Octave 3.8, jcobi/1

Time bar (total: 11.3s)

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)

sample1.4s (12.4%)

Results
579.0ms6008×0valid
366.0ms1886×1valid
126.0ms362×2valid
Precisions
Click to see histograms. Total time spent on operations: 686.0ms
ival-add: 251.0ms (36.6% of total)
ival-div: 177.0ms (25.8% of total)
ival-sub: 95.0ms (13.8% of total)
ival->: 89.0ms (13% of total)
backward-pass: 46.0ms (6.7% of total)
const: 18.0ms (2.6% of total)
ival-and: 10.0ms (1.5% of total)
Bogosity

preprocess227.0ms (2%)

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)

explain139.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-0-(+.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
44.0ms376×0valid
27.0ms116×1valid
6.0ms20×2valid
Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-add: 12.0ms (35.1% of total)
ival-div: 9.0ms (26.3% of total)
ival-sub: 9.0ms (26.3% of total)
backward-pass: 4.0ms (11.7% of total)
const: 1.0ms (2.9% of total)

eval12.0ms (0.1%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.4%
(/.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)

simplify218.0ms (1.9%)

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)

localize53.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 alpha beta)
✓accuracy99.9%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓accuracy75.5%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
20.0ms58×1valid
18.0ms188×0valid
3.0ms10×2valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 6.0ms (38.1% of total)
ival-add: 5.0ms (31.8% of total)
ival-sub: 2.0ms (12.7% of total)
backward-pass: 2.0ms (12.7% of total)
const: 1.0ms (6.4% of total)

series12.0ms (0.1%)

Counts
6 → 144
Calls
Call 1
Inputs
#<alt (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)>
#<alt (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)>
#<alt (/ (- beta alpha) (+ (+ alpha beta) 2))>
#<alt (- beta alpha)>
#<alt (+ alpha beta)>
#<alt (+ (+ alpha beta) 2)>
Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
Calls

36 calls:

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

rewrite319.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
4144×/-lowering-/.f32
4144×/-lowering-/.f64
3890×*-lowering-*.f32
3890×*-lowering-*.f64
1972×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
18640
277640
0851540
Stop Event
1×iter limit
1×node limit
Counts
6 → 337
Calls
Call 1
Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(/ (- beta alpha) (+ (+ alpha beta) 2))
(- beta alpha)
(+ alpha beta)
(+ (+ alpha beta) 2)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) alpha) (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (/.f64 beta (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
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(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 beta alpha) (+.f64 (-.f64 #s(literal 0 binary64) beta) alpha)) (+.f64 (-.f64 #s(literal 0 binary64) beta) alpha))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 alpha alpha) (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (+.f64 (*.f64 beta beta) (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 #s(literal 0 binary64) (-.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (*.f64 beta beta))) (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 alpha beta))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
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(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
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(fma.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 alpha alpha) (*.f64 beta (-.f64 beta alpha)))) #s(literal 2 binary64))
(fma.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (*.f64 beta (*.f64 beta beta))) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
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(*.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))))

simplify298.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2810×+-lowering-+.f64
2810×+-lowering-+.f32
2660×*-lowering-*.f32
2660×*-lowering-*.f64
1798×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04332427
115182236
256282187
081422187
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 alpha #s(literal 2 binary64)))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 alpha #s(literal 2 binary64)))) beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 alpha #s(literal 2 binary64)))) beta) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (*.f64 beta (*.f64 beta beta)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha #s(literal -1/2 binary64))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (*.f64 alpha #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha)))))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) alpha)) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
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#s(literal 2 binary64)
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2
#s(literal 2 binary64)
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(* -1 (/ alpha (+ 2 alpha)))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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#s(literal -1 binary64)
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(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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)) 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 #s(literal 0 binary64) (/.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)) 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))))
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)))))
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 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))

eval60.0ms (0.5%)

Compiler

Compiled 15555 to 2038 computations (86.9% saved)

prune94.0ms (0.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New46615481
Fresh000
Picked011
Done000
Total46616482
Accuracy
99.9%
Counts
482 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(/.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 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
75.2%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
▶51.3%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
27.2%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
52.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓75.4%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶72.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
30.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
▶72.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶75.4%
(/.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))
23.9%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
22.2%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha)))))))) alpha)
27.7%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
28.9%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
28.9%
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
▶35.2%
#s(literal 1 binary64)
Compiler

Compiled 645 to 372 computations (42.3% saved)

simplify211.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 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-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))
✓cost-diff128
(/.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))
Rules
1782×*-lowering-*.f32
1782×*-lowering-*.f64
1470×--lowering--.f32
1470×--lowering--.f64
1436×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029287
166271
2139268
3360268
41391260
56057260
08025260
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
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)
(+ (/ (- beta alpha) (+ beta 2)) 1)
(/ (- beta alpha) (+ beta 2))
(- beta alpha)
beta
alpha
(+ beta 2)
2
1
(/ (/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
(/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
(+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2)))))
1
(* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))
(/ (- beta alpha) (- -2 (+ beta alpha)))
(- beta alpha)
beta
alpha
(- -2 (+ beta alpha))
-2
(+ beta alpha)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(+ beta (+ alpha 2))
(+ alpha 2)
2
(+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))
Outputs
(/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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)
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64))
(+ (/ (- beta alpha) (+ beta 2)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))))
(/ (- beta alpha) (+ beta 2))
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ (/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))))
1
#s(literal 1 binary64)
(* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))
(/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)))
(/ (- beta alpha) (- -2 (+ beta alpha)))
(/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(- -2 (+ beta alpha))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
-2
#s(literal -2 binary64)
(+ beta alpha)
(+.f64 beta alpha)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+ beta (+ alpha 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))

