Octave 3.8, jcobi/1

Time bar (total: 8.9s)

analyze3.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 (16.7%)

Results
606.0ms5983×0valid
472.0ms1904×1valid
98.0ms369×2valid
Precisions
Click to see histograms. Total time spent on operations: 704.0ms
ival-add: 233.0ms (33.1% of total)
ival-div: 180.0ms (25.6% of total)
ival->: 102.0ms (14.5% of total)
ival-sub: 89.0ms (12.6% of total)
backward-pass: 64.0ms (9.1% of total)
const: 18.0ms (2.6% of total)
ival-and: 18.0ms (2.6% of total)
Bogosity

preprocess229.0ms (2.6%)

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)

IterNodesCost
03280
19178
220278
360876
4176476
5548376
01012
12312
24112
37412
414212
535512
694312
7178211
8381311
9762511
0802911
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)

explain142.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
780-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-(-.f64 beta alpha)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
00-0-alpha
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 alpha beta)
00-0-beta
Results
43.0ms358×0valid
40.0ms124×1valid
13.0ms30×2valid
Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 11.0ms (33% of total)
ival-div: 10.0ms (30% of total)
ival-sub: 6.0ms (18% of total)
backward-pass: 6.0ms (18% of total)
const: 1.0ms (3% 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
StatusAccuracyProgram
▶71.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify143.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(/.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)

IterNodesCost
01044
12344
24144
37444
414244
535544
694344
7178243
8381343
9762543
0802943
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)

localize87.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓accuracy99.9%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓accuracy71.9%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
25.0ms15×2valid
21.0ms179×0valid
18.0ms62×1valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 5.0ms (31.2% of total)
ival-add: 5.0ms (31.2% of total)
ival-sub: 3.0ms (18.7% of total)
backward-pass: 3.0ms (18.7% of total)
const: 1.0ms (6.2% of total)

series32.0ms (0.4%)

Counts
5 → 120
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) 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 (+ 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

30 calls:

TimeVariablePointExpression
20.0ms
beta
@inf
(/ (- beta alpha) (+ (+ alpha beta) 2))
1.0ms
alpha
@-inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
beta
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

rewrite346.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
4146×/-lowering-/.f32
4146×/-lowering-/.f64
3826×*-lowering-*.f32
3826×*-lowering-*.f64
1982×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01037
18637
278037
0852037
Stop Event
1×iter limit
1×node limit
Counts
5 → 300
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) 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)))
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(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))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.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 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 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 -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 #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 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.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 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 beta (+.f64 alpha #s(literal 2 binary64))) (/.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 (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 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.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 -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 #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 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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)))))))
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(+.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 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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 #s(literal -2 binary64) (+.f64 beta alpha))) #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))
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(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 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 (+.f64 beta 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))))
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(/.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 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.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 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (+.f64 beta 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 #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))) (neg.f64 (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 beta 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 (+.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (+.f64 (+.f64 beta 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 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.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 (+.f64 beta 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 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta 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 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta 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 #s(literal -2 binary64) (+.f64 beta alpha))))))
(*.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 #s(literal -2 binary64) (+.f64 beta alpha))))))
(*.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta 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 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.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 (+.f64 beta 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))))

simplify305.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
2786×+-lowering-+.f64
2786×+-lowering-+.f32
2592×*-lowering-*.f32
2592×*-lowering-*.f64
1778×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04232307
114822049
255462004
080582004
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
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)))))
(+ 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)))))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
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(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(/ (+ 2 (* 2 beta)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (+.f64 (+.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)) 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)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) (-.f64 #s(literal 2 binary64) (+.f64 (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 alpha 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)
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) beta) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 alpha (*.f64 alpha alpha))))) (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.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))))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta))) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -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))))))
(-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -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))))))
(-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta (+.f64 (-.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 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) beta)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))) (/.f64 alpha beta))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) beta))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))) beta)) beta))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.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)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (-.f64 (*.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 (+.f64 #s(literal 2 binary64) beta))) (+.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))))))
(+ (* 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)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 (*.f64 alpha (neg.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 (+.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 #s(literal 2 binary64) beta)))) (+.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))))))
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 1 binary64))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(+.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha 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)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) alpha))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal 0 binary64) alpha)))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) alpha)))
(- (* -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)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.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 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) alpha)))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (/ alpha beta) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (/ alpha beta) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 alpha beta))))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.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 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.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 14100 to 1788 computations (87.3% saved)

prune88.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New40911420
Fresh000
Picked011
Done000
Total40912421
Accuracy
99.9%
Counts
421 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(/.f64 (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 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
47.8%
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.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)))) #s(literal 2 binary64))
▶26.6%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
▶49.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓71.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
46.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
30.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
▶69.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶71.7%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
29.4%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)))) alpha)
32.6%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶34.5%
#s(literal 1 binary64)
Compiler

Compiled 403 to 228 computations (43.4% saved)

simplify235.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓cost-diff256
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 alpha #s(literal 2 binary64))
✓cost-diff0
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) beta)
✓cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓cost-diff0
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
Rules
2320×*-lowering-*.f32
2320×*-lowering-*.f64
1930×+-lowering-+.f64
1930×+-lowering-+.f32
1436×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023153
152142
2102140
3236137
4583137
51510137
64241137
08490137
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)
(+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)
(/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))
1
(/ (+ beta (+ alpha 2)) (- beta alpha))
(+ beta (+ alpha 2))
beta
(+ alpha 2)
alpha
2
(- beta alpha)
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 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (+ beta (+ alpha 2)) (- beta alpha))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
(+ beta (+ alpha 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
beta
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
alpha
2
#s(literal 2 binary64)
(- beta alpha)
(-.f64 beta alpha)
1
#s(literal 1 binary64)
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64))
(+ (/ beta (+ 2 beta)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(/.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -2 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 alpha #s(literal 2 binary64)))
alpha
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
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 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
2
#s(literal 2 binary64)
(/ (+ 2 (* alpha 2)) beta)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
(+ 2 (* alpha 2))
(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
(* alpha 2)
(*.f64 alpha #s(literal 2 binary64))
alpha
beta

localize297.0ms (3.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓accuracy66.7%
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) beta)
✓accuracy100.0%
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓accuracy100.0%
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓accuracy99.9%
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓accuracy71.9%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))
Results
78.0ms76×1valid
59.0ms165×0valid
17.0ms15×2valid
Compiler

Compiled 159 to 24 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 24.0ms (41.7% of total)
ival-add: 16.0ms (27.8% of total)
backward-pass: 9.0ms (15.6% of total)
ival-sub: 5.0ms (8.7% of total)
ival-mult: 2.0ms (3.5% of total)
const: 1.0ms (1.7% of total)

series19.0ms (0.2%)

Counts
18 → 312
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))>
#<alt (/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)>
#<alt (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)>
#<alt (/ (+ beta (+ alpha 2)) (- beta alpha))>
#<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 (+ beta (+ alpha 2))>
#<alt (* alpha 2)>
Outputs
#<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 (- 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 (/ (+ 2 alpha) alpha))>
#<alt (+ (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (/ (+ 2 alpha) alpha)))>
#<alt (+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))>
#<alt (+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 4)))))) (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))>
#<alt 1>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2))))) (* -1 (/ alpha beta)))>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) (pow beta 3))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (+ (* alpha (- (+ 2 alpha) (* -1 alpha))) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) beta)) beta))) beta)))>
#<alt (/ (+ 2 beta) beta)>
#<alt (+ 1 (+ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))>
#<alt (+ 1 (+ (* alpha (- (+ (/ 1 beta) (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))>
#<alt (+ 1 (+ (* alpha (- (+ (* alpha (- (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (pow beta 2)) (* -1 (/ (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2)))) beta)))) (/ 1 beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))>
#<alt -1>
#<alt (- (* -1 (/ (+ 2 beta) alpha)) (+ 1 (/ beta alpha)))>
#<alt (- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (+ 1 (/ beta alpha)))>
#<alt (- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (pow beta 2) (- (* -1 (+ 2 beta)) beta)) (pow alpha 3))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (/ beta alpha))))>
#<alt -1>
#<alt (- (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (+ beta (/ (* beta (- (+ 2 beta) (* -1 beta))) alpha))) (* -1 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (+ beta (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- (+ 2 beta) (* -1 beta))) alpha)) (* beta (- (+ 2 beta) (* -1 beta)))) alpha)))) (* -1 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 beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* 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

78 calls:

TimeVariablePointExpression
2.0ms
alpha
@0
(/ (+ 2 (* alpha 2)) beta)
1.0ms
beta
@-inf
(/ (+ beta (+ alpha 2)) (- beta alpha))
1.0ms
alpha
@-inf
(/ (+ beta (+ alpha 2)) (- beta alpha))
1.0ms
alpha
@0
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
1.0ms
beta
@0
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)

rewrite444.0ms (5%)

Algorithm
1×batch-egg-rewrite
Rules
4956×*-lowering-*.f32
4956×*-lowering-*.f64
3178×/-lowering-/.f32
3178×/-lowering-/.f64
2386×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023133
1201121
21914121
08388121
Stop Event
1×iter limit
1×node limit
Counts
18 → 406
Calls
Call 1
Inputs
(/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))
(/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)
(+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)
(/ (+ beta (+ alpha 2)) (- beta alpha))
(/ (+ (/ 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))
(+ beta (+ alpha 2))
(* alpha 2)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha)))
(+.f64 (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) beta (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 beta alpha))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.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))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)))
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(*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (*.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))))))
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -2 binary64)) beta) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -2 binary64)) beta))
(/.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))))))
(/.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 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 beta (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) beta)
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64)))) beta))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha)) beta))
(/.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 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) beta)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) (/.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 alpha #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))) #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 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 alpha 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 alpha #s(literal 2 binary64)))
(+.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha))))
(fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) alpha))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))) (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 4 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 alpha 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 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(+.f64 (+.f64 alpha #s(literal 2 binary64)) beta)
(+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 alpha alpha) (-.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64))))) beta)
(fma.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 beta (-.f64 beta #s(literal 2 binary64))))) alpha)
(fma.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal -2 binary64))) beta)
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) beta)) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(/.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta beta) (*.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 (neg.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (neg.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (neg.f64 (-.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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(/.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))
(/.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))))
(*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 alpha #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) alpha)

