.0ms (3.1% of total)

exact: 1.0ms (1.6% of total)

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

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

series37.0ms (0.4%)

Memory

10.2MiB live, 84.4MiB allocated

Counts

17 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	inf	(+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1)
3.0ms	beta	@	-inf	(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta (+ alpha -2))) 1) 2)
2.0ms	beta	@	0	(/ (- beta alpha) (+ (* (+ beta alpha) (+ beta alpha)) -4))
2.0ms	beta	@	0	(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta (+ alpha -2))) 1) 2)
2.0ms	alpha	@	0	(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta (+ alpha -2))) 1) 2)

rewrite394.0ms (3.8%)

Memory

-11.4MiB live, 588.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 680×	`-lowering-.f32`
4 680×	`-lowering-.f64`
4 202×	`/-lowering-/.f32`
4 202×	`/-lowering-/.f64`
3 232×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	143
1	257	139
2	2488	139
0	8301	132

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 419

Calls

Call 1

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

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

simplify477.0ms (4.6%)

Memory

10.1MiB live, 723.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 000×	`accelerator-lowering-fma.f32`
6 000×	`accelerator-lowering-fma.f64`
5 752×	`-lowering-.f32`
5 752×	`-lowering-.f64`
5 430×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1104	8045
1	3568	7493
0	8204	6956

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

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

eval161.0ms (1.6%)

Memory: 8.4MiB live, 235.6MiB allocated
Compiler: Compiled 25 163 to 2 891 computations (88.5% saved)

prune207.0ms (2%)

Memory

-10.1MiB live, 241.4MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	848	9	857
Fresh	0	7	7
Picked	3	2	5
Done	0	0	0
Total	851	18	869

Accuracy

100.0%

Counts

869 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(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))
▶	71.5%	(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))
	42.6%	(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))
	41.6%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	43.0%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	71.5%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
	48.2%	(/.f64 (fma.f64 (/.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	46.3%	(/.f64 (fma.f64 (/.f64 alpha (-.f64 #s(literal 0 binary64) (fma.f64 alpha alpha #s(literal -4 binary64)))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	45.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	42.1%	(/.f64 (fma.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	26.2%	(/.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)
	29.1%	(/.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)
	29.3%	(/.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)
▶	30.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	31.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
	48.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
✓	38.2%	#s(literal 1 binary64)
▶	46.8%	#s(literal 1/2 binary64)

Compiler

Compiled 581 to 358 computations (38.4% saved)

simplify574.0ms (5.6%)

Memory

8.4MiB live, 731.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))
✓	cost-diff	0	(.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))
✓	cost-diff	384	(/.f64 (fma.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	2624	(fma.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 alpha #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	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

13 674×	`accelerator-lowering-fma.f32`
13 674×	`accelerator-lowering-fma.f64`
3 416×	`-lowering-.f32`
3 416×	`-lowering-.f64`
2 992×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	222
1	73	212
2	198	212
3	853	172
4	4514	172
5	6753	172
0	8429	167

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

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

localize136.0ms (1.3%)

Memory

-0.2MiB live, 157.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
✓	accuracy	43.5%	(fma.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 beta alpha)
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	73.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	accuracy	100.0%	(+.f64 beta #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 beta #s(literal 1/2 binary64))
✓	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 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))

Samples

41.0ms	44×	1	valid
36.0ms	186×	0	valid
13.0ms	24×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 211 to 31 computations (85.3% saved)

Precisions

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

ival-mult: 14.0ms (30.6% of total)

ival-div: 13.0ms (28.4% of total)

ival-add: 13.0ms (28.4% of total)

adjust: 3.0ms (6.6% of total)

ival-sub: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.4%)

Memory

-1.2MiB live, 36.9MiB allocated

Counts

17 → 324

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

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

Calls

81 calls:

Time	Variable		Point	Expression
21.0ms	beta	@	0	(/ 1 (* (+ (* beta beta) (* alpha (+ beta alpha))) (+ beta (+ alpha 2))))
2.0ms	beta	@	-inf	(/ 1 (+ beta 2))
1.0ms	alpha	@	0	(/ 1 (* (+ (* beta beta) (* alpha (+ beta alpha))) (+ beta (+ alpha 2))))
1.0ms	beta	@	-inf	(/ (+ (* (/ 1 (+ alpha 2)) (- beta alpha)) 1) 2)
1.0ms	beta	@	0	(/ (+ (* (/ 1 (+ alpha 2)) (- beta alpha)) 1) 2)

rewrite619.0ms (6%)