localize220.0ms (1.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy99.9%
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
✓accuracy76.8%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
✓accuracy52.4%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
✓accuracy100.0%
(-.f64 beta alpha)
✓accuracy100.0%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 beta #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (-.f64 beta alpha) (+.f64 beta #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 alpha #s(literal 2 binary64))
✓accuracy99.9%
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓accuracy75.5%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))
Results
83.0ms117×1valid
40.0ms126×0valid
12.0ms13×2valid
Compiler

Compiled 292 to 30 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-div: 35.0ms (45.2% of total)
ival-add: 23.0ms (29.7% of total)
backward-pass: 10.0ms (12.9% of total)
ival-sub: 5.0ms (6.5% of total)
ival-mult: 3.0ms (3.9% of total)
const: 1.0ms (1.3% of total)

series74.0ms (0.7%)

Counts
20 → 408
Calls
Call 1
Inputs
#<alt (/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)>
#<alt (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)>
#<alt (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))>
#<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 (/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)>
#<alt (+ (/ (- beta alpha) (+ beta 2)) 1)>
#<alt (/ (- beta alpha) (+ beta 2))>
#<alt (- beta alpha)>
#<alt (/ (/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)>
#<alt (/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))>
#<alt (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2)))))>
#<alt (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))>
#<alt (+ alpha 2)>
#<alt (+ beta 2)>
#<alt (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))>
#<alt (/ (- beta alpha) (+ beta (+ alpha 2)))>
Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 (/ (+ 2 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 (- 1 (* 1/2 alpha)))>
#<alt (+ (* 1/2 (* beta (+ 1/2 (* 1/4 alpha)))) (* 1/2 (- 1 (* 1/2 alpha))))>
#<alt (+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1/8 alpha) 1/4))) (* 1/2 (+ 1/2 (* 1/4 alpha))))))>
#<alt (+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (+ 1/2 (* 1/4 alpha))) (* beta (+ (* 1/2 (* beta (+ 1/8 (* 1/16 alpha)))) (* 1/2 (- (* -1/8 alpha) 1/4)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 alpha) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (+ 4 (* 2 alpha)) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* 1/2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (* 1/2 (/ (- (* -4 alpha) 8) (pow beta 3))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (* -1/2 (/ alpha (+ 2 beta)))>
#<alt (* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* -1/2 (/ alpha (+ 2 beta)))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (- 1 (* 1/2 alpha))>
#<alt (- (+ 1 (* beta (+ 1/2 (* 1/4 alpha)))) (* 1/2 alpha))>
#<alt (- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (* -1/8 alpha) 1/4)))))) (* 1/2 alpha))>
#<alt (- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (+ (* -1/8 alpha) (* beta (+ 1/8 (* 1/16 alpha)))) 1/4)))))) (* 1/2 alpha))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 2 (+ (* 2 (/ alpha (pow beta 2))) (/ 4 (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 2 (+ (* -4 (/ alpha (pow beta 3))) (+ (* 2 (/ alpha (pow beta 2))) (/ 4 (pow beta 2))))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ alpha beta))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))>
#<alt (* -1/2 alpha)>
#<alt (+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha))))>
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha))))>
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))>
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#<alt (- (+ (* -1 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) (+ (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (pow beta 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 3)) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 3))))) 1)>
#<alt -1>
#<alt (- (* -1 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) 1)>
#<alt (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (* -1 (pow alpha 2)) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (+ 4 (* 2 alpha))) beta)) 1)>
#<alt (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (- (* -1 (pow alpha 2)) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2))))) beta)) (+ (* -1 (pow alpha 2)) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta))) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (+ 4 (* 2 alpha))) beta)) 1)>
#<alt (* -1 (/ (pow beta 2) (pow (+ 2 beta) 2)))>
#<alt (+ (* -1 (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 2))))>
#<alt (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (* -1 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))))))>
#<alt (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* -1 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* alpha (+ (* -1 (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2)))))) (* -1 (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) 1)>
#<alt (- (+ (* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (* -1 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2)))) 1)>
#<alt (- (+ (* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (+ (* -1 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 3)) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 3))))) 1)>
#<alt -1>
#<alt (- (* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (+ 4 (* 2 beta))) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2))))) alpha)) (+ (* -1 (pow beta 2)) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (+ 4 (* 2 beta))) alpha)) 1)>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (+ 1 (/ alpha (+ 2 alpha)))>
#<alt (+ 1 (+ (* -1 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))))>
#<alt (+ 1 (+ (* beta (+ (* -1 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) (/ alpha (+ 2 alpha))))>
#<alt (+ 1 (+ (* beta (+ (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* -1 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))) (/ alpha (+ 2 alpha))))>
#<alt (* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))>
#<alt (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)>
#<alt (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)>
#<alt (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))))) beta)>
#<alt (/ (- alpha (* -1 (+ 2 alpha))) beta)>
#<alt (* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))) beta))>
#<alt (+ 1 (* -1 (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))>
#<alt (+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* -1 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt (+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* alpha (+ (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))) (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 2 (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))>
#<alt (+ 2 (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 2 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha)))) (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 2 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) alpha)) (* -1 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (* -1 (+ 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)>
Calls