simplify341.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
4230×+-lowering-+.f64
4230×+-lowering-+.f32
3826×*-lowering-*.f32
3826×*-lowering-*.f64
1644×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07364179
125723638
084603638
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* -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 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (+ 2 alpha) alpha))
(+ (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (/ (+ 2 alpha) alpha)))
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 4)))))) (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))
1
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))
(- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2))))) (* -1 (/ alpha beta)))
(- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) (pow beta 3))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2)))))
1
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (+ (* alpha (- (+ 2 alpha) (* -1 alpha))) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) beta)) beta))) beta)))
(/ (+ 2 beta) beta)
(+ 1 (+ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))
(+ 1 (+ (* alpha (- (+ (/ 1 beta) (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))
(+ 1 (+ (* alpha (- (+ (* alpha (- (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (pow beta 2)) (* -1 (/ (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2)))) beta)))) (/ 1 beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))
-1
(- (* -1 (/ (+ 2 beta) alpha)) (+ 1 (/ beta alpha)))
(- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (+ 1 (/ beta alpha)))
(- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (pow beta 2) (- (* -1 (+ 2 beta)) beta)) (pow alpha 3))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (/ beta alpha))))
-1
(- (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha)) 1)
(- (* -1 (/ (- (+ 2 (+ beta (/ (* beta (- (+ 2 beta) (* -1 beta))) alpha))) (* -1 beta)) alpha)) 1)
(- (* -1 (/ (- (+ 2 (+ beta (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- (+ 2 beta) (* -1 beta))) alpha)) (* beta (- (+ 2 beta) (* -1 beta)))) alpha)))) (* -1 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 beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* 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 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(-.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 (/ 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))))))
(-.f64 (*.f64 beta (+.f64 (*.f64 beta (+.f64 (*.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -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))))))
(-.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 (*.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)))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha)))) (*.f64 beta beta))) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha))) (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta)) (/.f64 alpha beta)) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha)))) (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha)))) beta) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha))) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha))) beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 alpha alpha))))) beta))) beta))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (-.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 2 binary64) beta)) (+.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)))))))
(+ (* 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)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.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 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.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
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha alpha)) (-.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) 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)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.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 alpha alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(+.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(- 1 (/ alpha (+ 2 alpha)))
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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)))))
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(- (+ 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))))))
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2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(+ 1 (/ beta (+ 2 beta)))
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(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(/ (+ 2 (* 2 beta)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))
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(/ (+ 2 beta) beta)
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-1
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(- (* -1 (/ (+ 2 beta) alpha)) (+ 1 (/ beta alpha)))
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#s(literal -1 binary64)
(- (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha)) 1)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
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(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
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1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
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1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 beta))
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2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
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(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
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2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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2
#s(literal 2 binary64)
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beta
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beta
(* beta (+ 1 (* 2 (/ 1 beta))))
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1/2
#s(literal 1/2 binary64)
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(/ 1 alpha)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 alpha))
(+.f64 #s(literal 1 binary64) (*.f64 alpha #s(literal -1/2 binary64)))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 (*.f64 alpha #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 (*.f64 alpha (+.f64 #s(literal 1/4 binary64) (*.f64 alpha #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 16 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 4 binary64) alpha))) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal -8 binary64)) alpha)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* 1/2 alpha)
(*.f64 alpha #s(literal 1/2 binary64))
(* alpha (+ 1/2 (* -1/4 alpha)))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (*.f64 alpha #s(literal 1/8 binary64)) #s(literal -1/4 binary64)))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (*.f64 alpha (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -1/16 binary64)))) #s(literal -1/4 binary64)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha)) (/.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha)) alpha))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* 1/2 (- 2 (* 2 (/ 1 beta))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) beta)))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) beta))) (/.f64 alpha beta))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) beta))) (/.f64 alpha beta))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) beta))) (/.f64 alpha beta))
(* -1 (/ alpha beta))
(-.f64 #s(literal 0 binary64) (/.f64 alpha beta))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) beta))) alpha) (/.f64 #s(literal -1 binary64) beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) beta))) alpha) (/.f64 #s(literal -1 binary64) beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) beta))) alpha) (/.f64 #s(literal -1 binary64) beta)))
(* -1 (/ alpha beta))
(-.f64 #s(literal 0 binary64) (/.f64 alpha beta))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))) alpha)))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))) alpha)))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))) alpha)))
(* -1/2 (/ (+ 2 (* 2 alpha)) beta))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha)) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
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 0 binary64) alpha)) beta))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha)) beta))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha)) beta))
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 0 binary64) alpha)) beta))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha)) beta))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha)) beta))
(- 2 (* 2 (/ 1 beta)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) (/.f64 #s(literal -2 binary64) beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) (/.f64 #s(literal -2 binary64) beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (+.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 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(*.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(*.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(*.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))))
(* -2 (/ alpha beta))
(/.f64 (*.f64 alpha #s(literal -2 binary64)) beta)
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta)) alpha)))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta)) alpha)))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta)) alpha)))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) alpha)) beta)
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 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.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
#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 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.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 #s(literal 2 binary64) beta) (*.f64 alpha (/.f64 #s(literal 2 binary64) beta)))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 2 binary64) beta) (*.f64 alpha (/.f64 #s(literal 2 binary64) beta)))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 2 binary64) beta) (*.f64 alpha (/.f64 #s(literal 2 binary64) beta)))
(* 2 (/ alpha beta))
(*.f64 alpha (/.f64 #s(literal 2 binary64) beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta))))
(* 2 (/ alpha beta))
(*.f64 alpha (/.f64 #s(literal 2 binary64) beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 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 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 #s(literal 0 binary64) (*.f64 beta (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) beta) #s(literal -1 binary64))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 beta (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) beta) #s(literal -1 binary64))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 beta (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) beta) #s(literal -1 binary64))))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.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 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 binary64))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 binary64))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 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))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))

eval140.0ms (1.6%)

Compiler

Compiled 15079 to 2415 computations (84% saved)

prune128.0ms (1.4%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New73213745
Fresh426
Picked235
Done011
Total73819757
Accuracy
99.9%
Counts
757 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.9%
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.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))) #s(literal 1 binary64)) #s(literal 2 binary64))
52.3%
(/.f64 (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 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
49.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 2 binary64))
49.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))))) #s(literal 2 binary64))
47.6%
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (+.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)))) #s(literal 2 binary64))
30.1%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
✓49.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓71.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
46.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓69.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶32.0%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶25.1%
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
32.6%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
26.7%
(/.f64 #s(literal 1 binary64) alpha)
26.9%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
▶44.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
46.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓34.5%
#s(literal 1 binary64)
▶48.3%
#s(literal 1/2 binary64)
Compiler

Compiled 594 to 311 computations (47.6% saved)

simplify284.0ms (3.2%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 beta alpha) (-.f64 beta alpha))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
✓cost-diff0
(/.f64 #s(literal -2 binary64) alpha)
✓cost-diff0
(+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
✓cost-diff0
(*.f64 beta #s(literal 1/4 binary64))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.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))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff7040
(fma.f64 (/.f64 (-.f64 beta alpha) (-.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))) #s(literal 1 binary64))
Rules
2366×--lowering--.f32
2366×--lowering--.f64
2296×*-lowering-*.f32
2296×*-lowering-*.f64
2194×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027154
167151
2180134
3680134
43804134
08228134
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1) 2)
(+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1)
(/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2))))
(- beta alpha)
beta
alpha
(- (* beta beta) (* (+ alpha 2) (+ alpha 2)))
(* beta beta)
(* (+ alpha 2) (+ alpha 2))
(+ alpha 2)
2
(- beta (+ alpha 2))
1
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
(/ (+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1) 2)
(+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1)
(/ 1 (/ (+ beta alpha) (- beta alpha)))
1
(/ (+ beta alpha) (- beta alpha))
(+ beta alpha)
beta
alpha
(- beta alpha)
2
Outputs
(/ (+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(- (* beta beta) (* (+ alpha 2) (+ alpha 2)))
(+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))
(* beta beta)
(*.f64 beta beta)
(* (+ alpha 2) (+ alpha 2))
(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- beta (+ alpha 2))
(+.f64 beta (-.f64 #s(literal -2 binary64) alpha))
1
#s(literal 1 binary64)
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)
(/ (+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta alpha))) #s(literal 2 binary64))
(+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)))
(/ 1 (/ (+ beta alpha) (- beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta alpha))
1
#s(literal 1 binary64)
(/ (+ beta alpha) (- beta alpha))
(/.f64 (+.f64 beta alpha) (-.f64 beta alpha))
(+ beta alpha)
(+.f64 beta alpha)
beta
alpha
(- beta alpha)
(-.f64 beta alpha)
2
#s(literal 2 binary64)

localize325.0ms (3.6%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 beta alpha)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
✓accuracy99.9%
(/.f64 (+.f64 beta alpha) (-.f64 beta alpha))
✓accuracy80.7%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) alpha)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64))
✓accuracy99.9%
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓accuracy100.0%
(*.f64 beta #s(literal 1/4 binary64))
✓accuracy99.9%
(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))
✓accuracy99.9%
(fma.f64 (/.f64 (-.f64 beta alpha) (-.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))) #s(literal 1 binary64))
✓accuracy99.1%
(-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
✓accuracy84.6%
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
Results
186.0ms77×5exit
58.0ms127×0valid
38.0ms52×1valid
Compiler

Compiled 180 to 27 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
backward-pass: 40.0ms (36.3% of total)
ival-div: 26.0ms (23.6% of total)
ival-add: 13.0ms (11.8% of total)
ival-mult: 12.0ms (10.9% of total)
compiled-spec: 10.0ms (9.1% of total)
ival-sub: 7.0ms (6.4% of total)
const: 1.0ms (0.9% of total)

series53.0ms (0.6%)

