Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0%)

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 22 to 14 computations (36.4% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

sample1.5s (16.3%)

Results

676.0ms	5940×	0	valid
377.0ms	1951×	1	valid
104.0ms	365×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 640.0ms

ival-add: 180.0ms (28.1% of total)

ival-div: 176.0ms (27.5% of total)

ival-sub: 137.0ms (21.4% of total)

ival->: 70.0ms (10.9% of total)

backward-pass: 50.0ms (7.8% of total)

const: 18.0ms (2.8% of total)

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

Bogosity

preprocess243.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1988×	`sum3-define`
1844×	`sum5-define`
1648×	`fmsub-define`
1634×	`sum5-define`
1506×	`fmm-def`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	80
1	91	78
2	202	78
3	608	76
4	1764	76
5	5483	76
0	10	12
1	23	12
2	41	12
3	74	12
4	142	12
5	355	12
6	943	12
7	1782	11
8	3813	11
9	7625	11
0	8029	11

Stop Event

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

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

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)
(/ (+ (/ (- beta alpha) (sum3 beta alpha 2)) 1) 2)
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(+ (/ (+ beta alpha) (* 2 (sum3 beta 2 (neg alpha)))) 1/2)
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(+ (/ (+ beta alpha) (+ -4 (* 2 (- beta alpha)))) 1/2)
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (* 2 (sum3 alpha (neg beta) -2))))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (+ 4 (* 2 (- alpha beta)))))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)
(+ (/ (/ (- alpha beta) (sum3 beta alpha 2)) 2) 1/2)

explain118.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

43.0ms	378×	0	valid
23.0ms	110×	1	valid
7.0ms	24×	2	valid

Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions

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

ival-add: 10.0ms (34.8% of total)

ival-div: 9.0ms (31.3% of total)

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

backward-pass: 4.0ms (13.9% of total)

const: 1.0ms (3.5% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(/.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)

simplify159.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1844×	`sum5-define`
1648×	`fmsub-define`
1506×	`fmm-def`
1298×	`fma-lowering-fma.f32`
1298×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	23	44
2	41	44
3	74	44
4	142	44
5	355	44
6	943	44
7	1782	43
8	3813	43
9	7625	43
0	8029	43

Stop Event

1×	iter limit
1×	node limit

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

localize95.0ms (1.1%)

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	99.9%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	75.9%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

38.0ms	189×	0	valid
35.0ms	12×	2	valid
10.0ms	55×	1	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 18.0ms (65.4% of total)

ival-add: 5.0ms (18.2% of total)

ival-sub: 2.0ms (7.3% of total)

backward-pass: 2.0ms (7.3% of total)

const: 1.0ms (3.6% of total)

series12.0ms (0.1%)

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite371.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4144×	`/-lowering-/.f32`
4144×	`/-lowering-/.f64`
3890×	`-lowering-.f32`
3890×	`-lowering-.f64`
1972×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	86	40
2	776	40
0	8515	40

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 337

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

simplify315.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2810×	`+-lowering-+.f64`
2810×	`+-lowering-+.f32`
2660×	`-lowering-.f32`
2660×	`-lowering-.f64`
1798×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	2427
1	1518	2236
2	5628	2187
0	8142	2187

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

eval77.0ms (0.9%)

Compiler: Compiled 15555 to 2038 computations (86.9% saved)

prune69.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	470	11	481
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	470	12	482

Accuracy

100.0%

Counts

482 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.5%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
▶	48.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	35.7%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	73.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	25.7%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
	26.8%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
	28.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	45.6%	(/.f64 (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.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)))) #s(literal 2 binary64))
▶	75.9%	(/.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))))
▶	40.0%	#s(literal 1 binary64)

Compiler

Compiled 385 to 236 computations (38.7% saved)

simplify243.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 alpha #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	0	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	128	(/.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))))

Rules

2298×	`-lowering-.f32`
2298×	`-lowering-.f64`
2150×	`+-lowering-+.f64`
2150×	`+-lowering-+.f32`
1372×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	154
1	54	145
2	108	143
3	229	140
4	577	140
5	1450	140
6	4138	140
0	8234	140