102 calls:

TimeVariablePointExpression
11.0ms
alpha
@-inf
(+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2)))))
5.0ms
beta
@-inf
(/ (/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
5.0ms
alpha
@0
(/ (/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
5.0ms
beta
@0
(/ (/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
3.0ms
beta
@inf
(/ (/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)

rewrite381.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
2656×*-lowering-*.f32
2656×*-lowering-*.f64
2554×fma-lowering-fma.f32
2554×fma-lowering-fma.f64
2536×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029186
1259166
22930163
08805163
Stop Event
1×iter limit
1×node limit
Counts
20 → 840
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)))
(/ (+ beta (+ alpha 2)) (- beta alpha))
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
(+ 2 beta)
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)
(+ (/ (- beta alpha) (+ beta 2)) 1)
(/ (- beta alpha) (+ beta 2))
(- beta alpha)
(/ (/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
(/ (+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
(+ 1 (* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2)))))
(* (/ (- beta alpha) (- -2 (+ beta alpha))) (/ (- beta alpha) (+ beta (+ alpha 2))))
(+ alpha 2)
(+ beta 2)
(+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))
(/ (- beta alpha) (+ beta (+ alpha 2)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #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 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))) (neg.f64 (*.f64 #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) (neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))) (*.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 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (*.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)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (+.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 (-.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)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))))
(/.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 (*.f64 (-.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))) #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 #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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))
(/.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)))
(/.f64 (/.f64 (-.f64 #s(literal 1 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 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(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))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (*.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)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) (+.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)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))))
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(/.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)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (*.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)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 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 1 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 (/.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))
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (/.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)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(pow.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
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(+.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) alpha (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha)))
(+.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (/.f64 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))))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))) (/.f64 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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (/.f64 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 (fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))
(+.f64 (fma.f64 (/.f64 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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) alpha (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha)))
(+.f64 (fma.f64 (/.f64 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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (neg.f64 (*.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (/.f64 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))))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))) (/.f64 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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (/.f64 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 (fma.f64 (/.f64 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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (neg.f64 (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))
(+.f64 (fma.f64 (/.f64 beta (-.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))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) alpha (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha)))
(+.f64 (fma.f64 (/.f64 beta (-.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))) (neg.f64 (*.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (/.f64 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))))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))) (/.f64 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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (/.f64 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)))))))))
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(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)))) (neg.f64 (/.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)))
(fma.f64 (/.f64 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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 beta (-.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))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 beta (-.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 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.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 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.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 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal 1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.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 #s(literal 1 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 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))))))))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 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))))))
(/.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 (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 beta alpha))
(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 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 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 -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) #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 (*.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 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(*.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)))