Counts
16 → 312
Calls
Call 1
Inputs
#<alt (+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1)>
#<alt (/ (+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1) 2)>
#<alt (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2))))>
#<alt (- beta alpha)>
#<alt (+ 1/2 (* beta 1/4))>
#<alt (* beta 1/4)>
#<alt (/ (+ (/ -2 alpha) 1) alpha)>
#<alt (+ (/ -2 alpha) 1)>
#<alt (/ -2 alpha)>
#<alt (/ 1 (/ (+ beta alpha) (- beta alpha)))>
#<alt (/ (+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1) 2)>
#<alt (+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1)>
#<alt (/ (+ beta alpha) (- beta alpha))>
#<alt (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))>
#<alt (* (+ alpha 2) (+ alpha 2))>
#<alt (+ beta alpha)>
Outputs
#<alt (+ 1 (* -1 (/ alpha (+ 2 alpha))))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* -1 (/ (* beta (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow (+ 2 alpha) 2)))))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3))))) (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2)))))))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2))) (* beta (- (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3)))))))))>
#<alt 2>
#<alt (+ 2 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta))))>
#<alt (- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ 2 alpha) beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))))>
#<alt (- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (* (pow (+ 2 alpha) 2) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow beta 3)))))) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (+ (* -1 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 alpha))) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 2 (* 2 alpha))) beta)) (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 alpha))) beta)))>
#<alt (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))>
#<alt (+ 1 (+ (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4))))>
#<alt (+ 1 (+ (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (* alpha (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4))))>
#<alt (+ 1 (+ (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (* alpha (- (+ (* -1 (* alpha (+ (* -4 (/ (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (* -1 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4)))))) (/ 1 (- (pow beta 2) 4))) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4))))>
#<alt (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)>
#<alt (/ (- (+ 4 (+ (* -1 (+ (* -1 beta) (* -1 (- beta 2)))) (+ (* -1 (/ (* beta (- beta 2)) alpha)) (* 4 (/ 1 alpha))))) (+ (* 4 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)) (/ (pow beta 2) alpha))) alpha)>
#<alt (/ (- (+ 4 (+ (* -1 (+ (* -1 beta) (* -1 (- beta 2)))) (+ (* -1 (/ (* beta (- beta 2)) alpha)) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))))) (pow alpha 2))) (* 4 (/ 1 alpha)))))) (+ (* 4 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)) (/ (pow beta 2) alpha))) alpha)>
#<alt (/ (- (+ 4 (+ (* -1 (+ (* -1 beta) (* -1 (- beta 2)))) (+ (* -1 (/ (* beta (- beta 2)) alpha)) (+ (* -1 (/ (+ (* -4 (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2)))))) (* -1 (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) (- (pow beta 2) 4)))) (pow alpha 3))) (* 4 (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4)) (pow alpha 2))) (+ (* 4 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)) (+ (* 4 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) (pow alpha 2))) (/ (pow beta 2) alpha))))) alpha)>
#<alt (* -1 (/ (- (* -1 (- (* 2 beta) 2)) 4) alpha))>
#<alt (* -1 (/ (- (+ (* -1 (- (* 2 beta) 2)) (* -1 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha))) 4) alpha))>
#<alt (* -1 (/ (- (+ (* -1 (- (* 2 beta) 2)) (* -1 (/ (- (+ 4 (+ (* -4 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha)) (+ (* -1 (* beta (- beta 2))) (* -1 (/ (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)) alpha))))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha))) 4) alpha))>
#<alt (* -1 (/ (- (+ (* -1 (- (* 2 beta) 2)) (* -1 (/ (- (+ 4 (+ (* -1 (* beta (- beta 2))) (* -1 (/ (- (+ (* -1 (/ (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) (- (pow beta 2) 4)) alpha)) (* 4 (/ (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)))) alpha))) (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4))))) alpha)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha))) 4) alpha))>
#<alt (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* -1/2 (/ (* beta (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow (+ 2 alpha) 2))) (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))))>
#<alt (+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3))))) (* -1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2))))))>
#<alt (+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2))) (* beta (+ (* -1/2 (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3)))) (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta)))>
#<alt (+ 1 (+ (* 1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* 1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 (* 2 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (+ 2 (* 2 alpha))) beta)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (+ 2 (* 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4))))>
#<alt (+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))))>
#<alt (+ (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) (* alpha (+ (* 1/2 (* alpha (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))))))>
#<alt (+ (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* alpha (+ (* -1/2 (* alpha (+ (* -4 (/ (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (* -1 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4)))))) (* 1/2 (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))))))>
#<alt (* 1/2 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha))>
#<alt (/ (+ (* 1/2 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (* 1/2 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) alpha))) alpha)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))))) (pow alpha 2))) (+ (* 1/2 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (* 1/2 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) alpha)))) alpha)>
#<alt (/ (+ (* -1/2 (/ (+ (* -4 (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2)))))) (* -1 (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) (- (pow beta 2) 4)))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))))) (pow alpha 2))) (+ (* 1/2 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (* 1/2 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) alpha))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 (- (* 2 beta) 2)) 4) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha)) (* 1/2 (- (* -1 (- (* 2 beta) 2)) 4))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* 1/2 (/ (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)))) alpha))) alpha)) (* 1/2 (- (* -1 (- (* 2 beta) 2)) 4))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4))))) (* 1/2 (/ (+ (* -1 (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) (- (pow beta 2) 4))) (* 4 (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)))))) alpha))) alpha)) (* 1/2 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (- (* 2 beta) 2)) 4))) alpha))>
#<alt (/ alpha (pow (+ 2 alpha) 2))>
#<alt (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ alpha (pow (+ 2 alpha) 2)))>
#<alt (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 4)) (/ 1 (pow (+ 2 alpha) 2)))) (/ alpha (pow (+ 2 alpha) 2)))>
#<alt (+ (* beta (- (* beta (- (* -1 (/ beta (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ alpha (pow (+ 2 alpha) 2)))>
#<alt (/ 1 beta)>
#<alt (/ (+ 1 (* -1 (/ alpha beta))) beta)>
#<alt (/ (+ 1 (+ (* -1 (/ alpha beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))) beta)>
#<alt (/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (/ alpha beta) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 alpha) (/ (pow (+ 2 alpha) 2) beta)) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (/ (* alpha (pow (+ 2 alpha) 2)) beta)) beta))) beta)) 1) beta))>
#<alt (/ beta (- (pow beta 2) 4))>
#<alt (+ (* -1 (* alpha (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))))) (/ beta (- (pow beta 2) 4)))>
#<alt (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ beta (pow (- (pow beta 2) 4) 2))) (* 4 (/ (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))) (- (pow beta 2) 4)))))) (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))))) (/ beta (- (pow beta 2) 4)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 3))) (+ (* 4 (/ (+ (* -1 (/ beta (pow (- (pow beta 2) 4) 2))) (* 4 (/ (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))) (- (pow beta 2) 4)))) (- (pow beta 2) 4))) (/ 1 (pow (- (pow beta 2) 4) 2)))))) (+ (* -1 (/ beta (pow (- (pow beta 2) 4) 2))) (* 4 (/ (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))) (- (pow beta 2) 4)))))) (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))))) (/ beta (- (pow beta 2) 4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- (+ 1 (* -1 (/ beta alpha))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (+ (* -1 (/ beta alpha)) (* -1 (/ (+ (* -1 (- (pow beta 2) 4)) (* 4 (- (* -1 beta) 4))) (pow alpha 2))))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (+ (* -1 (/ beta alpha)) (* -1 (/ (+ (* -4 (+ (* -1 (- (pow beta 2) 4)) (* 4 (- (* -1 beta) 4)))) (* -1 (* (- (* -1 beta) 4) (- (pow beta 2) 4)))) (pow alpha 3))))) (+ (* -1 (/ (- (pow beta 2) 4) (pow alpha 2))) (+ (* 4 (/ (- (* -1 beta) 4) (pow alpha 2))) (* 4 (/ 1 alpha))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 beta) 4) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- 4 (+ (* -4 (- (* -1 beta) 4)) (pow beta 2))) alpha))) 4) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 4 (+ (* -4 (/ (- 4 (+ (* -4 (- (* -1 beta) 4)) (pow beta 2))) alpha)) (* -1 (/ (* (- (* -1 beta) 4) (- (pow beta 2) 4)) alpha)))) (+ (* -4 (- (* -1 beta) 4)) (pow beta 2))) alpha))) 4) alpha)) 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 1/2>
#<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>
#<alt (- (* 2 (/ beta alpha)) 1)>
#<alt (- (* beta (+ (* -2 (/ beta (pow alpha 2))) (* 2 (/ 1 alpha)))) 1)>
#<alt (- (* beta (+ (* beta (- (* 2 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2))))) (/ alpha beta))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow alpha 2) (- (* -1 alpha) alpha)) (pow beta 3)))) (+ (/ alpha beta) (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) alpha)) (/ (* alpha (- (* -1 alpha) alpha)) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) alpha)) (* -1 (/ (+ (* -1 (* alpha (- (* -1 alpha) alpha))) (/ (* (pow alpha 2) (- (* -1 alpha) alpha)) beta)) beta))) beta)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ alpha beta)))>
#<alt (+ 1 (* alpha (- (* 2 (/ alpha (pow beta 2))) (* 2 (/ 1 beta)))))>
#<alt (+ 1 (* alpha (- (* alpha (+ (* -2 (/ alpha (pow beta 3))) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ beta alpha))))>
#<alt (- (+ (* -1 (/ (* beta (- beta (* -1 beta))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow beta 2) (- beta (* -1 beta))) (pow alpha 3))) (+ 1 (+ (* -1 (/ beta alpha)) (/ (* beta (- beta (* -1 beta))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) beta) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* beta (- (* -1 beta) beta)) alpha))) beta) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- (* -1 beta) beta)) alpha)) (* -1 (* beta (- (* -1 beta) beta)))) alpha))) beta) alpha)) 1)>
#<alt (/ beta alpha)>
#<alt (* beta (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)))>
#<alt (* beta (+ (* beta (- (/ beta (pow alpha 3)) (/ 1 (pow alpha 2)))) (/ 1 alpha)))>
#<alt (* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow alpha 4))) (/ 1 (pow alpha 3)))) (/ 1 (pow alpha 2)))) (/ 1 alpha)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (+ (* -1 (/ alpha beta)) (* 1/2 (/ (- (pow alpha 2) (* -1 (pow alpha 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1 (/ alpha beta)) (+ (* 1/2 (/ (- (* -1 (pow alpha 3)) (pow alpha 3)) (pow beta 3))) (* 1/2 (/ (- (pow alpha 2) (* -1 (pow alpha 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) alpha)) (* 1/2 (/ (* alpha (- (* -1 alpha) alpha)) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* alpha (- (* -1 alpha) alpha))) (* 1/2 (/ (* (pow alpha 2) (- (* -1 alpha) alpha)) beta))) beta)) (* -1/2 (- (* -1 alpha) alpha))) beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* alpha (- (/ alpha (pow beta 2)) (/ 1 beta))))>
#<alt (+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2)))) (/ 1 beta))))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (* 1/2 (/ (- (* -1 (pow beta 2)) (pow beta 2)) alpha))) alpha)>
#<alt (/ (+ beta (+ (* 1/2 (/ (- (* -1 (pow beta 2)) (pow beta 2)) alpha)) (* 1/2 (/ (- (pow beta 3) (* -1 (pow beta 3))) (pow alpha 2))))) alpha)>
#<alt (/ (+ beta (+ (* 1/2 (/ (- (* -1 (pow beta 2)) (pow beta 2)) alpha)) (+ (* 1/2 (/ (- (* -1 (pow beta 4)) (pow beta 4)) (pow alpha 3))) (* 1/2 (/ (- (pow beta 3) (* -1 (pow beta 3))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) beta) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) beta)) (/ (pow beta 2) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow beta 2)) (/ (pow beta 3) alpha)) alpha)) (* 1/2 (- (* -1 beta) beta))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow beta 3)) (/ (pow beta 4) alpha)) alpha)) (* -1 (pow beta 2))) alpha)) (* 1/2 (- (* -1 beta) beta))) alpha))>
#<alt (* 2 (/ beta alpha))>
#<alt (* beta (+ (* -2 (/ beta (pow alpha 2))) (* 2 (/ 1 alpha))))>
#<alt (* beta (+ (* beta (- (* 2 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha))))>
#<alt (* beta (+ (* beta (- (* beta (+ (* -2 (/ beta (pow alpha 4))) (* 2 (/ 1 (pow alpha 3))))) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (- (+ 2 (/ (pow alpha 2) (pow beta 2))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (* 2 (/ alpha beta))))>
#<alt (- (+ 2 (+ (* -1 (/ (pow alpha 3) (pow beta 3))) (/ (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (/ (pow alpha 3) (pow beta 3)))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (/ alpha beta))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) alpha)) (/ (* alpha (- (* -1 alpha) alpha)) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) alpha)) (* -1 (/ (+ (* -1 (* alpha (- (* -1 alpha) alpha))) (/ (* (pow alpha 2) (- (* -1 alpha) alpha)) beta)) beta))) beta)))>
#<alt 2>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (+ 2 (* alpha (- (* 2 (/ alpha (pow beta 2))) (* 2 (/ 1 beta)))))>
#<alt (+ 2 (* alpha (- (* alpha (+ (* -2 (/ alpha (pow beta 3))) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))))>
#<alt (* 2 (/ beta alpha))>
#<alt (/ (- (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) (/ (pow beta 2) alpha)) alpha)>
#<alt (/ (- (+ (* -1 (/ (pow beta 2) alpha)) (+ (* 2 beta) (/ (pow beta 3) (pow alpha 2)))) (+ (* -1 (/ (pow beta 3) (pow alpha 2))) (/ (pow beta 2) alpha))) alpha)>
#<alt (/ (- (+ (* -1 (/ (pow beta 2) alpha)) (+ (* -1 (/ (pow beta 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow beta 3) (pow alpha 2))))) (+ (* -1 (/ (pow beta 3) (pow alpha 2))) (+ (/ (pow beta 2) alpha) (/ (pow beta 4) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) beta) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* 2 (/ (pow beta 2) alpha))) beta) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* 2 (/ (pow beta 3) alpha)) (* 2 (pow beta 2))) alpha))) beta) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow beta 4) alpha)) (* 2 (pow beta 3))) alpha)) (* 2 (pow beta 2))) alpha))) beta) alpha))>
#<alt -1>
#<alt (- (* -2 (/ beta alpha)) 1)>
#<alt (- (* beta (- (* -2 (/ beta (pow alpha 2))) (* 2 (/ 1 alpha)))) 1)>
#<alt (- (* beta (- (* beta (- (* -2 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ alpha beta)) (* -1 (/ alpha beta)))>
#<alt (- (+ 1 (+ (/ alpha beta) (/ (* alpha (- alpha (* -1 alpha))) (pow beta 2)))) (* -1 (/ alpha beta)))>
#<alt (- (+ 1 (+ (/ alpha beta) (/ (* (pow alpha 2) (- alpha (* -1 alpha))) (pow beta 3)))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- alpha (* -1 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ alpha beta)) (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (* alpha (- alpha (* -1 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* alpha (- alpha (* -1 alpha))) (/ (* (pow alpha 2) (- alpha (* -1 alpha))) beta)) beta))) beta)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ alpha beta)))>
#<alt (+ 1 (* alpha (+ (* 2 (/ alpha (pow beta 2))) (* 2 (/ 1 beta)))))>
#<alt (+ 1 (* alpha (+ (* alpha (+ (* 2 (/ alpha (pow beta 3))) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))))>
#<alt -1>
#<alt (- (* -1 (/ beta alpha)) (+ 1 (/ beta alpha)))>
#<alt (- (+ (* -1 (/ beta alpha)) (/ (* beta (- (* -1 beta) beta)) (pow alpha 2))) (+ 1 (/ beta alpha)))>
#<alt (- (+ (* -1 (/ beta alpha)) (/ (* (pow beta 2) (- (* -1 beta) beta)) (pow alpha 3))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 beta) beta)) (pow alpha 2))) (/ beta alpha))))>
#<alt -1>
#<alt (- (* -1 (/ (- beta (* -1 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ beta (/ (* beta (- beta (* -1 beta))) alpha)) (* -1 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ beta (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (* beta (- beta (* -1 beta)))) alpha))) (* -1 beta)) alpha)) 1)>
#<alt (* -1 (pow (+ 2 alpha) 2))>
#<alt (- (pow beta 2) (pow (+ 2 alpha) 2))>
#<alt (- (pow beta 2) (pow (+ 2 alpha) 2))>
#<alt (- (pow beta 2) (pow (+ 2 alpha) 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))>
#<alt (- (pow beta 2) 4)>
#<alt (- (+ (* -4 alpha) (pow beta 2)) 4)>
#<alt (- (+ (* alpha (- (* -1 alpha) 4)) (pow beta 2)) 4)>
#<alt (- (+ (* alpha (- (* -1 alpha) 4)) (pow beta 2)) 4)>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2))))))>
#<alt (* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2))))))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 4 (* -1 (/ (- (pow beta 2) 4) alpha))) alpha)) 1))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 4 (* -1 (/ (- (pow beta 2) 4) alpha))) alpha)) 1))>
#<alt 4>
#<alt (+ 4 (* 4 alpha))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
Calls

78 calls:

TimeVariablePointExpression
17.0ms
beta
@0
(+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1)
4.0ms
alpha
@0
(/ (+ beta alpha) (- beta alpha))
4.0ms
alpha
@inf
(- (* beta beta) (* (+ alpha 2) (+ alpha 2)))
2.0ms
alpha
@inf
(/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2))))
1.0ms
alpha
@inf
(+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1)

rewrite426.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
4408×*-lowering-*.f32
4408×*-lowering-*.f64
2774×/-lowering-/.f32
2774×/-lowering-/.f64
2286×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027126
1208122
22008122
08666122
Stop Event
1×iter limit
1×node limit
Counts
16 → 443
Calls
Call 1
Inputs
(+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1)
(/ (+ (* (/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2)))) (- beta (+ alpha 2))) 1) 2)
(/ (- beta alpha) (- (* beta beta) (* (+ alpha 2) (+ alpha 2))))
(- beta alpha)
(+ 1/2 (* beta 1/4))
(* beta 1/4)
(/ (+ (/ -2 alpha) 1) alpha)
(+ (/ -2 alpha) 1)
(/ -2 alpha)
(/ 1 (/ (+ beta alpha) (- beta alpha)))
(/ (+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1) 2)
(+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1)
(/ (+ beta alpha) (- beta alpha))
(- (* beta beta) (* (+ alpha 2) (+ alpha 2)))
(* (+ alpha 2) (+ alpha 2))
(+ beta alpha)
Outputs
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta (*.f64 beta (*.f64 beta beta)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) (+.f64 (*.f64 beta (*.f64 beta (*.f64 beta beta))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta (*.f64 beta (*.f64 beta beta))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.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 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))) #s(literal -2 binary64))
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(/.f64 (+.f64 (*.f64 (*.f64 alpha (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 alpha (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (+.f64 alpha #s(literal -2 binary64))))
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(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) alpha) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) alpha) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
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(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) alpha))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) alpha))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 alpha (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 alpha (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) alpha))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) alpha))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) #s(literal 2 binary64)) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) alpha))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) #s(literal 2 binary64)) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) alpha))) (*.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 alpha (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) #s(literal 2 binary64)) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 alpha (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) alpha))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) #s(literal 2 binary64)) (+.f64 alpha #s(literal -2 binary64))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) alpha))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (+.f64 alpha #s(literal -2 binary64))))
(pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 (*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 (+.f64 alpha #s(literal 2 binary64)))) (exp.f64 (log.f64 (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 beta alpha)
(+.f64 alpha beta)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 beta beta) (*.f64 alpha (-.f64 alpha beta))) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))) (+.f64 (*.f64 beta beta) (*.f64 alpha (-.f64 alpha beta))))
(/.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta beta) (*.f64 beta alpha))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))
(/.f64 (neg.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (+.f64 (*.f64 beta beta) (*.f64 alpha (-.f64 alpha beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta))
(pow.f64 (/.f64 (+.f64 (*.f64 beta beta) (*.f64 alpha (-.f64 alpha beta))) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (*.f64 alpha (-.f64 alpha beta)))))
(*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 beta alpha))