Memory

15.4MiB live, 416.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 430×	`/-lowering-/.f32`
5 430×	`/-lowering-/.f64`
4 888×	`accelerator-lowering-fma.f32`
4 888×	`accelerator-lowering-fma.f64`
4 820×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	181
1	215	131
2	2069	131
0	9443	127

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 869

Calls

Call 1

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

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

simplify640.0ms (6.2%)

Memory

12.5MiB live, 805.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 330×	`accelerator-lowering-fma.f32`
7 330×	`accelerator-lowering-fma.f64`
5 880×	`-lowering-.f32`
5 880×	`-lowering-.f64`
5 868×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1076	5695
1	3651	5491
0	8504	5209

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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

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

eval214.0ms (2.1%)

Memory: -16.2MiB live, 609.8MiB allocated
Compiler: Compiled 62 594 to 5 293 computations (91.5% saved)

prune184.0ms (1.8%)

Memory

-3.0MiB live, 616.8MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1 390	13	1 403
Fresh	6	5	11
Picked	2	3	5
Done	1	1	2
Total	1 399	22	1 421

Accuracy

100.0%

Counts

1 421 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(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))
▶	71.5%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64))
	42.6%	(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))
	41.6%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
▶	43.0%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
	37.8%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 beta alpha) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 beta alpha) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	45.5%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	42.1%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 beta alpha) (.f64 beta beta))) (fma.f64 beta (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha (+.f64 beta alpha) (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (*.f64 beta beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	45.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	23.3%	(/.f64 (fma.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	42.5%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	25.6%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 8 binary64)) (*.f64 alpha alpha)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha)
	24.6%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) alpha) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) alpha)
	25.0%	(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 beta #s(literal 4 binary64) #s(literal 8 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 8 binary64) #s(literal 16 binary64)) alpha))) (-.f64 #s(literal 0 binary64) alpha))) alpha)) (-.f64 #s(literal 0 binary64) alpha))
✓	30.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	9.3%	(/.f64 beta alpha)
	25.1%	(/.f64 #s(literal 1 binary64) alpha)
▶	31.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
▶	30.4%	(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))
	48.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
✓	38.2%	#s(literal 1 binary64)
✓	46.8%	#s(literal 1/2 binary64)

Compiler

Compiled 655 to 392 computations (40.2% saved)

simplify603.0ms (5.9%)

Memory

0.4MiB live, 1 509.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

27 030×	`accelerator-lowering-fma.f32`
27 030×	`accelerator-lowering-fma.f64`
5 142×	`-lowering-.f32`
5 142×	`-lowering-.f64`
3 864×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	165
1	70	161
2	160	161
3	578	161
4	3226	161
5	6875	161
0	9216	153

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

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

localize106.0ms (1%)

Memory

0.3MiB live, 240.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))
✓	accuracy	99.8%	(.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha)))
✓	accuracy	54.8%	(fma.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 beta alpha)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))
✓	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 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 beta #s(literal 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 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64)))

Samples

36.0ms	186×	0	valid
17.0ms	40×	1	valid
17.0ms	29×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 159 to 32 computations (79.9% saved)

Precisions

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

ival-mult: 15.0ms (29.9% of total)

ival-add: 15.0ms (29.9% of total)

ival-div: 13.0ms (25.9% of total)

adjust: 3.0ms (6% of total)

ival-sub: 3.0ms (6% of total)

exact: 1.0ms (2% of total)

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

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

series18.0ms (0.2%)

Memory

-5.7MiB live, 32.9MiB allocated

Counts

15 → 252

Calls

Call 1

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

Calls

63 calls:

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

rewrite343.0ms (3.3%)

Memory

20.5MiB live, 505.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 134×	`/-lowering-/.f32`
5 134×	`/-lowering-/.f64`
3 838×	`-lowering-.f32`
3 838×	`-lowering-.f64`
2 714×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	129
1	218	109
2	2032	109
0	8456	104

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 510

Calls

Call 1

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

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

simplify284.0ms (2.8%)