simplify628.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
4308×*-lowering-*.f32
4308×*-lowering-*.f64
3468×+-lowering-+.f64
3468×+-lowering-+.f32
1996×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0157520093
1569319435
0845419435
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
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)
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(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
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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)))
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(/ (+ 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)))
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(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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(+ (* 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)
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -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)))
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1
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))
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(+ 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)
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(+ 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)))
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(- (* -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
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(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
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1
(+ 1 (* 1/2 beta))
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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)))
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(* 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)))
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(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
2
(+ 2 beta)
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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 (* 1/2 alpha)))
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(+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1/8 alpha) 1/4))) (* 1/2 (+ 1/2 (* 1/4 alpha))))))
(+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (+ 1/2 (* 1/4 alpha))) (* beta (+ (* 1/2 (* beta (+ 1/8 (* 1/16 alpha)))) (* 1/2 (- (* -1/8 alpha) 1/4)))))))
1
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(+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* 1/2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (* 1/2 (/ (- (* -4 alpha) 8) (pow beta 3))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(* -1/2 (/ alpha (+ 2 beta)))
(* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))
(* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))
(* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))
(* -1/2 (/ alpha (+ 2 beta)))
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(* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(- 1 (* 1/2 alpha))
(- (+ 1 (* beta (+ 1/2 (* 1/4 alpha)))) (* 1/2 alpha))
(- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (* -1/8 alpha) 1/4)))))) (* 1/2 alpha))
(- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (+ (* -1/8 alpha) (* beta (+ 1/8 (* 1/16 alpha)))) 1/4)))))) (* 1/2 alpha))
2
(+ 2 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 2 (+ (* 2 (/ alpha (pow beta 2))) (/ 4 (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -4 (/ alpha (pow beta 3))) (+ (* 2 (/ alpha (pow beta 2))) (/ 4 (pow beta 2))))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ alpha beta))))
2
(- (+ 2 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
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(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
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(+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))
(* -1 (/ alpha (+ 2 beta)))
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(* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))
(* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))
(* -1 (/ alpha (+ 2 beta)))
(* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))
(* -1/2 alpha)
(+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha))))
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha))))
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha))))
1
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta))))
1
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(* -1 (/ alpha (+ 2 beta)))
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(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
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(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -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 (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha)))))
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(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))))) beta)
(/ (- alpha (* -1 (+ 2 alpha))) beta)
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))) beta))
(+ 1 (* -1 (/ beta (+ 2 beta))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* -1 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* alpha (+ (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))) (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))
2
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(+ 2 (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))
(+ 2 (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
2
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(+ 2 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha)))) (* -1 (+ 2 beta))) alpha)))
(+ 2 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) alpha)) (* -1 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (* -1 (+ 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)
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.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 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 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 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))) beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 beta beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))) beta)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 alpha) (*.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 alpha #s(literal 2 binary64))))) (*.f64 beta (*.f64 beta beta))) (/.f64 (+.f64 (*.f64 alpha (+.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 beta beta)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta)))) beta))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 alpha (+.f64 (*.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.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 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (neg.f64 beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 alpha alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (neg.f64 beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha))) 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))
(neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) alpha)) alpha))) alpha))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (-.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 (neg.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 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (-.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 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (-.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 #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)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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(* -1/2 alpha)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(* -1 alpha)
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beta
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beta
(* -1 (* beta (- (/ alpha beta) 1)))
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beta
(+ beta (* -1 alpha))
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(+ beta (* -1 alpha))
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(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
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(/ (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/2 (/ (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))) alpha))) alpha)
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(/ (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* 1/2 (/ (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))) alpha)) (* 1/2 (/ (- (* 1/2 (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (+ (* -1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (* -1/4 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (pow alpha 2))))) alpha)
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(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2))))) (* 1/4 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))) alpha)) (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta))))) alpha))
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(* -1/2 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
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(/ (+ (* -1 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 3))))))) beta)
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(* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (- (* -1 (pow alpha 2)) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2))))) beta)) (+ (* -1 (pow alpha 2)) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta))) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (+ 4 (* 2 alpha))) beta))
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(* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -1 (pow alpha 2)) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2)))))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))))) beta) (/ (* (pow (+ 2 alpha) 2) (- (* -1 (pow alpha 2)) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2))))) beta)) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -1 (pow alpha 2)) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2)))))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))))) beta)) (* -1 (pow alpha 2))) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (+ 4 (* 2 alpha))) beta))
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(* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
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(/ (+ (* -1 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (+ (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2)) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2))))) alpha)
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(/ (+ (* -1 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (* -1 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (+ (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 3))))))) alpha)
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(* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
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(* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (+ 4 (* 2 beta))) alpha))
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(* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2))))) alpha)) (+ (* -1 (pow beta 2)) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (+ 4 (* 2 beta))) alpha))
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(* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2)))))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) alpha) (/ (* (pow (+ 2 beta) 2) (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2))))) alpha)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2)))))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) alpha)) (* -1 (pow beta 2))) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (+ 4 (* 2 beta))) alpha))
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(* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
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(+ (* -1 (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))))
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#s(literal -1 binary64)
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#s(literal -1 binary64)
(- (* -1 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) 1)
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(- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (- (* -1 (pow alpha 2)) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2))))) beta)) (+ (* -1 (pow alpha 2)) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta))) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (+ 4 (* 2 alpha))) beta)) 1)
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(* -1 (/ (pow beta 2) (pow (+ 2 beta) 2)))
(neg.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1 (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 2))))
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-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) 1)
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(- (+ (* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (* -1 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2)))) 1)
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(- (+ (* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (+ (* -1 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 3)) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 3))))) 1)
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-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) 1)
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(- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (+ 4 (* 2 beta))) alpha)) 1)
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(- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2))))) alpha)) (+ (* -1 (pow beta 2)) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))) (+ (* -1 (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta))))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (+ 4 (* 2 beta))) alpha)) 1)
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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)))
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))
(+ 1 (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ 1 (+ (* -1 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))))
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(+ 1 (+ (* beta (+ (* -1 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) (/ alpha (+ 2 alpha))))
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(+ 1 (+ (* beta (+ (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* -1 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))) (/ alpha (+ 2 alpha))))
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(* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta))
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) beta) (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))))) beta)
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)
(/.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) beta) (neg.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)))))) beta)
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))))) beta)
(/.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (neg.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)))) (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))))))) beta)
(/ (- alpha (* -1 (+ 2 alpha))) beta)
(/.f64 (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) beta)
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))
(neg.f64 (/.f64 (+.f64 (neg.f64 (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) beta)) beta))
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) beta))) beta)) beta))
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) beta)) beta)) beta)) beta))
(+ 1 (* -1 (/ beta (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.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))))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* -1 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 (neg.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)))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* alpha (+ (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))) (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (*.f64 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))))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta))))))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)))
(+ 2 (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) (*.f64 alpha alpha)))
(+ 2 (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) (*.f64 alpha alpha)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha))) (*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) (*.f64 alpha alpha)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)))
(+ 2 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha)))) (* -1 (+ 2 beta))) alpha)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta (-.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (+.f64 #s(literal -2 binary64) (neg.f64 beta))))) alpha))
(+ 2 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) alpha)) (* -1 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (* -1 (+ 2 beta))) alpha)))
(+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 beta (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.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))) alpha)) (-.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 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 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 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 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 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 beta (+.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (-.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 #s(literal 1 binary64) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 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 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 alpha) #s(literal -2 binary64)) beta)) (/.f64 alpha 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 (neg.f64 (/.f64 alpha beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))))) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 alpha) #s(literal -2 binary64)) beta)) (/.f64 alpha beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) beta) (neg.f64 (-.f64 (neg.f64 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) (neg.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta)) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 (neg.f64 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 (neg.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 #s(literal -1 binary64) (-.f64 (*.f64 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 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(+.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) (*.f64 alpha alpha))) (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 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 beta alpha) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) (*.f64 alpha alpha)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (neg.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)
(+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (+.f64 #s(literal 2 binary64) beta)) alpha)) #s(literal -1 binary64))
(- (* -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 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))))) alpha)) (+.f64 #s(literal 2 binary64) beta)) alpha)) #s(literal -1 binary64))

eval371.0ms (3.3%)