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize138.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	70.8%	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(/.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))))
✓	accuracy	99.9%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	accuracy	75.9%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))

Results

46.0ms	69×	1	valid
44.0ms	175×	0	valid
9.0ms	12×	2	valid

Compiler

Compiled 159 to 24 computations (84.9% saved)

Precisions

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

ival-div: 19.0ms (37.6% of total)

ival-add: 14.0ms (27.7% of total)

ival-sub: 8.0ms (15.8% of total)

backward-pass: 6.0ms (11.9% of total)

ival-mult: 3.0ms (5.9% of total)

const: 1.0ms (2% of total)

series27.0ms (0.3%)

Counts

17 → 288

Calls

Call 1

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

Calls

72 calls:

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

rewrite557.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4656×	`-lowering-.f32`
4656×	`-lowering-.f64`
4026×	`/-lowering-/.f32`
4026×	`/-lowering-/.f64`
1786×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	129
1	204	121
2	1938	120
0	8910	120

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 524

Calls

Call 1

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

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

simplify422.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

4892×	`+-lowering-+.f64`
4892×	`+-lowering-+.f32`
4620×	`-lowering-.f32`
4620×	`-lowering-.f64`
1792×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	829	5242
1	2895	4853
0	8414	4853

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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

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

eval125.0ms (1.4%)

Compiler: Compiled 21323 to 2998 computations (85.9% saved)

prune170.0ms (1.9%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	833	13	846
Fresh	4	2	6
Picked	2	3	5
Done	1	0	1
Total	840	18	858

Accuracy

100.0%

Counts

858 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.8%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
✓	48.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
	73.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	22.7%	(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
✓	73.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	21.5%	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
▶	32.5%	(/.f64 (+.f64 beta (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64))))) beta)
	28.4%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	48.3%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
	28.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)))
	39.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
▶	85.6%	(/.f64 #s(literal 1 binary64) (.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))
	23.1%	(/.f64 #s(literal 1 binary64) alpha)
	32.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
▶	43.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
	46.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	40.0%	#s(literal 1 binary64)
▶	47.7%	#s(literal 1/2 binary64)

Compiler

Compiled 407 to 273 computations (32.9% saved)

simplify216.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	256	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	256	(+.f64 beta (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64)))))
✓	cost-diff	256	(/.f64 (+.f64 beta (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64))))) beta)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) alpha)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
✓	cost-diff	0	(*.f64 beta #s(literal 1/4 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
✓	cost-diff	384	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))
✓	cost-diff	384	(.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))

Rules

5632×	`-lowering-.f32`
5632×	`-lowering-.f64`
2110×	`/-lowering-/.f32`
2110×	`/-lowering-/.f64`
1740×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	274
1	82	246
2	259	239
3	1169	217
0	8522	217

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize155.0ms (1.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 beta (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64)))))
✓	accuracy	100.0%	(/.f64 (+.f64 beta (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64))))) beta)
✓	accuracy	99.7%	(.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) alpha)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 beta #s(literal 1/4 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))
✓	accuracy	99.7%	(.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))
✓	accuracy	86.0%	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))

Results

99.0ms

256×

valid

Compiler

Compiled 278 to 34 computations (87.8% saved)

Precisions

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

ival-mult: 19.0ms (43.2% of total)

ival-div: 12.0ms (27.3% of total)

ival-add: 8.0ms (18.2% of total)

ival-sub: 4.0ms (9.1% of total)

const: 1.0ms (2.3% of total)

backward-pass: 0.0ms (0% of total)

series70.0ms (0.8%)