Memory

5.4MiB live, 436.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 732×	`accelerator-lowering-fma.f32`
6 732×	`accelerator-lowering-fma.f64`
3 720×	`-lowering-.f32`
3 720×	`-lowering-.f64`
2 638×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	2938
1	1642	2280
2	6030	2190
0	8242	2103

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

eval99.0ms (1%)

Memory: -2.1MiB live, 154.8MiB allocated
Compiler: Compiled 19 817 to 2 033 computations (89.7% saved)

prune91.0ms (0.9%)

Memory

9.8MiB live, 170.3MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	753	9	762
Fresh	8	5	13
Picked	1	4	5
Done	1	3	4
Total	763	21	784

Accuracy

100.0%

Counts

784 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.6%	(fma.f64 (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
	41.6%	(fma.f64 (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
	56.3%	(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))
	48.0%	(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓	71.5%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64))
✓	43.0%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
	24.4%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 beta alpha) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 beta alpha) (.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	45.5%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	42.1%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 beta alpha) (.f64 beta beta))) (fma.f64 beta (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha (+.f64 beta alpha) (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (*.f64 beta beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	26.1%	(/.f64 (fma.f64 (.f64 (fma.f64 alpha alpha #s(literal 0 binary64)) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	24.9%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 beta (fma.f64 beta beta #s(literal 0 binary64)) #s(literal 8 binary64)) alpha) #s(literal -4 binary64)) alpha) #s(literal 1 binary64)) alpha)
	23.8%	(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 beta (fma.f64 beta beta #s(literal 0 binary64)) #s(literal 8 binary64))) (/.f64 (fma.f64 beta (fma.f64 beta beta #s(literal 0 binary64)) #s(literal 8 binary64)) alpha)) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
	24.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
✓	30.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	9.3%	(/.f64 beta alpha)
	25.1%	(/.f64 #s(literal 1 binary64) alpha)
✓	31.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
✓	30.4%	(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))
	4.5%	(*.f64 #s(literal 1/4 binary64) beta)
✓	38.2%	#s(literal 1 binary64)
✓	46.8%	#s(literal 1/2 binary64)

Compiler

Compiled 986 to 375 computations (62% saved)

regimes66.0ms (0.6%)

Memory

-14.2MiB live, 99.3MiB allocated

Counts

44 → 2

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	alpha
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
12.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
12.0ms	beta
10.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
94.2%	2	`alpha`
73.8%	1	`beta`
99.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes31.0ms (0.3%)

Memory

-4.1MiB live, 39.0MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

15.0ms

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

7.0ms

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

7.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

alpha

Results

Accuracy	Segments	Branch
92.0%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

alpha

Results

Accuracy	Segments	Branch
92.0%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-22.1MiB live, 17.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	alpha
4.0ms	beta

Results

Accuracy	Segments	Branch
71.0%	2	`beta`
72.3%	2	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

2 calls:

3.0ms	beta
3.0ms	alpha

Results

Accuracy	Segments	Branch
70.9%	2	`beta`
66.8%	2	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
70.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

-33.1MiB live, 6.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
70.5%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) beta)

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

Calls

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
70.1%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

1.0ms	beta
1.0ms	alpha

Results

Accuracy	Segments	Branch
46.8%	1	`alpha`
46.8%	1	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999997231529082	-0.9999920478291822

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999997231529082

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch18.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.662286439538752e+40	8.173716002531683e+43

Samples

9.0ms	79×	1	valid
3.0ms	49×	0	valid

Compiler

Compiled 186 to 135 computations (27.4% saved)

Precisions

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

ival-add: 3.0ms (38.6% of total)

ival-div: 2.0ms (25.7% of total)

adjust: 1.0ms (12.9% of total)

ival-sub: 1.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

-13.6MiB live, 25.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.662286439538752e+40	8.173716002531683e+43

Samples

12.0ms	90×	1	valid
2.0ms	38×	0	valid

Compiler

Compiled 170 to 127 computations (25.3% saved)

Precisions

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

ival-div: 5.0ms (48.1% of total)

ival-add: 3.0ms (28.9% of total)

adjust: 1.0ms (9.6% of total)

ival-sub: 1.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	72.3874578148794	502.0240345140593

Samples

5.0ms

96×

valid

Compiler

Compiled 90 to 75 computations (16.7% saved)

Precisions

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

ival-sub: 1.0ms (33% of total)

ival-div: 1.0ms (33% of total)

ival-add: 1.0ms (33% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

-14.9MiB live, 27.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.023219697362362752	1616.7079918587879