Compiler

Compiled 64377 to 5248 computations (91.8% saved)

prune279.0ms (2.5%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New144381451
Fresh01010
Picked235
Done101
Total1446211467
Accuracy
100.0%
Counts
1467 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(/.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 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶75.2%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
49.6%
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal -8 binary64) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
51.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
51.3%
(/.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))
▶27.2%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
52.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓72.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
30.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
✓72.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
31.8%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶23.9%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
▶49.0%
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
22.2%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha)))))))) alpha)
27.7%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
28.9%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
27.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
48.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
28.9%
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
✓35.2%
#s(literal 1 binary64)
▶50.7%
#s(literal 1/2 binary64)
Compiler

Compiled 841 to 464 computations (44.8% saved)

simplify222.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff384
(+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)))
✓cost-diff384
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))
✓cost-diff384
(+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)))))
✓cost-diff384
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
✓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 -1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff6400
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
✓cost-diff6400
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
Rules
2238×+-lowering-+.f64
2238×+-lowering-+.f32
2230×*-lowering-*.f32
2230×*-lowering-*.f64
1676×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037310
1102274
2337269
31311258
47353258
08160258
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)
(/ 1 (+ beta (+ alpha 2)))
1
(+ beta (+ alpha 2))
beta
(+ alpha 2)
alpha
2
(- beta alpha)
1/2
(/ (+ (* alpha -1/2) 1) 2)
(+ (* alpha -1/2) 1)
(* alpha -1/2)
alpha
-1/2
1
2
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
2
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(* alpha 2)
alpha
beta
(/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))) alpha)
(+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)))))
(+ 1 beta)
1
beta
(* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))
1/2
(+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)))
(* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))
(- (- -2 beta) beta)
(- -2 beta)
-2
(/ (+ 2 beta) alpha)
(+ 2 beta)
2
alpha
(/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))
(* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta))))
(* (+ 2 beta) (+ beta (+ 2 beta)))
(+ beta (+ 2 beta))
(* alpha alpha)
Outputs
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #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 alpha (+.f64 beta #s(literal 2 binary64)))))
(/ 1 (+ beta (+ alpha 2)))
(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ beta (+ alpha 2))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
beta
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
alpha
2
#s(literal 2 binary64)
(- beta alpha)
(-.f64 beta alpha)
1/2
#s(literal 1/2 binary64)
(/ (+ (* alpha -1/2) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 alpha #s(literal -1/2 binary64))) #s(literal 2 binary64))
(+ (* alpha -1/2) 1)
(+.f64 #s(literal 1 binary64) (*.f64 alpha #s(literal -1/2 binary64)))
(* alpha -1/2)
(*.f64 alpha #s(literal -1/2 binary64))
alpha
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 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 #s(literal 1 binary64) alpha)) beta))
2
#s(literal 2 binary64)
(/ (+ 2 (* alpha 2)) beta)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha)) beta)
(+ 2 (* alpha 2))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha))
(* alpha 2)
(*.f64 alpha #s(literal 2 binary64))
alpha
beta
(/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64))) alpha))) alpha)
(+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)))))
(+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64))) alpha)))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
(* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))
(*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64))) alpha))
1/2
#s(literal 1/2 binary64)
(+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)))
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha)))
(* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(- (- -2 beta) beta)
(+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))
(- -2 beta)
(-.f64 #s(literal -2 binary64) beta)
-2
#s(literal -2 binary64)
(/ (+ 2 beta) alpha)
(/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
alpha
(/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 alpha alpha))
(* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta))))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(* (+ 2 beta) (+ beta (+ 2 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))
(+ beta (+ 2 beta))
(+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))
(* alpha alpha)
(*.f64 alpha alpha)

localize257.0ms (2.3%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
✓accuracy98.8%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
✓accuracy98.1%
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))
✓accuracy89.4%
(+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓accuracy100.0%
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 alpha #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy99.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
Results
128.0ms67×5exit
65.0ms189×0valid
Compiler

Compiled 324 to 37 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
backward-pass: 37.0ms (35.6% of total)
ival-mult: 19.0ms (18.3% of total)
ival-div: 17.0ms (16.4% of total)
ival-add: 17.0ms (16.4% of total)
ival-sub: 6.0ms (5.8% of total)
compiled-spec: 5.0ms (4.8% of total)
const: 1.0ms (1% of total)

series45.0ms (0.4%)