simplify498.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
4210×*-lowering-*.f32
4210×*-lowering-*.f64
3932×+-lowering-+.f64
3932×+-lowering-+.f32
2042×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09095685
132654846
084934846
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(+ 1 (* -1 (/ alpha (+ 2 alpha))))
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* -1 (/ (* beta (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow (+ 2 alpha) 2)))))
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3))))) (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2)))))))
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2))) (* beta (- (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3)))))))))
2
(+ 2 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ 2 alpha) beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (* (pow (+ 2 alpha) 2) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow beta 3)))))) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (+ (* -1 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 2 (* 2 alpha))) beta)) (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 alpha))) beta)))
(+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (* alpha (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (* alpha (- (+ (* -1 (* alpha (+ (* -4 (/ (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (* -1 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4)))))) (/ 1 (- (pow beta 2) 4))) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4))))
(/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)
(/ (- (+ 4 (+ (* -1 (+ (* -1 beta) (* -1 (- beta 2)))) (+ (* -1 (/ (* beta (- beta 2)) alpha)) (* 4 (/ 1 alpha))))) (+ (* 4 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)) (/ (pow beta 2) alpha))) alpha)
(/ (- (+ 4 (+ (* -1 (+ (* -1 beta) (* -1 (- beta 2)))) (+ (* -1 (/ (* beta (- beta 2)) alpha)) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))))) (pow alpha 2))) (* 4 (/ 1 alpha)))))) (+ (* 4 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)) (/ (pow beta 2) alpha))) alpha)
(/ (- (+ 4 (+ (* -1 (+ (* -1 beta) (* -1 (- beta 2)))) (+ (* -1 (/ (* beta (- beta 2)) alpha)) (+ (* -1 (/ (+ (* -4 (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2)))))) (* -1 (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) (- (pow beta 2) 4)))) (pow alpha 3))) (* 4 (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4)) (pow alpha 2))) (+ (* 4 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)) (+ (* 4 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) (pow alpha 2))) (/ (pow beta 2) alpha))))) alpha)
(* -1 (/ (- (* -1 (- (* 2 beta) 2)) 4) alpha))
(* -1 (/ (- (+ (* -1 (- (* 2 beta) 2)) (* -1 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha))) 4) alpha))
(* -1 (/ (- (+ (* -1 (- (* 2 beta) 2)) (* -1 (/ (- (+ 4 (+ (* -4 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha)) (+ (* -1 (* beta (- beta 2))) (* -1 (/ (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)) alpha))))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha))) 4) alpha))
(* -1 (/ (- (+ (* -1 (- (* 2 beta) 2)) (* -1 (/ (- (+ 4 (+ (* -1 (* beta (- beta 2))) (* -1 (/ (- (+ (* -1 (/ (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) (- (pow beta 2) 4)) alpha)) (* 4 (/ (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)))) alpha))) (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4))))) alpha)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha))) 4) alpha))
(* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -1/2 (/ (* beta (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow (+ 2 alpha) 2))) (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3))))) (* -1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2))) (* beta (+ (* -1/2 (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3)))) (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))))))))
1
(+ 1 (* 1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* 1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* 1/2 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 (* 2 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (+ 2 (* 2 alpha))) beta)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (+ 2 (* 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))))
(+ (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) (* alpha (+ (* 1/2 (* alpha (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))))))
(+ (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* alpha (+ (* -1/2 (* alpha (+ (* -4 (/ (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (* -1 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4)))))) (* 1/2 (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))))))
(* 1/2 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha))
(/ (+ (* 1/2 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (* 1/2 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))))) (pow alpha 2))) (+ (* 1/2 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (* 1/2 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -4 (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2)))))) (* -1 (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) (- (pow beta 2) 4)))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))))) (pow alpha 2))) (+ (* 1/2 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (* 1/2 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) alpha))))) alpha)
(* -1/2 (/ (- (* -1 (- (* 2 beta) 2)) 4) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha)) (* 1/2 (- (* -1 (- (* 2 beta) 2)) 4))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* 1/2 (/ (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)))) alpha))) alpha)) (* 1/2 (- (* -1 (- (* 2 beta) 2)) 4))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4))))) (* 1/2 (/ (+ (* -1 (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) (- (pow beta 2) 4))) (* 4 (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)))))) alpha))) alpha)) (* 1/2 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (- (* 2 beta) 2)) 4))) alpha))
(/ alpha (pow (+ 2 alpha) 2))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ alpha (pow (+ 2 alpha) 2)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 4)) (/ 1 (pow (+ 2 alpha) 2)))) (/ alpha (pow (+ 2 alpha) 2)))
(+ (* beta (- (* beta (- (* -1 (/ beta (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ alpha (pow (+ 2 alpha) 2)))
(/ 1 beta)
(/ (+ 1 (* -1 (/ alpha beta))) beta)
(/ (+ 1 (+ (* -1 (/ alpha beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) beta)
(/ 1 beta)
(* -1 (/ (- (/ alpha beta) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 alpha) (/ (pow (+ 2 alpha) 2) beta)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (/ (* alpha (pow (+ 2 alpha) 2)) beta)) beta))) beta)) 1) beta))
(/ beta (- (pow beta 2) 4))
(+ (* -1 (* alpha (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))))) (/ beta (- (pow beta 2) 4)))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ beta (pow (- (pow beta 2) 4) 2))) (* 4 (/ (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))) (- (pow beta 2) 4)))))) (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))))) (/ beta (- (pow beta 2) 4)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 3))) (+ (* 4 (/ (+ (* -1 (/ beta (pow (- (pow beta 2) 4) 2))) (* 4 (/ (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))) (- (pow beta 2) 4)))) (- (pow beta 2) 4))) (/ 1 (pow (- (pow beta 2) 4) 2)))))) (+ (* -1 (/ beta (pow (- (pow beta 2) 4) 2))) (* 4 (/ (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))) (- (pow beta 2) 4)))))) (+ (* -4 (/ beta (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))))) (/ beta (- (pow beta 2) 4)))
(/ 1 alpha)
(/ (- (+ 1 (* -1 (/ beta alpha))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 1 (+ (* -1 (/ beta alpha)) (* -1 (/ (+ (* -1 (- (pow beta 2) 4)) (* 4 (- (* -1 beta) 4))) (pow alpha 2))))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 1 (+ (* -1 (/ beta alpha)) (* -1 (/ (+ (* -4 (+ (* -1 (- (pow beta 2) 4)) (* 4 (- (* -1 beta) 4)))) (* -1 (* (- (* -1 beta) 4) (- (pow beta 2) 4)))) (pow alpha 3))))) (+ (* -1 (/ (- (pow beta 2) 4) (pow alpha 2))) (+ (* 4 (/ (- (* -1 beta) 4) (pow alpha 2))) (* 4 (/ 1 alpha))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 beta) 4) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- 4 (+ (* -4 (- (* -1 beta) 4)) (pow beta 2))) alpha))) 4) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 4 (+ (* -4 (/ (- 4 (+ (* -4 (- (* -1 beta) 4)) (pow beta 2))) alpha)) (* -1 (/ (* (- (* -1 beta) 4) (- (pow beta 2) 4)) alpha)))) (+ (* -4 (- (* -1 beta) 4)) (pow beta 2))) alpha))) 4) alpha)) 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)))))
1/2
(+ 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
(- (* 2 (/ beta alpha)) 1)
(- (* beta (+ (* -2 (/ beta (pow alpha 2))) (* 2 (/ 1 alpha)))) 1)
(- (* beta (+ (* beta (- (* 2 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha)))) 1)
1
(- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2))))) (/ alpha beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow alpha 2) (- (* -1 alpha) alpha)) (pow beta 3)))) (+ (/ alpha beta) (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2))))
1
(- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) alpha)) (/ (* alpha (- (* -1 alpha) alpha)) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) alpha)) (* -1 (/ (+ (* -1 (* alpha (- (* -1 alpha) alpha))) (/ (* (pow alpha 2) (- (* -1 alpha) alpha)) beta)) beta))) beta)))
1
(+ 1 (* -2 (/ alpha beta)))
(+ 1 (* alpha (- (* 2 (/ alpha (pow beta 2))) (* 2 (/ 1 beta)))))
(+ 1 (* alpha (- (* alpha (+ (* -2 (/ alpha (pow beta 3))) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ beta alpha))))
(- (+ (* -1 (/ (* beta (- beta (* -1 beta))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha))))
(- (+ (/ beta alpha) (/ (* (pow beta 2) (- beta (* -1 beta))) (pow alpha 3))) (+ 1 (+ (* -1 (/ beta alpha)) (/ (* beta (- beta (* -1 beta))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) beta) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* beta (- (* -1 beta) beta)) alpha))) beta) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- (* -1 beta) beta)) alpha)) (* -1 (* beta (- (* -1 beta) beta)))) alpha))) beta) alpha)) 1)
(/ beta alpha)
(* beta (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)))
(* beta (+ (* beta (- (/ beta (pow alpha 3)) (/ 1 (pow alpha 2)))) (/ 1 alpha)))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow alpha 4))) (/ 1 (pow alpha 3)))) (/ 1 (pow alpha 2)))) (/ 1 alpha)))
1
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (+ (* -1 (/ alpha beta)) (* 1/2 (/ (- (pow alpha 2) (* -1 (pow alpha 2))) (pow beta 2)))))
(+ 1 (+ (* -1 (/ alpha beta)) (+ (* 1/2 (/ (- (* -1 (pow alpha 3)) (pow alpha 3)) (pow beta 3))) (* 1/2 (/ (- (pow alpha 2) (* -1 (pow alpha 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) alpha) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) alpha)) (* 1/2 (/ (* alpha (- (* -1 alpha) alpha)) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* alpha (- (* -1 alpha) alpha))) (* 1/2 (/ (* (pow alpha 2) (- (* -1 alpha) alpha)) beta))) beta)) (* -1/2 (- (* -1 alpha) alpha))) beta)))
1
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* alpha (- (/ alpha (pow beta 2)) (/ 1 beta))))
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2)))) (/ 1 beta))))
(/ beta alpha)
(/ (+ beta (* 1/2 (/ (- (* -1 (pow beta 2)) (pow beta 2)) alpha))) alpha)
(/ (+ beta (+ (* 1/2 (/ (- (* -1 (pow beta 2)) (pow beta 2)) alpha)) (* 1/2 (/ (- (pow beta 3) (* -1 (pow beta 3))) (pow alpha 2))))) alpha)
(/ (+ beta (+ (* 1/2 (/ (- (* -1 (pow beta 2)) (pow beta 2)) alpha)) (+ (* 1/2 (/ (- (* -1 (pow beta 4)) (pow beta 4)) (pow alpha 3))) (* 1/2 (/ (- (pow beta 3) (* -1 (pow beta 3))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) beta) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) beta)) (/ (pow beta 2) alpha)) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (pow beta 2)) (/ (pow beta 3) alpha)) alpha)) (* 1/2 (- (* -1 beta) beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow beta 3)) (/ (pow beta 4) alpha)) alpha)) (* -1 (pow beta 2))) alpha)) (* 1/2 (- (* -1 beta) beta))) alpha))
(* 2 (/ beta alpha))
(* beta (+ (* -2 (/ beta (pow alpha 2))) (* 2 (/ 1 alpha))))
(* beta (+ (* beta (- (* 2 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -2 (/ beta (pow alpha 4))) (* 2 (/ 1 (pow alpha 3))))) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha))))
2
(+ 2 (* -2 (/ alpha beta)))
(- (+ 2 (/ (pow alpha 2) (pow beta 2))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (* 2 (/ alpha beta))))
(- (+ 2 (+ (* -1 (/ (pow alpha 3) (pow beta 3))) (/ (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (/ (pow alpha 3) (pow beta 3)))))
2
(- (+ 2 (* -1 (/ alpha beta))) (/ alpha beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) alpha)) (/ (* alpha (- (* -1 alpha) alpha)) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) alpha)) (* -1 (/ (+ (* -1 (* alpha (- (* -1 alpha) alpha))) (/ (* (pow alpha 2) (- (* -1 alpha) alpha)) beta)) beta))) beta)))
2
(+ 2 (* -2 (/ alpha beta)))
(+ 2 (* alpha (- (* 2 (/ alpha (pow beta 2))) (* 2 (/ 1 beta)))))
(+ 2 (* alpha (- (* alpha (+ (* -2 (/ alpha (pow beta 3))) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))))
(* 2 (/ beta alpha))
(/ (- (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) (/ (pow beta 2) alpha)) alpha)
(/ (- (+ (* -1 (/ (pow beta 2) alpha)) (+ (* 2 beta) (/ (pow beta 3) (pow alpha 2)))) (+ (* -1 (/ (pow beta 3) (pow alpha 2))) (/ (pow beta 2) alpha))) alpha)
(/ (- (+ (* -1 (/ (pow beta 2) alpha)) (+ (* -1 (/ (pow beta 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow beta 3) (pow alpha 2))))) (+ (* -1 (/ (pow beta 3) (pow alpha 2))) (+ (/ (pow beta 2) alpha) (/ (pow beta 4) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) beta) alpha))
(* -1 (/ (- (+ (* -1 beta) (* 2 (/ (pow beta 2) alpha))) beta) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* 2 (/ (pow beta 3) alpha)) (* 2 (pow beta 2))) alpha))) beta) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow beta 4) alpha)) (* 2 (pow beta 3))) alpha)) (* 2 (pow beta 2))) alpha))) beta) alpha))
-1
(- (* -2 (/ beta alpha)) 1)
(- (* beta (- (* -2 (/ beta (pow alpha 2))) (* 2 (/ 1 alpha)))) 1)
(- (* beta (- (* beta (- (* -2 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha)))) 1)
1
(- (+ 1 (/ alpha beta)) (* -1 (/ alpha beta)))
(- (+ 1 (+ (/ alpha beta) (/ (* alpha (- alpha (* -1 alpha))) (pow beta 2)))) (* -1 (/ alpha beta)))
(- (+ 1 (+ (/ alpha beta) (/ (* (pow alpha 2) (- alpha (* -1 alpha))) (pow beta 3)))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- alpha (* -1 alpha))) (pow beta 2)))))
1
(- (+ 1 (/ alpha beta)) (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (* alpha (- alpha (* -1 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* alpha (- alpha (* -1 alpha))) (/ (* (pow alpha 2) (- alpha (* -1 alpha))) beta)) beta))) beta)))
1
(+ 1 (* 2 (/ alpha beta)))
(+ 1 (* alpha (+ (* 2 (/ alpha (pow beta 2))) (* 2 (/ 1 beta)))))
(+ 1 (* alpha (+ (* alpha (+ (* 2 (/ alpha (pow beta 3))) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))))
-1
(- (* -1 (/ beta alpha)) (+ 1 (/ beta alpha)))
(- (+ (* -1 (/ beta alpha)) (/ (* beta (- (* -1 beta) beta)) (pow alpha 2))) (+ 1 (/ beta alpha)))
(- (+ (* -1 (/ beta alpha)) (/ (* (pow beta 2) (- (* -1 beta) beta)) (pow alpha 3))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 beta) beta)) (pow alpha 2))) (/ beta alpha))))
-1
(- (* -1 (/ (- beta (* -1 beta)) alpha)) 1)
(- (* -1 (/ (- (+ beta (/ (* beta (- beta (* -1 beta))) alpha)) (* -1 beta)) alpha)) 1)
(- (* -1 (/ (- (+ beta (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (* beta (- beta (* -1 beta)))) alpha))) (* -1 beta)) alpha)) 1)
(* -1 (pow (+ 2 alpha) 2))
(- (pow beta 2) (pow (+ 2 alpha) 2))
(- (pow beta 2) (pow (+ 2 alpha) 2))
(- (pow beta 2) (pow (+ 2 alpha) 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(- (pow beta 2) 4)
(- (+ (* -4 alpha) (pow beta 2)) 4)
(- (+ (* alpha (- (* -1 alpha) 4)) (pow beta 2)) 4)
(- (+ (* alpha (- (* -1 alpha) 4)) (pow beta 2)) 4)
(* -1 (pow alpha 2))
(* -1 (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha)))))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2))))))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2))))))
(* -1 (pow alpha 2))
(* -1 (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha)))))
(* (pow alpha 2) (- (* -1 (/ (+ 4 (* -1 (/ (- (pow beta 2) 4) alpha))) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ 4 (* -1 (/ (- (pow beta 2) 4) alpha))) alpha)) 1))
4
(+ 4 (* 4 alpha))
(+ 4 (* alpha (+ 4 alpha)))
(+ 4 (* alpha (+ 4 alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
Outputs
(+ 1 (* -1 (/ alpha (+ 2 alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* -1 (/ (* beta (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow (+ 2 alpha) 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (/.f64 (*.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3))))) (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta (-.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta (+.f64 (/.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 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))))
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2))) (* beta (- (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 3)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta (+.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta (-.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 (/.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 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))))
2
#s(literal 2 binary64)
(+ 2 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta))))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (/.f64 alpha beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ 2 alpha) beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))))
(+.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (/.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)))) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (* (pow (+ 2 alpha) 2) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) (pow beta 3)))))) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))))
(+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))))) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))))
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 (* -1 (/ (+ 2 (+ (* -1 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 alpha))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta))) beta))
(+ 2 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 2 (* 2 alpha))) beta)) (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 alpha))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) (+.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta))) beta))
(+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (*.f64 alpha (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))))))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (* alpha (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (*.f64 alpha (+.f64 (-.f64 (-.f64 (*.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))))))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))))))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (* alpha (- (+ (* -1 (* alpha (+ (* -4 (/ (- (/ 1 (- (pow beta 2) 4)) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (* -1 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4)))))) (/ 1 (- (pow beta 2) 4))) (+ (* -4 (/ (- (+ (* -1 (/ beta (- (pow beta 2) 4))) (* -1 (/ (- beta 2) (- (pow beta 2) 4)))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))) (* -4 (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (*.f64 alpha (+.f64 (-.f64 (-.f64 (*.f64 alpha (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (*.f64 alpha (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))))))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))))) (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))))))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))))))))
(/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)
(/.f64 (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta)) alpha)
(/ (- (+ 4 (+ (* -1 (+ (* -1 beta) (* -1 (- beta 2)))) (+ (* -1 (/ (* beta (- beta 2)) alpha)) (* 4 (/ 1 alpha))))) (+ (* 4 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)) (/ (pow beta 2) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 4 binary64) (+.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 beta #s(literal -2 binary64)))) (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) alpha)) (/.f64 #s(literal 4 binary64) alpha))) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta)) alpha))) (/.f64 (*.f64 beta beta) alpha)) alpha)
(/ (- (+ 4 (+ (* -1 (+ (* -1 beta) (* -1 (- beta 2)))) (+ (* -1 (/ (* beta (- beta 2)) alpha)) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))))) (pow alpha 2))) (* 4 (/ 1 alpha)))))) (+ (* 4 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)) (/ (pow beta 2) alpha))) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 beta #s(literal -2 binary64)))) (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) alpha)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 (*.f64 beta beta) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta)))))) (*.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64)) (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta)))) (*.f64 alpha alpha)))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta))) alpha) (/.f64 (*.f64 beta beta) alpha)))) alpha)
(/ (- (+ 4 (+ (* -1 (+ (* -1 beta) (* -1 (- beta 2)))) (+ (* -1 (/ (* beta (- beta 2)) alpha)) (+ (* -1 (/ (+ (* -4 (+ (* -1 (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4))) (* 4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2)))))) (* -1 (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) (- (pow beta 2) 4)))) (pow alpha 3))) (* 4 (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) (- (pow beta 2) 4)) (pow alpha 2))) (+ (* 4 (/ (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2))))) alpha)) (+ (* 4 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* 4 (+ 4 (* -1 (+ (* -1 beta) (* -1 (- beta 2)))))) (pow beta 2))) (pow alpha 2))) (/ (pow beta 2) alpha))))) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 beta #s(literal -2 binary64)))) (/.f64 (*.f64 beta (+.f64 beta #s(literal -2 binary64))) alpha)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 (*.f64 beta beta) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta)))))) (*.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64)) (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta))))) (*.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 (*.f64 beta beta) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta))))))) (*.f64 alpha (*.f64 alpha alpha))))) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta))) alpha) (+.f64 (/.f64 (*.f64 beta beta) alpha) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 (*.f64 beta beta) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta)))))) (*.f64 alpha alpha)))) (/.f64 (*.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64)) (-.f64 #s(literal 4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64)) beta))) (*.f64 alpha alpha))))) alpha)
(* -1 (/ (- (* -1 (- (* 2 beta) 2)) 4) alpha))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 (- (* 2 beta) 2)) (* -1 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha))) 4) alpha))
(/.f64 (+.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal -4 binary64)))) (*.f64 beta beta)) alpha)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 (- (* 2 beta) 2)) (* -1 (/ (- (+ 4 (+ (* -4 (/ (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha)) (+ (* -1 (* beta (- beta 2))) (* -1 (/ (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)) alpha))))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha))) 4) alpha))
(/.f64 (+.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (-.f64 (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal -4 binary64)))) (*.f64 beta beta)) alpha)) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64)) alpha))) (+.f64 (*.f64 beta beta) (+.f64 (*.f64 #s(literal -4 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(literal 16 binary64))))) alpha)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 (- (* 2 beta) 2)) (* -1 (/ (- (+ 4 (+ (* -1 (* beta (- beta 2))) (* -1 (/ (- (+ (* -1 (/ (* (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) (- (pow beta 2) 4)) alpha)) (* 4 (/ (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4)))) alpha))) (+ (* -4 (- (+ 4 (* -1 (* beta (- beta 2)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2)))) (* -1 (* (- (* -1 (- (* 2 beta) 2)) 4) (- (pow beta 2) 4))))) alpha)))) (+ (* -4 (- (* -1 (- (* 2 beta) 2)) 4)) (pow beta 2))) alpha))) 4) alpha))
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(/.f64 (-.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha alpha))) (-.f64 (/.f64 (*.f64 beta beta) alpha) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha alpha)))) alpha)
(/ (- (+ (* -1 (/ (pow beta 2) alpha)) (+ (* -1 (/ (pow beta 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow beta 3) (pow alpha 2))))) (+ (* -1 (/ (pow beta 3) (pow alpha 2))) (+ (/ (pow beta 2) alpha) (/ (pow beta 4) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 4 binary64)) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 (*.f64 beta beta) alpha)) (+.f64 (-.f64 (/.f64 (*.f64 beta beta) alpha) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 4 binary64)) (*.f64 alpha (*.f64 alpha alpha))))) alpha)
(* -1 (/ (- (* -1 beta) beta) alpha))
(/.f64 (+.f64 beta beta) alpha)
(* -1 (/ (- (+ (* -1 beta) (* 2 (/ (pow beta 2) alpha))) beta) alpha))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta beta)) alpha) beta) beta) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* 2 (/ (pow beta 3) alpha)) (* 2 (pow beta 2))) alpha))) beta) alpha))
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) alpha) (*.f64 beta beta))) alpha)) beta) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow beta 4) alpha)) (* 2 (pow beta 3))) alpha)) (* 2 (pow beta 2))) alpha))) beta) alpha))
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 beta #s(literal 4 binary64)) alpha) (*.f64 beta (*.f64 beta beta)))) alpha)) (*.f64 (*.f64 beta beta) #s(literal -2 binary64))) alpha)) beta) (-.f64 #s(literal 0 binary64) alpha))
-1
#s(literal -1 binary64)
(- (* -2 (/ beta alpha)) 1)
(+.f64 (*.f64 (/.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* beta (- (* -2 (/ beta (pow alpha 2))) (* 2 (/ 1 alpha)))) 1)
(+.f64 (*.f64 beta (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (*.f64 alpha alpha))) (/.f64 #s(literal -2 binary64) alpha))) #s(literal -1 binary64))
(- (* beta (- (* beta (- (* -2 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha)))) 1)
(+.f64 (*.f64 beta (+.f64 (*.f64 beta (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)))) (/.f64 #s(literal -2 binary64) alpha))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ alpha beta)) (* -1 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha alpha) beta))
(- (+ 1 (+ (/ alpha beta) (/ (* alpha (- alpha (* -1 alpha))) (pow beta 2)))) (* -1 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (+.f64 alpha alpha)) (*.f64 beta beta))) (/.f64 alpha beta)))
(- (+ 1 (+ (/ alpha beta) (/ (* (pow alpha 2) (- alpha (* -1 alpha))) (pow beta 3)))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- alpha (* -1 alpha))) (pow beta 2)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta)))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (+.f64 alpha alpha)) (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(- (+ 1 (/ alpha beta)) (* -1 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha alpha) beta))
(+ 1 (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (* alpha (- alpha (* -1 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) alpha) (/.f64 (*.f64 alpha (+.f64 alpha alpha)) beta)) beta))
(+ 1 (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* alpha (- alpha (* -1 alpha))) (/ (* (pow alpha 2) (- alpha (* -1 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 alpha (+.f64 alpha alpha)) (*.f64 (*.f64 alpha alpha) (/.f64 (+.f64 alpha alpha) beta))) (-.f64 #s(literal 0 binary64) beta)) (+.f64 alpha alpha)) beta))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta))
(+ 1 (* alpha (+ (* 2 (/ alpha (pow beta 2))) (* 2 (/ 1 beta)))))
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta))))
(+ 1 (* alpha (+ (* alpha (+ (* 2 (/ alpha (pow beta 3))) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))))
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) (*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 beta (*.f64 beta beta))))))))
-1
#s(literal -1 binary64)
(- (* -1 (/ beta alpha)) (+ 1 (/ beta alpha)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(- (+ (* -1 (/ beta alpha)) (/ (* beta (- (* -1 beta) beta)) (pow alpha 2))) (+ 1 (/ beta alpha)))
(-.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 beta (+.f64 beta beta))) (*.f64 alpha alpha)) (/.f64 beta alpha)) (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(- (+ (* -1 (/ beta alpha)) (/ (* (pow beta 2) (- (* -1 beta) beta)) (pow alpha 3))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 beta) beta)) (pow alpha 2))) (/ beta alpha))))
(-.f64 (-.f64 (/.f64 (*.f64 (*.f64 beta beta) (-.f64 (-.f64 #s(literal 0 binary64) beta) beta)) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 beta alpha)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 beta beta)) (*.f64 alpha alpha)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- beta (* -1 beta)) alpha)) 1)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 beta beta) alpha)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ beta (/ (* beta (- beta (* -1 beta))) alpha)) (* -1 beta)) alpha)) 1)
(+.f64 (/.f64 (+.f64 beta (+.f64 beta (/.f64 (*.f64 beta (+.f64 beta beta)) alpha))) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ beta (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (* beta (- beta (* -1 beta)))) alpha))) (* -1 beta)) alpha)) 1)
(+.f64 (/.f64 (+.f64 beta (+.f64 beta (/.f64 (+.f64 (*.f64 (*.f64 beta beta) (/.f64 (+.f64 beta beta) alpha)) (*.f64 beta (+.f64 beta beta))) alpha))) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64))
(* -1 (pow (+ 2 alpha) 2))
(*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))
(- (pow beta 2) (pow (+ 2 alpha) 2))
(-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(- (pow beta 2) (pow (+ 2 alpha) 2))
(-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(- (pow beta 2) (pow (+ 2 alpha) 2))
(-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta))))
(- (pow beta 2) 4)
(+.f64 (*.f64 beta beta) #s(literal -4 binary64))
(- (+ (* -4 alpha) (pow beta 2)) 4)
(+.f64 (*.f64 alpha #s(literal -4 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))
(- (+ (* alpha (- (* -1 alpha) 4)) (pow beta 2)) 4)
(+.f64 (*.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -4 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))
(- (+ (* alpha (- (* -1 alpha) 4)) (pow beta 2)) 4)
(+.f64 (*.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -4 binary64))) (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))
(* -1 (pow alpha 2))
(-.f64 #s(literal 0 binary64) (*.f64 alpha alpha))
(* -1 (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2))))))
(*.f64 (*.f64 alpha alpha) (-.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))))
(* (pow alpha 2) (- (/ (pow beta 2) (pow alpha 2)) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2))))))
(*.f64 (*.f64 alpha alpha) (-.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))))
(* -1 (pow alpha 2))
(-.f64 #s(literal 0 binary64) (*.f64 alpha alpha))
(* -1 (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (- (* -1 (/ (+ 4 (* -1 (/ (- (pow beta 2) 4) alpha))) alpha)) 1))
(*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64)) alpha)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)))
(* (pow alpha 2) (- (* -1 (/ (+ 4 (* -1 (/ (- (pow beta 2) 4) alpha))) alpha)) 1))
(*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64)) alpha)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* 4 alpha))
(+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 4 binary64)))
(+ 4 (* alpha (+ 4 alpha)))
(+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))))
(+ 4 (* alpha (+ 4 alpha)))
(+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha beta)) #s(literal -1 binary64)))
beta
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))