Counts

16 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
44.0ms	beta	@	inf	(/ 1 (* alpha (- (/ 2 (+ 2 (* 2 beta))) (* (/ 2 alpha) (/ (* (+ 2 beta) (- (- -2 beta) beta)) (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))))))
5.0ms	beta	@	0	(/ (* (+ 2 beta) (- (- -2 beta) beta)) (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))
2.0ms	beta	@	inf	(+ 1/2 (* beta 1/4))
1.0ms	beta	@	0	(/ 1 (* alpha (- (/ 2 (+ 2 (* 2 beta))) (* (/ 2 alpha) (/ (* (+ 2 beta) (- (- -2 beta) beta)) (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))))))
1.0ms	alpha	@	0	(* alpha (- (/ 2 (+ 2 (* 2 beta))) (* (/ 2 alpha) (/ (* (+ 2 beta) (- (- -2 beta) beta)) (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))))

rewrite612.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

6266×	`-lowering-.f32`
6266×	`-lowering-.f64`
3788×	`/-lowering-/.f32`
3788×	`/-lowering-/.f64`
2502×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	195
1	231	171
2	2442	160
0	10777	160

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 712

Calls

Call 1

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

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

simplify270.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2714×	`-lowering-.f32`
2714×	`-lowering-.f64`
2106×	`+-lowering-+.f64`
2106×	`+-lowering-+.f32`
1824×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	2984
1	1330	2506
2	4909	2485
0	8251	2485

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval392.0ms (4.4%)

Compiler: Compiled 40828 to 3893 computations (90.5% saved)

prune132.0ms (1.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	968	8	976
Fresh	7	3	10
Picked	3	2	5
Done	1	2	3
Total	979	15	994

Accuracy

100.0%

Counts

994 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	73.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	35.8%	(/.f64 (+.f64 beta (-.f64 #s(literal 0 binary64) alpha)) beta)
▶	73.6%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))
▶	28.4%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	32.7%	(/.f64 (+.f64 beta #s(literal -1 binary64)) beta)
	38.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (+.f64 alpha #s(literal 1 binary64))) beta)))
▶	67.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
	39.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
▶	23.1%	(/.f64 #s(literal 1 binary64) alpha)
	32.5%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
✓	43.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
	46.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	40.0%	#s(literal 1 binary64)
✓	47.7%	#s(literal 1/2 binary64)

Compiler

Compiled 226 to 160 computations (29.2% saved)

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1356×	`sum3-define`
1282×	`fnmadd-define`
790×	`fma-define`
752×	`sum5-define`
746×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	27	54
2	42	54
3	88	54
4	141	54
5	221	54
6	429	54
7	874	54
8	1498	54
9	2114	54
10	2942	54
11	4083	54
12	4756	54
13	4782	54
14	4800	54
15	4820	54
16	4828	54
0	4828	54

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ beta 1) (+ 2 beta))
(+ beta 1)
beta
1
(+ 2 beta)
2
(/ 1 alpha)
1
alpha
(/ 1 (+ 2 alpha))
1
(+ 2 alpha)
2
alpha
(/ (+ beta 1) alpha)
(+ beta 1)
beta
1
alpha
(/ (+ beta (- 0 alpha)) beta)
(+ beta (- 0 alpha))
beta
(- 0 alpha)
0
alpha

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

localize61.0ms (0.7%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) alpha)
✓	accuracy	100.0%	(+.f64 beta (-.f64 #s(literal 0 binary64) alpha))
✓	accuracy	100.0%	(/.f64 (+.f64 beta (-.f64 #s(literal 0 binary64) alpha)) beta)
✓	accuracy	100.0%	(+.f64 beta #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) alpha)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 beta #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))

Results

41.0ms

256×

valid

Compiler

Compiled 64 to 16 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 10.0ms (57.9% of total)

ival-add: 5.0ms (28.9% of total)

ival-sub: 1.0ms (5.8% of total)

const: 1.0ms (5.8% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

10 → 156

Calls

Call 1

Inputs
#<alt (/ (+ beta 1) (+ 2 beta))>
#<alt (+ beta 1)>
#<alt (+ 2 beta)>
#<alt (/ 1 alpha)>
#<alt (/ 1 (+ 2 alpha))>
#<alt (+ 2 alpha)>
#<alt (/ (+ beta 1) alpha)>
#<alt (/ (+ beta (- 0 alpha)) beta)>
#<alt (+ beta (- 0 alpha))>
#<alt (- 0 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>
#<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 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)>
#<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 1/2>
#<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)>
#<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 (/ alpha beta))>
#<alt (/ (+ beta (* -1 alpha)) beta)>
#<alt (/ (+ beta (* -1 alpha)) beta)>
#<alt (/ (+ beta (* -1 alpha)) beta)>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 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 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)>