Counts
19 → 384
Calls
Call 1
Inputs
#<alt (/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)>
#<alt (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)>
#<alt (/ 1 (+ beta (+ alpha 2)))>
#<alt (+ beta (+ alpha 2))>
#<alt (/ (+ (* alpha -1/2) 1) 2)>
#<alt (+ (* alpha -1/2) 1)>
#<alt (* alpha -1/2)>
#<alt (/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)>
#<alt (- 2 (/ (+ 2 (* alpha 2)) beta))>
#<alt (/ (+ 2 (* alpha 2)) beta)>
#<alt (+ 2 (* alpha 2))>
#<alt (/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))) alpha)>
#<alt (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)))))>
#<alt (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))>
#<alt (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)))>
#<alt (+ alpha 2)>
#<alt (* alpha 2)>
#<alt (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))>
#<alt (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))>
Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<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))>
#<alt (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (/ 1 beta)>
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#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* 2 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 (/ 8 (pow alpha 2))>
#<alt (+ (* 16 (/ beta (pow alpha 2))) (* 8 (/ 1 (pow alpha 2))))>
#<alt (+ (* beta (+ (* 10 (/ beta (pow alpha 2))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))>
#<alt (+ (* beta (+ (* beta (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2))))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 3) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 10 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 2))))))>
#<alt (* (pow beta 3) (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 8 (/ 1 (* (pow alpha 2) (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 16 (/ 1 (* (pow alpha 2) beta))) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 2))) (/ 16 (* (pow alpha 2) beta)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ -4 alpha)>
#<alt (- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))>
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
Calls

96 calls:

TimeVariablePointExpression
6.0ms
alpha
@-inf
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
6.0ms
beta
@inf
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
1.0ms
beta
@0
(/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))) alpha)
1.0ms
alpha
@0
(/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))) alpha)
1.0ms
beta
@-inf
(/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))) alpha)

rewrite420.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
3184×fma-lowering-fma.f32
3184×fma-lowering-fma.f64
2998×*-lowering-*.f32
2998×*-lowering-*.f64
2182×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037240
1294205
23268201
08593201
Stop Event
1×iter limit
1×node limit
Counts
19 → 449
Calls
Call 1
Inputs
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)
(/ 1 (+ beta (+ alpha 2)))
(+ beta (+ alpha 2))
(/ (+ (* alpha -1/2) 1) 2)
(+ (* alpha -1/2) 1)
(* alpha -1/2)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))) alpha)
(+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)))))
(* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))))
(+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)))
(+ alpha 2)
(* alpha 2)
(/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))
(* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 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 alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 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 alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1/2 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 alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 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 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(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 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #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 (/.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))) #s(literal 1 binary64))
(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))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #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 alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 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 alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.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 alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (neg.f64 (+.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 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #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 alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.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 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.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 alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(pow.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
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(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.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 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) alpha)
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 alpha alpha))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (*.f64 alpha alpha)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) alpha))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) alpha)
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)))) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)))) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (-.f64 #s(literal 0 binary64) alpha))
(pow.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 alpha (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha))))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha alpha)))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.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 alpha alpha)))
(*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha))))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha))) (+.f64 beta #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha))
(*.f64 (pow.f64 (/.f64 alpha (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (-.f64 #s(literal -2 binary64) beta)) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (-.f64 #s(literal 0 binary64) beta)))
(+.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (-.f64 #s(literal -2 binary64) beta) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (-.f64 #s(literal 0 binary64) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) alpha)
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 beta (-.f64 beta (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta))) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 beta (-.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta))) (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 beta (-.f64 beta (+.f64 beta #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (*.f64 (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha))
(/.f64 (*.f64 (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) beta)) (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta)))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 beta (-.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta)))) (*.f64 alpha (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 beta (-.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 alpha (-.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta)))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 beta (-.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta)))) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 beta (-.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (-.f64 beta (+.f64 beta #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 beta (-.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (-.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (-.f64 beta (+.f64 beta #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha))
(pow.f64 (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) alpha))