eval209.0ms (2.3%)

Compiler

Compiled 25149 to 2949 computations (88.3% saved)

prune119.0ms (1.3%)

Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New7927799
Fresh2810
Picked145
Done044
Total79523818
Accuracy
99.9%
Counts
818 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.3%
(/.f64 (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 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
46.9%
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta (*.f64 beta (*.f64 beta beta)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) (+.f64 (*.f64 beta (*.f64 beta (*.f64 beta beta))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
47.8%
(/.f64 (fma.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶49.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 2 binary64))
49.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))))) #s(literal 2 binary64))
4.2%
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal -1 binary64)))) #s(literal 2 binary64))
✓49.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓71.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
32.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
46.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓69.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓32.0%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓25.1%
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
32.6%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
9.6%
(/.f64 beta alpha)
▶26.7%
(/.f64 #s(literal 1 binary64) alpha)
30.1%
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
▶26.9%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓44.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
46.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
▶44.7%
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
✓34.5%
#s(literal 1 binary64)
✓48.3%
#s(literal 1/2 binary64)
Compiler

Compiled 734 to 359 computations (51.1% saved)

simplify244.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))
✓cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) beta)
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta))
✓cost-diff128
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) beta)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓cost-diff0
(/.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))
✓cost-diff0
(/.f64 (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 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff256
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
✓cost-diff6272
(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 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
Rules
5322×+-lowering-+.f64
5322×+-lowering-+.f32
3684×*-lowering-*.f32
3684×*-lowering-*.f64
1380×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039319
1121283
2434263
31890254
08406254
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1) 2)
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1)
(/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8))
(- beta alpha)
beta
alpha
(+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)
(* (+ beta alpha) (* (+ beta alpha) (+ beta alpha)))
(+ beta alpha)
(* (+ beta alpha) (+ beta alpha))
8
(+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))
(+ 4 (* -2 (+ beta alpha)))
4
(* -2 (+ beta alpha))
-2
1
2
(/ 1 alpha)
1
alpha
(+ 1 (/ -1 beta))
1
(/ -1 beta)
-1
beta
(* beta (+ 1/4 (/ 1/2 beta)))
beta
(+ 1/4 (/ 1/2 beta))
1/4
(/ 1/2 beta)
1/2
(/ (/ (- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))) (+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2)))))) 2)
(/ (- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))) (+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2))))))
(- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))))
1
(* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))
(/ alpha (+ alpha 2))
alpha
(+ alpha 2)
2
(/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))
(/ (+ alpha 2) alpha)
(+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2)))))
(* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2))))
(+ 1 (/ alpha (+ alpha 2)))
Outputs
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1)
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64))
(/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8))
(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)
(+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))
(* (+ beta alpha) (* (+ beta alpha) (+ beta alpha)))
(*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
(+ beta alpha)
(+.f64 beta alpha)
(* (+ beta alpha) (+ beta alpha))
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
8
#s(literal 8 binary64)
(+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+ 4 (* -2 (+ beta alpha)))
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
4
#s(literal 4 binary64)
(* -2 (+ beta alpha))
(*.f64 (+.f64 beta alpha) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(+ 1 (/ -1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
-1
#s(literal -1 binary64)
beta
(* beta (+ 1/4 (/ 1/2 beta)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
beta
(+ 1/4 (/ 1/2 beta))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta))
1/4
#s(literal 1/4 binary64)
(/ 1/2 beta)
(/.f64 #s(literal 1/2 binary64) beta)
1/2
#s(literal 1/2 binary64)
(/ (/ (- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))) (+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2)))))) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 alpha #s(literal 2 binary64)))))
(/ (- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))) (+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 alpha #s(literal 2 binary64)))))
(- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))))
1
#s(literal 1 binary64)
(* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))
(/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))
(/ alpha (+ alpha 2))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
alpha
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))
(/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))
(/ (+ alpha 2) alpha)
(/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)
(+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 alpha #s(literal 2 binary64))))
(* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2))))
(/.f64 (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 alpha #s(literal 2 binary64)))
(+ 1 (/ alpha (+ alpha 2)))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))

localize412.0ms (4.6%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))
✓accuracy99.9%
(*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))
✓accuracy99.8%
(/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))
✓accuracy94.7%
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) beta)
✓accuracy100.0%
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta))
✓accuracy99.9%
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) beta)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
✓accuracy99.9%
(*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
✓accuracy97.1%
(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))
✓accuracy84.1%
(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 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
Results
236.0ms78×5exit
96.0ms164×0valid
13.0ms14×1valid
Compiler

Compiled 365 to 39 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
backward-pass: 42.0ms (34.3% of total)
ival-div: 28.0ms (22.9% of total)
ival-add: 22.0ms (18% of total)
ival-mult: 16.0ms (13.1% of total)
compiled-spec: 7.0ms (5.7% of total)
ival-sub: 6.0ms (4.9% of total)
const: 2.0ms (1.6% of total)

series47.0ms (0.5%)