Calls

39 calls:

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

rewrite239.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3536×	`/-lowering-/.f32`
3536×	`/-lowering-/.f64`
3294×	`-lowering-.f32`
3294×	`-lowering-.f64`
1620×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	115	37
2	978	36
0	9517	36

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 693

Calls

Call 1

Inputs
(/ (+ beta 1) (+ 2 beta))
(+ beta 1)
(+ 2 beta)
(/ 1 alpha)
(/ 1 (+ 2 alpha))
(+ 2 alpha)
(/ (+ beta 1) alpha)
(/ (+ beta (- 0 alpha)) beta)
(+ beta (- 0 alpha))
(- 0 alpha)

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

simplify219.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2620×	`-lowering-.f32`
2620×	`-lowering-.f64`
1686×	`sum5-define`
1560×	`fma-define`
1554×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	637
1	413	620
2	1013	612
3	2765	587
4	7924	587
0	8755	587

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval107.0ms (1.2%)

Compiler: Compiled 12991 to 1833 computations (85.9% saved)

prune116.0ms (1.3%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	910	4	914
Fresh	2	4	6
Picked	1	4	5
Done	0	4	4
Total	913	16	929

Accuracy

100.0%

Counts

929 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.8%	(/.f64 (-.f64 beta alpha) beta)
	73.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	73.6%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	73.6%	(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))
✓	28.4%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
	32.7%	(/.f64 (+.f64 beta #s(literal -1 binary64)) beta)
	9.3%	(/.f64 beta alpha)
✓	67.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
	39.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
✓	23.1%	(/.f64 #s(literal 1 binary64) alpha)
	35.8%	(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
	28.4%	(+.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 #s(literal 1 binary64) alpha) beta))
✓	43.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
	46.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	40.0%	#s(literal 1 binary64)
✓	47.7%	#s(literal 1/2 binary64)

Compiler

Compiled 525 to 230 computations (56.2% saved)

regimes52.0ms (0.6%)

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Results

Accuracy	Segments	Branch
95.2%	2	`alpha`
99.8%	2	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes36.0ms (0.4%)

Counts

32 → 2

Calls

Call 1

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

Outputs
(/.f64 (+.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

4 calls:

9.0ms	beta
9.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.3%	2	`beta`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

beta

Results

Accuracy	Segments	Branch
98.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	beta
6.0ms	alpha

Results

Accuracy	Segments	Branch
93.6%	2	`alpha`
93.3%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	alpha
5.0ms	beta

Results

Accuracy	Segments	Branch
92.5%	2	`beta`
72.7%	2	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

beta

Results

Accuracy	Segments	Branch
73.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

beta

Results

Accuracy	Segments	Branch
72.9%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	alpha
2.0ms	beta

Results

Accuracy	Segments	Branch
66.3%	2	`alpha`
72.4%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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	alpha
1.0ms	beta

Results

Accuracy	Segments	Branch
47.7%	1	`alpha`
47.7%	1	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999936735756	-0.9109150171755789

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999991651473	-0.999999936735756

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.441095749509649	59428283619630.16

Results

8.0ms	48×	1	valid
7.0ms	112×	0	valid

Compiler

Compiled 220 to 164 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (34.1% of total)

ival-add: 3.0ms (34.1% of total)

ival-sub: 1.0ms (11.4% of total)

backward-pass: 1.0ms (11.4% of total)

const: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.3650809830357263	20.450472981982042

Results

7.0ms

112×

valid

Compiler

Compiled 146 to 112 computations (23.3% saved)

Precisions

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

ival-add: 2.0ms (49.1% of total)

ival-sub: 1.0ms (24.6% of total)

ival-div: 1.0ms (24.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.441095749509649	59428283619630.16

Results

8.0ms	52×	1	valid
7.0ms	108×	0	valid

Compiler

Compiled 180 to 154 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (42.5% of total)

ival-add: 3.0ms (31.9% of total)

ival-sub: 1.0ms (10.6% of total)

backward-pass: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.441095749509649	59428283619630.16