simplify487.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
5610×+-lowering-+.f64
5610×+-lowering-+.f32
4356×*-lowering-*.f32
4356×*-lowering-*.f64
1932×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08536401
129936055
085026055
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/ 1 (+ 2 alpha))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(/ 1 beta)
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)
(/ 1 beta)
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))
(/ 1 (+ 2 beta))
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)
(/ 1 alpha)
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(* -1/4 alpha)
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* -1/4 alpha)
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
1
(+ 1 (* -1/2 alpha))
(+ 1 (* -1/2 alpha))
(+ 1 (* -1/2 alpha))
(* -1/2 alpha)
(* alpha (- (/ 1 alpha) 1/2))
(* alpha (- (/ 1 alpha) 1/2))
(* alpha (- (/ 1 alpha) 1/2))
(* -1/2 alpha)
(* -1 (* alpha (- 1/2 (/ 1 alpha))))
(* -1 (* alpha (- 1/2 (/ 1 alpha))))
(* -1 (* alpha (- 1/2 (/ 1 alpha))))
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 alpha)
(* -1/2 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))))
(/ (+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))))) alpha)
(+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (/ 1 alpha)))
(+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha)))) (/ 1 alpha)))
(+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (/ 1 alpha)))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) (* alpha (pow beta 3)))) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow alpha 3))))))))
(/ (pow beta 3) (pow alpha 3))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha))) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))))
(+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))))))
(+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ 1 (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))))))
(+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ 1 (+ (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))))))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) (pow beta 3))) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))))
(/ (pow beta 3) (pow alpha 2))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))))) beta)) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) beta)) (/ 1 (pow alpha 2)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))))
(+ (* 1/2 (* beta (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))))
(+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))))
(+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow beta 2))) (/ 1 (pow alpha 2)))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) (pow beta 3))) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow beta 2))) (/ 1 (pow alpha 2))))))
(/ (pow beta 3) (pow alpha 2))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) beta)) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) beta)) (/ 1 (pow alpha 2)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))
(- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))
(- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) (* 4 (/ 1 alpha)))
(- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 6 (/ 1 alpha))))) (* 4 (/ 1 alpha)))
(- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (* 6 (/ 1 alpha))))) (* 4 (/ 1 alpha)))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))))
(* (pow beta 3) (- (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta)))) (+ (* 6 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 3))) (/ 10 (* (pow alpha 2) beta))))) (+ (* 6 (/ 1 (* alpha (pow beta 2)))) (+ (/ 2 (* alpha beta)) (/ 4 (* alpha (pow beta 3)))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) beta)) (* 6 (/ 1 alpha))) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(/ 8 (pow alpha 2))
(+ (* 16 (/ beta (pow alpha 2))) (* 8 (/ 1 (pow alpha 2))))
(+ (* beta (+ (* 10 (/ beta (pow alpha 2))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(+ (* beta (+ (* beta (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2))))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 3) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 10 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 2))))))
(* (pow beta 3) (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 8 (/ 1 (* (pow alpha 2) (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 16 (/ 1 (* (pow alpha 2) beta))) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 2))) (/ 16 (* (pow alpha 2) beta)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ -4 alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 alpha #s(literal 2 binary64)))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 alpha #s(literal 2 binary64)))) beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 alpha #s(literal 2 binary64)))) beta)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))) (/.f64 (+.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) beta)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 alpha #s(literal -1/2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) beta))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 alpha (+.f64 (*.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) 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 alpha))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha))) (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 alpha (*.f64 alpha 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 alpha))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) alpha)) alpha)) alpha)) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 (-.f64 (*.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 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
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(/ 1 (+ 2 alpha))
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(/ 1 beta)
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(/ 1 (+ 2 beta))
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(+ 2 (+ alpha beta))
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beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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beta
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(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
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(+ 2 beta)
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(+ 2 (+ alpha beta))
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(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
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alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
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(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
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(+ 1/2 (* -1/4 alpha))
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(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
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(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
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(* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))))
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(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (*.f64 #s(literal 16 binary64) (/.f64 beta (*.f64 alpha alpha))))
(+ (* beta (+ (* 10 (/ beta (pow alpha 2))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (*.f64 beta (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (*.f64 #s(literal 10 binary64) (/.f64 beta (*.f64 alpha alpha))))))
(+ (* beta (+ (* beta (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2))))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (*.f64 beta (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (*.f64 beta (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (*.f64 #s(literal 2 binary64) (/.f64 beta (*.f64 alpha alpha))))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha alpha))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 10 binary64) (*.f64 beta (*.f64 alpha alpha)))))
(* (pow beta 3) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 10 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 2))))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 beta (*.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (*.f64 beta beta)))))
(* (pow beta 3) (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 8 (/ 1 (* (pow alpha 2) (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 beta (*.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta)))) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (*.f64 beta beta)))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha alpha))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 10 binary64) (*.f64 beta (*.f64 alpha alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 16 (/ 1 (* (pow alpha 2) beta))) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 16 binary64) (*.f64 beta (*.f64 alpha alpha)))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (neg.f64 (*.f64 beta (*.f64 beta beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 2))) (/ 16 (* (pow alpha 2) beta)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 16 binary64) (*.f64 beta (*.f64 alpha alpha)))) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (*.f64 beta beta))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (neg.f64 (*.f64 beta (*.f64 beta beta))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+.f64 (*.f64 (/.f64 beta alpha) #s(literal -6 binary64)) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 (/.f64 beta alpha) #s(literal -2 binary64)) (/.f64 #s(literal -6 binary64) alpha))) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 (/.f64 beta alpha) #s(literal -2 binary64)) (/.f64 #s(literal -6 binary64) alpha))) (/.f64 #s(literal -4 binary64) alpha))
(* -2 (/ (pow beta 2) alpha))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 beta beta) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha beta))) (*.f64 #s(literal -1 binary64) (*.f64 beta beta)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) alpha)))
(* -2 (/ (pow beta 2) alpha))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 beta beta) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha beta))) (*.f64 #s(literal -1 binary64) (*.f64 beta beta)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) alpha)))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))

eval239.0ms (2.1%)

Compiler

Compiled 26904 to 2855 computations (89.4% saved)

prune111.0ms (1%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New8258833
Fresh11213
Picked415
Done033
Total83024854
Accuracy
100.0%
Counts
854 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.5%
(/.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 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
50.5%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
49.6%
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal -8 binary64) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
51.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
51.3%
(/.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))
30.7%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
52.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓72.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓72.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶31.8%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶29.0%
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha)
28.6%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) (*.f64 beta (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha))) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -6 binary64) alpha))))))) alpha)
22.2%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha)))))))) alpha)
27.7%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
22.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) alpha)
28.9%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
29.0%
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))))))
27.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
48.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
▶49.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
▶48.9%
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
28.9%
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
✓35.2%
#s(literal 1 binary64)
✓50.7%
#s(literal 1/2 binary64)
Compiler