Counts
17 → 276
Calls
Call 1
Inputs
#<alt (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1)>
#<alt (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))>
#<alt (/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1) 2)>
#<alt (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8))>
#<alt (/ 1 alpha)>
#<alt (+ 1 (/ -1 beta))>
#<alt (/ -1 beta)>
#<alt (* beta (+ 1/4 (/ 1/2 beta)))>
#<alt (+ 1/4 (/ 1/2 beta))>
#<alt (/ 1/2 beta)>
#<alt (/ (/ (- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))) (+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2)))))) 2)>
#<alt (/ (- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))) (+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2))))))>
#<alt (- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))))>
#<alt (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))>
#<alt (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha)))>
#<alt (* (+ beta alpha) (+ beta alpha))>
#<alt (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))>
Outputs
#<alt (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (+ (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (+ (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (+ (* 2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (/ 1 (+ 8 (pow alpha 3))) (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3))))))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 2 (+ (* -2 (/ alpha (pow beta 2))) (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (pow beta 2))) (/ 4 (pow beta 2)))))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))))>
#<alt (- (+ 2 (+ (* -2 (/ alpha (pow beta 2))) (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (pow beta 3))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (pow beta 2))) (/ 4 (pow beta 2))))))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 3)) (+ (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)) (/ (pow alpha 3) (pow beta 3))))))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ (+ 2 (+ alpha (* -2 alpha))) beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (+ 4 (+ (* -2 alpha) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) beta))) (+ (* -2 (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (* -1 (/ (pow alpha 2) beta))))) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 4 (+ (* -2 alpha) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) beta))) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ 4 (+ (* -2 alpha) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (+ (* -1 (/ (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta)))>
#<alt (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3))))>
#<alt (+ 1 (+ (* alpha (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))>
#<alt (+ 1 (+ (* alpha (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3))))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))>
#<alt (+ 1 (+ (* alpha (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (+ 8 (pow beta 3)))))))) (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3))))) (+ (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3))))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))>
#<alt (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha)>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 4 (+ (* -2 beta) (pow beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3)))))) (* 1/2 (/ (+ (* -1 (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (+ (* -2 beta) (pow beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))))) (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))))) alpha))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha))>
#<alt (* -1 (/ alpha (+ 8 (pow alpha 3))))>
#<alt (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ alpha (pow (+ 8 (pow alpha 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ (* (+ alpha (* 2 alpha)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* -1 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2))>
#<alt (/ beta (+ 8 (pow beta 3)))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))>
#<alt (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))>
#<alt (/ -1 (pow alpha 2))>
#<alt (/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))>
#<alt (/ -1 (pow alpha 2))>
#<alt (/ (- (* -1 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))>
#<alt (/ (- (* -1 (/ (- (+ (* -2 (/ (pow beta 2) alpha)) (+ (* -1 beta) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))>
#<alt (/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (+ (* 8 (/ 1 alpha)) (+ (/ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (pow beta 3) alpha)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))>
#<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 beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 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 (/ 1/2 beta)>
#<alt (/ (+ 1/2 (* 1/4 beta)) beta)>
#<alt (/ (+ 1/2 (* 1/4 beta)) beta)>
#<alt (/ (+ 1/2 (* 1/4 beta)) beta)>
#<alt 1/4>
#<alt (+ 1/4 (* 1/2 (/ 1 beta)))>
#<alt (+ 1/4 (* 1/2 (/ 1 beta)))>
#<alt (+ 1/4 (* 1/2 (/ 1 beta)))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/2 (/ 1 beta)))>
#<alt (+ 1/4 (* 1/2 (/ 1 beta)))>
#<alt (+ 1/4 (* 1/2 (/ 1 beta)))>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt (/ 1/2 beta)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 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>
#<alt (+ 1 (* -1/8 (pow alpha 3)))>
#<alt (+ 1 (* (pow alpha 3) (- (* 3/16 alpha) 1/8)))>
#<alt (+ 1 (* (pow alpha 3) (- (* alpha (+ 3/16 (* -3/16 alpha))) 1/8)))>
#<alt (/ 6 alpha)>
#<alt (/ (- 6 (* 24 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 6 (/ 80 (pow alpha 2))) (* 24 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 6 (/ 80 (pow alpha 2))) (+ (* 24 (/ 1 alpha)) (* 240 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 6 alpha)>
#<alt (* -1 (/ (- (* 24 (/ 1 alpha)) 6) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 80 (/ 1 alpha)) 24) alpha)) 6) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 240 (/ 1 alpha)) 80) alpha)) 24) alpha)) 6) alpha))>
#<alt (* 1/8 (pow alpha 3))>
#<alt (* (pow alpha 3) (+ 1/8 (* -3/16 alpha)))>
#<alt (* (pow alpha 3) (+ 1/8 (* alpha (- (* 3/16 alpha) 3/16))))>
#<alt (* (pow alpha 3) (+ 1/8 (* alpha (- (* alpha (+ 3/16 (* -5/32 alpha))) 3/16))))>
#<alt 1>
#<alt (- 1 (* 6 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 24 (pow alpha 2))) (* 6 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 24 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 80 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 6 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 6 (* 24 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 24 (* 80 (/ 1 alpha))) alpha))) alpha)))>
#<alt (pow alpha 3)>
#<alt (+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3))>
#<alt (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3))>
#<alt (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3))))))))>
#<alt (pow beta 3)>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))>
#<alt (pow beta 3)>
#<alt (+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3))>
#<alt (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3))>
#<alt (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3))>
#<alt (pow alpha 3)>
#<alt (* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))>
#<alt (* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3))))))))>
#<alt (pow alpha 3)>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))>
#<alt (pow alpha 2)>
#<alt (+ (* 2 (* alpha beta)) (pow alpha 2))>
#<alt (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))>
#<alt (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))>
#<alt (pow beta 2)>
#<alt (+ (* 2 (* alpha beta)) (pow beta 2))>
#<alt (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))>
#<alt (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))>
#<alt (* 1/4 (pow alpha 2))>
#<alt (* (pow alpha 2) (+ 1/4 (* -1/4 alpha)))>
#<alt (* (pow alpha 2) (+ 1/4 (* alpha (- (* 3/16 alpha) 1/4))))>
#<alt (* (pow alpha 2) (+ 1/4 (* alpha (- (* alpha (+ 3/16 (* -1/8 alpha))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 12 (pow alpha 2))) (* 4 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 12 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 32 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 4 (* 12 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 1 alpha))) alpha))) alpha)))>
Calls

69 calls:

TimeVariablePointExpression
4.0ms
beta
@0
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1)
4.0ms
alpha
@-inf
(- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))))
2.0ms
alpha
@0
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1)
2.0ms
alpha
@-inf
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1)
2.0ms
alpha
@inf
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1)

rewrite322.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3278×fma-lowering-fma.f32
3278×fma-lowering-fma.f64
2322×*-lowering-*.f32
2322×*-lowering-*.f64
2146×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039228
1311144
23446144
08341144
Stop Event
1×iter limit
1×node limit
Counts
17 → 475
Calls
Call 1
Inputs
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1)
(+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* -2 (+ beta alpha))))) 1) 2)
(/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8))
(/ 1 alpha)
(+ 1 (/ -1 beta))
(/ -1 beta)
(* beta (+ 1/4 (/ 1/2 beta)))
(+ 1/4 (/ 1/2 beta))
(/ 1/2 beta)
(/ (/ (- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))) (+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2)))))) 2)
(/ (- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))) (+ 1 (* (/ alpha (+ alpha 2)) (+ 1 (/ alpha (+ alpha 2))))))
(- 1 (* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))))
(* (/ alpha (+ alpha 2)) (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))
(* (+ beta alpha) (* (+ beta alpha) (+ beta alpha)))
(* (+ beta alpha) (+ beta alpha))
(/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))
Outputs
(+.f64 (/.f64 (+.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 beta alpha))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (+.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 beta alpha))))
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(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) (*.f64 (-.f64 beta alpha) (+.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 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.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 beta alpha))) #s(literal -1 binary64))))
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(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.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 beta alpha))) #s(literal 1 binary64))) #s(literal -1 binary64))
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(fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) beta (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) alpha))
(fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) alpha (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) beta))
(fma.f64 (*.f64 beta (+.f64 beta alpha)) (+.f64 beta alpha) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (+.f64 beta alpha)))
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(*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
(*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))
(*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3/2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3/2 binary64)))
(+.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha)))
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha)))
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(fma.f64 beta (+.f64 beta alpha) (*.f64 alpha (+.f64 beta alpha)))
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(fma.f64 (+.f64 beta alpha) beta (*.f64 alpha (+.f64 beta alpha)))
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(/.f64 (*.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 beta beta) (*.f64 alpha (-.f64 alpha beta)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)))
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(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha))
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(*.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) alpha)
(*.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha))) (-.f64 #s(literal 0 binary64) alpha))