Samples

6.0ms	102×	0	valid
5.0ms	24×	1	valid
3.0ms	18×	2	valid

Compiler

Compiled 180 to 141 computations (21.7% saved)

Precisions

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

ival-div: 5.0ms (51.2% of total)

ival-add: 3.0ms (30.7% of total)

adjust: 1.0ms (10.2% of total)

ival-sub: 1.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Memory

-13.2MiB live, 23.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.023219697362362752	1616.7079918587879

Samples

8.0ms	87×	0	valid
4.0ms	38×	1	valid
3.0ms	19×	2	valid

Compiler

Compiled 144 to 123 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 6.0ms (54.1% of total)

ival-add: 3.0ms (27.1% of total)

adjust: 1.0ms (9% of total)

ival-sub: 1.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.023219697362362752	1616.7079918587879

Samples

5.0ms	97×	0	valid
4.0ms	24×	2	valid
2.0ms	23×	1	valid

Compiler

Compiled 117 to 105 computations (10.3% saved)

Precisions

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

ival-div: 3.0ms (38.3% of total)

ival-add: 3.0ms (38.3% of total)

adjust: 1.0ms (12.8% of total)

ival-sub: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Memory

-13.9MiB live, 23.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.023219697362362752	1616.7079918587879

Samples

5.0ms	86×	0	valid
4.0ms	42×	1	valid
3.0ms	16×	2	valid

Compiler

Compiled 90 to 87 computations (3.3% saved)

Precisions

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

ival-div: 3.0ms (38.2% of total)

ival-add: 3.0ms (38.2% of total)

adjust: 1.0ms (12.7% of total)

ival-sub: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	164
1	66	164
2	76	164
3	84	164
4	92	164
5	93	164

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 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 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 169999999999999999119733385185916463611904 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha #s(literal 95000000000000003490430179863849422815232 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 75 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 beta #s(literal 2 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 beta #s(literal 2 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 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 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 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 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 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #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 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 169999999999999999119733385185916463611904 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha #s(literal 169999999999999999119733385185916463611904 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 binary64) alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha #s(literal 95000000000000003490430179863849422815232 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 95000000000000003490430179863849422815232 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 75 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 75 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 2 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 beta #s(literal 2 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 beta #s(literal 2 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 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness589.0ms (5.7%)

Memory

-13.9MiB live, 456.8MiB allocated

Rules

9 688×	`accelerator-lowering-fma.f32`
9 688×	`accelerator-lowering-fma.f64`
7 330×	`accelerator-lowering-fma.f32`
7 330×	`accelerator-lowering-fma.f64`
6 000×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1104	8045
1	3568	7493
0	8204	6956
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	1076	5695
1	3651	5491
0	8504	5209

Stop Event

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

Compiler

Compiled 353 to 191 computations (45.9% saved)

preprocess77.0ms (0.7%)

Memory: 20.4MiB live, 132.8MiB allocated
Compiler: Compiled 362 to 124 computations (65.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.3s (12.4%)

preprocess548.0ms (5.3%)

explain151.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify144.0ms (1.4%)

localize40.0ms (0.4%)

series13.0ms (0.1%)

rewrite423.0ms (4.1%)

simplify500.0ms (4.9%)

eval84.0ms (0.8%)

prune128.0ms (1.2%)

simplify670.0ms (6.5%)

localize131.0ms (1.3%)

series37.0ms (0.4%)

rewrite394.0ms (3.8%)

simplify477.0ms (4.6%)

eval161.0ms (1.6%)

prune207.0ms (2%)

simplify574.0ms (5.6%)

localize136.0ms (1.3%)

series45.0ms (0.4%)

rewrite619.0ms (6%)

simplify640.0ms (6.2%)

eval214.0ms (2.1%)

prune184.0ms (1.8%)

simplify603.0ms (5.9%)

localize106.0ms (1%)

series18.0ms (0.2%)

rewrite343.0ms (3.3%)

simplify284.0ms (2.8%)

eval99.0ms (1%)

prune91.0ms (0.9%)

regimes66.0ms (0.6%)

regimes31.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes14.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch21.0ms (0.2%)

simplify10.0ms (0.1%)

soundness589.0ms (5.7%)

preprocess77.0ms (0.7%)

end0.0ms (0%)

Profiling