Results

8.0ms	113×	0	valid
7.0ms	47×	1	valid

Compiler

Compiled 180 to 154 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (43.9% of total)

ival-add: 3.0ms (32.9% of total)

ival-sub: 1.0ms (11% of total)

backward-pass: 1.0ms (11% of total)

const: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.441095749509649	59428283619630.16

Results

7.0ms	51×	1	valid
7.0ms	109×	0	valid

Compiler

Compiled 140 to 124 computations (11.4% saved)

Precisions

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

ival-div: 3.0ms (35.9% of total)

ival-add: 3.0ms (35.9% of total)

ival-sub: 1.0ms (12% of total)

backward-pass: 1.0ms (12% of total)

const: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.441095749509649	59428283619630.16

Results

7.0ms	111×	0	valid
7.0ms	49×	1	valid

Compiler

Compiled 100 to 94 computations (6% saved)

Precisions

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

ival-div: 3.0ms (36.4% of total)

ival-add: 3.0ms (36.4% of total)

ival-sub: 1.0ms (12.1% of total)

backward-pass: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative_binary64`
10×	`*-commutative_binary64`
10×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	153
1	80	153
2	87	153
3	91	153
4	93	153

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4278419646001971/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) 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 -9007198804381029/9007199254740992 binary64)) (/.f64 (+.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 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(if (<=.f64 alpha #s(literal 20 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 beta #s(literal 53/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 4728779608739021/2251799813685248 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 -4278419646001971/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) 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 -4278419646001971/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) 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 -9007198804381029/9007199254740992 binary64)) (/.f64 (+.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 -9007198804381029/9007199254740992 binary64)) (/.f64 (+.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 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(if (<=.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(if (<=.f64 alpha #s(literal 20 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 20 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 53/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 53/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 4728779608739021/2251799813685248 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness1.3s (15%)

Rules

4892×	`+-lowering-+.f64`
4892×	`+-lowering-+.f32`
4620×	`-lowering-.f32`
4620×	`-lowering-.f64`
4144×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2427
1	1518	2236
2	5628	2187
0	8142	2187
0	829	5242
1	2895	4853
0	8414	4853
0	10	40
1	86	40
2	776	40
0	8515	40
0	377	2984
1	1330	2506
2	4909	2485
0	8251	2485

Stop Event

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

Compiler

Compiled 379 to 222 computations (41.4% saved)

preprocess57.0ms (0.6%)

Compiler: Compiled 340 to 132 computations (61.2% saved)

analyze2.0ms (0%)

sample1.5s (16.3%)

preprocess243.0ms (2.7%)

explain118.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify159.0ms (1.8%)

localize95.0ms (1.1%)

series12.0ms (0.1%)

rewrite371.0ms (4.1%)

simplify315.0ms (3.5%)

eval77.0ms (0.9%)

prune69.0ms (0.8%)

simplify243.0ms (2.7%)

localize138.0ms (1.5%)

series27.0ms (0.3%)

rewrite557.0ms (6.2%)

simplify422.0ms (4.7%)

eval125.0ms (1.4%)

prune170.0ms (1.9%)

simplify216.0ms (2.4%)

localize155.0ms (1.7%)

series70.0ms (0.8%)

rewrite612.0ms (6.8%)

simplify270.0ms (3%)

eval392.0ms (4.4%)

prune132.0ms (1.5%)

simplify107.0ms (1.2%)

localize61.0ms (0.7%)

series5.0ms (0.1%)

rewrite239.0ms (2.7%)

simplify219.0ms (2.4%)

eval107.0ms (1.2%)

prune116.0ms (1.3%)

regimes52.0ms (0.6%)

regimes36.0ms (0.4%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.3%)

bsearch13.0ms (0.1%)

bsearch22.0ms (0.3%)

bsearch23.0ms (0.3%)

bsearch23.0ms (0.3%)

bsearch23.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.3s (15%)

preprocess57.0ms (0.6%)

end0.0ms (0%)

Profiling