simplify328.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
3688×+-lowering-+.f64
3688×+-lowering-+.f32
3324×*-lowering-*.f32
3324×*-lowering-*.f64
1734×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011219030
141037918
081237918
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))
(+ 1 (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))
(+ 1 (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (+ (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))
(+ 1 (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (+ (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (+ (* 2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (/ 1 (+ 8 (pow alpha 3))) (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3))))))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -2 (/ alpha (pow beta 2))) (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (pow beta 2))) (/ 4 (pow beta 2)))))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))))
(- (+ 2 (+ (* -2 (/ alpha (pow beta 2))) (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (pow beta 3))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (pow beta 2))) (/ 4 (pow beta 2))))))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 3)) (+ (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)) (/ (pow alpha 3) (pow beta 3))))))))))
2
(- (+ 2 (* -1 (/ (+ 2 (+ alpha (* -2 alpha))) beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (+ 4 (+ (* -2 alpha) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) beta))) (+ (* -2 (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (* -1 (/ (pow alpha 2) beta))))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 4 (+ (* -2 alpha) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) beta))) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ 4 (+ (* -2 alpha) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (+ (* -1 (/ (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta)))
(+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3))))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (+ 8 (pow beta 3)))))))) (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3))))) (+ (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3))))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))
(/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha)
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)) (/ (* beta (- (* 2 beta) 2)) alpha)))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)) (+ (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha)
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)) (+ (* -1 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha)))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha)
(* -1 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha))
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(+ 4 (+ (* -2 alpha) (+ (* beta (- (+ beta (* 2 alpha)) 2)) (pow alpha 2))))
(pow beta 2)
(* (pow beta 2) (- (+ 1 (* 2 (/ alpha beta))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ 1 (+ (* -2 (/ alpha (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (/ 4 (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ 1 (+ (* -2 (/ alpha (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (/ 4 (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))) (* 2 (/ 1 beta))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (* -2 alpha)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 alpha) (* -1 (/ (+ 4 (+ (* -2 alpha) (pow alpha 2))) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 alpha) (* -1 (/ (+ 4 (+ (* -2 alpha) (pow alpha 2))) beta)))) beta))))
(+ 4 (+ (* -2 beta) (pow beta 2)))
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(+ 4 (+ (* -2 beta) (+ (* alpha (- (+ alpha (* 2 beta)) 2)) (pow beta 2))))
(+ 4 (+ (* -2 beta) (+ (* alpha (- (+ alpha (* 2 beta)) 2)) (pow beta 2))))
(pow alpha 2)
(* (pow alpha 2) (- (+ 1 (* 2 (/ beta alpha))) (* 2 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1 (+ (* -2 (/ beta (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (/ 4 (pow alpha 2)) (/ (pow beta 2) (pow alpha 2)))))) (* 2 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1 (+ (* -2 (/ beta (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (/ 4 (pow alpha 2)) (/ (pow beta 2) (pow alpha 2)))))) (* 2 (/ 1 alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (* -2 beta)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 beta) (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 beta) (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)))) alpha))))
(* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3))))))
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1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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1
(+ 1 (* 1/2 (/ (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))) beta)))
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(* 1/2 (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))
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(+ (* 1/2 (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (+ 8 (pow beta 3)))))))) (* 1/2 (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (+ (* -2 beta) (pow beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))))))))
(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha)
(* -1/2 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (+ (* -2 beta) (pow beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 4 (+ (* -2 beta) (pow beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3)))))) (* 1/2 (/ (+ (* -1 (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (+ (* -2 beta) (pow beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))))) (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))))) alpha))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ alpha (+ 8 (pow alpha 3))))
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ alpha (pow (+ 8 (pow alpha 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ (* (+ alpha (* 2 alpha)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* -1 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2))
(/ beta (+ 8 (pow beta 3)))
(+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))
(/ -1 (pow alpha 2))
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))
(/ -1 (pow alpha 2))
(/ (- (* -1 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -2 (/ (pow beta 2) alpha)) (+ (* -1 beta) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (+ (* 8 (/ 1 alpha)) (+ (/ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (pow beta 3) alpha)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ 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 beta)
(/ (- beta 1) beta)
(/ (- beta 1) beta)
(/ (- beta 1) beta)
1
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
1
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
1/2
(+ 1/2 (* 1/4 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))))
(/ 1/2 beta)
(/ (+ 1/2 (* 1/4 beta)) beta)
(/ (+ 1/2 (* 1/4 beta)) beta)
(/ (+ 1/2 (* 1/4 beta)) beta)
1/4
(+ 1/4 (* 1/2 (/ 1 beta)))
(+ 1/4 (* 1/2 (/ 1 beta)))
(+ 1/4 (* 1/2 (/ 1 beta)))
1/4
(+ 1/4 (* 1/2 (/ 1 beta)))
(+ 1/4 (* 1/2 (/ 1 beta)))
(+ 1/4 (* 1/2 (/ 1 beta)))
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
(/ 1/2 beta)
1/2
(+ 1/2 (* -1/4 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
(+ 1 (* -1/8 (pow alpha 3)))
(+ 1 (* (pow alpha 3) (- (* 3/16 alpha) 1/8)))
(+ 1 (* (pow alpha 3) (- (* alpha (+ 3/16 (* -3/16 alpha))) 1/8)))
(/ 6 alpha)
(/ (- 6 (* 24 (/ 1 alpha))) alpha)
(/ (- (+ 6 (/ 80 (pow alpha 2))) (* 24 (/ 1 alpha))) alpha)
(/ (- (+ 6 (/ 80 (pow alpha 2))) (+ (* 24 (/ 1 alpha)) (* 240 (/ 1 (pow alpha 3))))) alpha)
(/ 6 alpha)
(* -1 (/ (- (* 24 (/ 1 alpha)) 6) alpha))
(* -1 (/ (- (* -1 (/ (- (* 80 (/ 1 alpha)) 24) alpha)) 6) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 240 (/ 1 alpha)) 80) alpha)) 24) alpha)) 6) alpha))
(* 1/8 (pow alpha 3))
(* (pow alpha 3) (+ 1/8 (* -3/16 alpha)))
(* (pow alpha 3) (+ 1/8 (* alpha (- (* 3/16 alpha) 3/16))))
(* (pow alpha 3) (+ 1/8 (* alpha (- (* alpha (+ 3/16 (* -5/32 alpha))) 3/16))))
1
(- 1 (* 6 (/ 1 alpha)))
(- (+ 1 (/ 24 (pow alpha 2))) (* 6 (/ 1 alpha)))
(- (+ 1 (/ 24 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 80 (/ 1 (pow alpha 3)))))
1
(- 1 (* 6 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 6 (* 24 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 24 (* 80 (/ 1 alpha))) alpha))) alpha)))
(pow alpha 3)
(+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3))))))))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(pow beta 3)
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3))))))))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(pow alpha 2)
(+ (* 2 (* alpha beta)) (pow alpha 2))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(pow beta 2)
(+ (* 2 (* alpha beta)) (pow beta 2))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* 1/4 (pow alpha 2))
(* (pow alpha 2) (+ 1/4 (* -1/4 alpha)))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* 3/16 alpha) 1/4))))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* alpha (+ 3/16 (* -1/8 alpha))) 1/4))))
1
(- 1 (* 4 (/ 1 alpha)))
(- (+ 1 (/ 12 (pow alpha 2))) (* 4 (/ 1 alpha)))
(- (+ 1 (/ 12 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 32 (/ 1 (pow alpha 3)))))
1
(- 1 (* 4 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 4 (* 12 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 1 alpha))) alpha))) alpha)))
Outputs
(+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) (*.f64 alpha alpha))) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))))
(+ 1 (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) (*.f64 alpha alpha))) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))) (*.f64 beta (+.f64 (+.f64 (/.f64 (*.f64 alpha #s(literal -2 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))) (/.f64 (*.f64 alpha (+.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))))) (/.f64 (*.f64 (*.f64 alpha (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) (*.f64 alpha alpha))) (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))))))
(+ 1 (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (+ (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))
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(/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha)
(/.f64 (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta)) alpha)
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)) (/ (* beta (- (* 2 beta) 2)) alpha)))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)) (+ (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha)
(/.f64 (-.f64 (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (-.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) alpha) (*.f64 beta (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) (*.f64 beta beta)) (*.f64 alpha alpha)))) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) (*.f64 beta beta)) alpha))) (+.f64 (-.f64 (*.f64 #s(literal -3 binary64) beta) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 beta beta)) alpha) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) beta) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta))) alpha) (*.f64 (*.f64 #s(literal 3 binary64) beta) (/.f64 (+.f64 (-.f64 (-.f64 (*.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) (*.f64 beta beta))) (*.f64 #s(literal -3 binary64) (*.f64 beta beta))) (*.f64 (*.f64 #s(literal -3 binary64) beta) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta)))) (*.f64 alpha alpha)))) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta))) (*.f64 alpha alpha)))))) alpha)
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)) (+ (* -1 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha)))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha)
(/.f64 (-.f64 (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) alpha) (*.f64 beta (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) (*.f64 beta beta)) (*.f64 alpha alpha)))) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta))) (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) beta) (-.f64 (*.f64 beta (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) (*.f64 beta beta))) (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) beta) (+.f64 (-.f64 (-.f64 (*.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) (*.f64 beta beta))) (*.f64 #s(literal -3 binary64) (*.f64 beta beta))) (*.f64 (*.f64 #s(literal -3 binary64) beta) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta)))) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (+.f64 (-.f64 (-.f64 (*.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) (*.f64 beta beta))) (*.f64 #s(literal -3 binary64) (*.f64 beta beta))) (*.f64 (*.f64 #s(literal -3 binary64) beta) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta))))))) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) (*.f64 beta beta)) alpha))) (+.f64 (-.f64 (*.f64 #s(literal -3 binary64) beta) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 beta beta)) alpha) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) beta) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta))) alpha) (*.f64 (*.f64 #s(literal 3 binary64) beta) (/.f64 (+.f64 (-.f64 (-.f64 (*.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) (*.f64 beta beta))) (*.f64 #s(literal -3 binary64) (*.f64 beta beta))) (*.f64 (*.f64 #s(literal -3 binary64) beta) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta)))) (*.f64 alpha alpha)))) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (+.f64 (-.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) beta))) (*.f64 alpha alpha)))))) alpha)
(* -1 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha))
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(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha)
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(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha)
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(* -1 (/ (- (* 24 (/ 1 alpha)) 6) alpha))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 24 binary64) alpha) #s(literal -6 binary64))) alpha)
(* -1 (/ (- (* -1 (/ (- (* 80 (/ 1 alpha)) 24) alpha)) 6) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 80 binary64) alpha) #s(literal -24 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 240 (/ 1 alpha)) 80) alpha)) 24) alpha)) 6) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 240 binary64) alpha) #s(literal -80 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -24 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* 1/8 (pow alpha 3))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 1/8 binary64))
(* (pow alpha 3) (+ 1/8 (* -3/16 alpha)))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -3/16 binary64))))
(* (pow alpha 3) (+ 1/8 (* alpha (- (* 3/16 alpha) 3/16))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1/8 binary64) (*.f64 alpha (+.f64 (*.f64 alpha #s(literal 3/16 binary64)) #s(literal -3/16 binary64)))))
(* (pow alpha 3) (+ 1/8 (* alpha (- (* alpha (+ 3/16 (* -5/32 alpha))) 3/16))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1/8 binary64) (*.f64 alpha (+.f64 (*.f64 alpha (+.f64 #s(literal 3/16 binary64) (*.f64 alpha #s(literal -5/32 binary64)))) #s(literal -3/16 binary64)))))
1
#s(literal 1 binary64)
(- 1 (* 6 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) alpha))
(- (+ 1 (/ 24 (pow alpha 2))) (* 6 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 24 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -6 binary64) alpha)))
(- (+ 1 (/ 24 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 80 (/ 1 (pow alpha 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 80 binary64) (*.f64 alpha (*.f64 alpha alpha)))))
1
#s(literal 1 binary64)
(- 1 (* 6 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) alpha))
(+ 1 (* -1 (/ (- 6 (* 24 (/ 1 alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 24 (* 80 (/ 1 alpha))) alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -80 binary64) alpha)) alpha)) alpha))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3))
(+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha))))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3))
(+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (+.f64 (*.f64 alpha alpha) (*.f64 beta (*.f64 #s(literal 3 binary64) alpha))))))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3))
(+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (+.f64 (*.f64 alpha alpha) (*.f64 beta (+.f64 alpha (+.f64 beta (*.f64 alpha #s(literal 2 binary64)))))))))
(pow beta 3)
(*.f64 beta (*.f64 beta beta))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 alpha beta))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (*.f64 beta beta))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3))))))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (*.f64 beta beta))) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta)))))))
(pow beta 3)
(*.f64 beta (*.f64 beta beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) alpha) beta) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 (*.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal -3 binary64)) beta))) (-.f64 #s(literal 0 binary64) beta)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 (*.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) beta)) (*.f64 alpha alpha)) beta))) (-.f64 #s(literal 0 binary64) beta)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))))
(pow beta 3)
(*.f64 beta (*.f64 beta beta))
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3))
(+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 #s(literal 3 binary64) (*.f64 beta beta))))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3))
(+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 (*.f64 beta beta) (*.f64 alpha (*.f64 #s(literal 3 binary64) beta))))))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3))
(+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha (*.f64 #s(literal 3 binary64) beta)))))))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 beta alpha))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta beta)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3))))))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta beta)) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))))))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 alpha (*.f64 alpha alpha))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 beta (-.f64 (*.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (*.f64 beta beta) #s(literal -3 binary64)) alpha))) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 alpha (*.f64 alpha alpha))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 beta (-.f64 (*.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 beta beta)) (/.f64 (*.f64 beta (*.f64 beta beta)) alpha)) (*.f64 beta beta)) alpha))) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 alpha (*.f64 alpha alpha))))
(pow alpha 2)
(*.f64 alpha alpha)
(+ (* 2 (* alpha beta)) (pow alpha 2))
(+.f64 (*.f64 alpha alpha) (*.f64 (*.f64 alpha #s(literal 2 binary64)) beta))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(+.f64 (*.f64 alpha alpha) (*.f64 beta (+.f64 beta (*.f64 alpha #s(literal 2 binary64)))))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(+.f64 (*.f64 alpha alpha) (*.f64 beta (+.f64 beta (*.f64 alpha #s(literal 2 binary64)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 alpha beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 alpha beta))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 alpha beta))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 alpha beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 alpha #s(literal -2 binary64)) (/.f64 (*.f64 alpha alpha) beta)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 alpha #s(literal -2 binary64)) (/.f64 (*.f64 alpha alpha) beta)) beta)))
(pow beta 2)
(*.f64 beta beta)
(+ (* 2 (* alpha beta)) (pow beta 2))
(*.f64 beta (+.f64 beta (*.f64 alpha #s(literal 2 binary64))))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha (*.f64 #s(literal 2 binary64) beta))))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha (*.f64 #s(literal 2 binary64) beta))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) beta) (/.f64 (*.f64 beta beta) alpha)) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) beta) (/.f64 (*.f64 beta beta) alpha)) alpha)))
(* 1/4 (pow alpha 2))
(*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64))
(* (pow alpha 2) (+ 1/4 (* -1/4 alpha)))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1/4 binary64) (*.f64 alpha #s(literal -1/4 binary64))))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* 3/16 alpha) 1/4))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1/4 binary64) (*.f64 alpha (+.f64 (*.f64 alpha #s(literal 3/16 binary64)) #s(literal -1/4 binary64)))))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* alpha (+ 3/16 (* -1/8 alpha))) 1/4))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1/4 binary64) (*.f64 alpha (+.f64 (*.f64 alpha (+.f64 (*.f64 alpha #s(literal -1/8 binary64)) #s(literal 3/16 binary64))) #s(literal -1/4 binary64)))))
1
#s(literal 1 binary64)
(- 1 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) alpha))
(- (+ 1 (/ 12 (pow alpha 2))) (* 4 (/ 1 alpha)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal -4 binary64) alpha))
(- (+ 1 (/ 12 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 32 (/ 1 (pow alpha 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 32 binary64) (*.f64 alpha (*.f64 alpha alpha)))))
1
#s(literal 1 binary64)
(- 1 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) alpha))
(+ 1 (* -1 (/ (- 4 (* 12 (/ 1 alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -12 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 1 alpha))) alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -32 binary64) alpha)) alpha)) alpha))

eval125.0ms (1.4%)

Compiler

Compiled 40285 to 3322 computations (91.8% saved)

prune101.0ms (1.1%)

Pruning

20 alts after pruning (9 fresh and 11 done)

PrunedKeptTotal
New7932795
Fresh3710
Picked235
Done088
Total79820818
Accuracy
100.0%
Counts
818 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 2 binary64))
4.2%
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal -1 binary64)))) #s(literal 2 binary64))
✓49.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
49.2%
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
✓71.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
32.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
46.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓69.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓32.0%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓25.1%
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
32.6%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
9.6%
(/.f64 beta alpha)
✓26.7%
(/.f64 #s(literal 1 binary64) alpha)
30.1%
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
✓26.9%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓44.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
46.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓44.7%
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
✓34.5%
#s(literal 1 binary64)
✓48.3%
#s(literal 1/2 binary64)
Compiler

Compiled 1174 to 338 computations (71.2% saved)

regimes48.0ms (0.5%)

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

5 calls:

10.0ms
beta
10.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
9.0ms
alpha
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
94.8%2alpha
71.8%1beta
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
alpha
Results
AccuracySegmentsBranch
93.2%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
alpha
Results
AccuracySegmentsBranch
76.8%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

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 alpha #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) alpha)
Calls

2 calls:

3.0ms
beta
3.0ms
alpha
Results
AccuracySegmentsBranch
68.3%2beta
70.7%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
Outputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) alpha)
Calls

1 calls:

2.0ms
alpha
Results
AccuracySegmentsBranch
70.0%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
alpha
1.0ms
beta
Results
AccuracySegmentsBranch
68.0%2beta
52.8%2alpha
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
beta
1.0ms
alpha
Results
AccuracySegmentsBranch
48.3%1alpha
48.3%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999781297
-0.999393911580566
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.1888167035150275
3297.848563131478
Results
10.0ms128×0valid
Compiler

Compiled 180 to 134 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.6% of total)
ival-add: 2.0ms (38.6% of total)
ival-sub: 1.0ms (19.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.1888167035150275
3297.848563131478
Results
9.0ms128×0valid
Compiler

Compiled 148 to 118 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (44.1% of total)
ival-add: 2.0ms (44.1% of total)
ival-sub: 1.0ms (22% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.1888167035150275
3297.848563131478
Results
10.0ms128×0valid
Compiler

Compiled 132 to 110 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (44.2% of total)
ival-add: 2.0ms (44.2% of total)
ival-sub: 1.0ms (22.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.1888167035150275
3297.848563131478
Results
10.0ms128×0valid
Compiler

Compiled 100 to 86 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (42.6% of total)
ival-add: 2.0ms (42.6% of total)
ival-sub: 1.0ms (21.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.6360064929626403
37.76327931773636
Results
9.0ms52×1valid
4.0ms60×0valid
Compiler

Compiled 76 to 70 computations (7.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (27.8% of total)
ival-add: 2.0ms (27.8% of total)
ival-sub: 1.0ms (13.9% of total)
backward-pass: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
4×*-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03789
15089
25489
35689
45789
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 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 alpha #s(literal 3200 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 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 -4501347827556811/4503599627370496 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 alpha #s(literal 3200 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 3200 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness688.0ms (7.7%)

Rules
4230×+-lowering-+.f64
4230×+-lowering-+.f32
3826×*-lowering-*.f32
3826×*-lowering-*.f64
2786×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07364179
125723638
084603638
04232307
114822049
255462004
080582004
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 236 to 148 computations (37.3% saved)

preprocess42.0ms (0.5%)

Compiler

Compiled 212 to 94 computations (55.7% saved)

end0.0ms (0%)

Profiling

Loading profile data...