Compiled 1004 to 567 computations (43.5% saved)

simplify303.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))
✓cost-diff256
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64))
✓cost-diff256
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta)
✓cost-diff256
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha)
✓cost-diff0
(/.f64 (+.f64 beta alpha) (-.f64 beta alpha))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64))
✓cost-diff128
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) alpha)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64))
✓cost-diff128
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
✓cost-diff0
(*.f64 alpha #s(literal -1/4 binary64))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))
✓cost-diff256
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
✓cost-diff6528
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64))
✓cost-diff6528
(/.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 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
Rules
7820×+-lowering-+.f64
7820×+-lowering-+.f32
3170×*-lowering-*.f32
3170×*-lowering-*.f64
1776×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042386
1125364
2465350
32324335
08159335
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 (* (+ beta alpha) -2)))) 1) 2)
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))) 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 (* (+ beta alpha) -2)))
(+ 4 (* (+ beta alpha) -2))
4
(* (+ beta alpha) -2)
-2
1
2
(+ 1/2 (* alpha -1/4))
1/2
(* alpha -1/4)
alpha
-1/4
(* alpha (+ (/ 1/2 alpha) -1/4))
alpha
(+ (/ 1/2 alpha) -1/4)
(/ 1/2 alpha)
1/2
-1/4
(/ (+ (/ 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
(/ (+ (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1) beta) alpha)
(+ (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1) beta)
(+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1)
(* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha)))))
1/2
(* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))
(/ (+ beta 2) alpha)
(+ beta 2)
beta
2
alpha
(+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha)))
(- -2 (* beta 2))
-2
(* beta 2)
(* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))
(+ 2 (* beta 2))
1
Outputs
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))) 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 (* (+ beta alpha) -2)))) 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 (* (+ beta alpha) -2)))
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+ 4 (* (+ beta alpha) -2))
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
4
#s(literal 4 binary64)
(* (+ beta alpha) -2)
(*.f64 (+.f64 beta alpha) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(+ 1/2 (* alpha -1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* alpha -1/4)
(*.f64 alpha #s(literal -1/4 binary64))
alpha
-1/4
#s(literal -1/4 binary64)
(* alpha (+ (/ 1/2 alpha) -1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
alpha
(+ (/ 1/2 alpha) -1/4)
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) alpha))
(/ 1/2 alpha)
(/.f64 #s(literal 1/2 binary64) alpha)
1/2
#s(literal 1/2 binary64)
-1/4
#s(literal -1/4 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)
(/ (+ (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1) beta) alpha)
(/.f64 (+.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) alpha) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64)))) alpha))) alpha)
(+ (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1) beta)
(+.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) alpha) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64)))) alpha)))
(+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) alpha) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64)))) alpha))
(* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha)))))
(/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) alpha) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64)))) alpha)
1/2
#s(literal 1/2 binary64)
(* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))
(*.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 beta #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) alpha) #s(literal -2 binary64)))
(/ (+ beta 2) alpha)
(/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
beta
2
#s(literal 2 binary64)
alpha
(+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha)))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) alpha) #s(literal -2 binary64)))
(- -2 (* beta 2))
(+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(* beta 2)
(*.f64 beta #s(literal 2 binary64))
(* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))
(+ 2 (* beta 2))
(+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))
1
#s(literal 1 binary64)

localize335.0ms (3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
✓accuracy99.7%
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
✓accuracy98.8%
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha)
✓accuracy100.0%
(+.f64 beta alpha)
✓accuracy100.0%
(/.f64 (+.f64 beta alpha) (-.f64 beta alpha))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha)))
✓accuracy76.6%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) alpha)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64))
✓accuracy99.8%
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓accuracy100.0%
(*.f64 alpha #s(literal -1/4 binary64))
✓accuracy100.0%
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
✓accuracy99.9%
(*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
✓accuracy93.7%
(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))
✓accuracy86.6%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64))
Results
136.0ms67×5exit
64.0ms63×1valid
54.0ms125×0valid
2.0ms1×4valid
Compiler

Compiled 430 to 42 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
backward-pass: 41.0ms (25.9% of total)
ival-add: 39.0ms (24.7% of total)
ival-mult: 32.0ms (20.3% of total)
ival-div: 27.0ms (17.1% of total)
compiled-spec: 9.0ms (5.7% of total)
ival-sub: 8.0ms (5.1% of total)
const: 2.0ms (1.3% of total)

series84.0ms (0.7%)

Counts
22 → 468
Calls
Call 1
Inputs
#<alt (/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))) 1) 2)>
#<alt (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))) 1)>
#<alt (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))>
#<alt (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8))>
#<alt (+ 1/2 (* alpha -1/4))>
#<alt (* alpha -1/4)>
#<alt (* alpha (+ (/ 1/2 alpha) -1/4))>
#<alt (+ (/ 1/2 alpha) -1/4)>
#<alt (/ 1/2 alpha)>
#<alt (/ (+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1) 2)>
#<alt (+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1)>
#<alt (/ 1 (/ (+ beta alpha) (- beta alpha)))>
#<alt (/ (+ beta alpha) (- beta alpha))>
#<alt (/ (+ (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1) beta) alpha)>
#<alt (+ (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1) beta)>
#<alt (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1)>
#<alt (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha)))))>
#<alt (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha)))>
#<alt (+ beta alpha)>
#<alt (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))>
#<alt (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))>
#<alt (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha)))>
Outputs
#<alt (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3))))))>
#<alt (+ (* 1/2 (* 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)))))) (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))))>
#<alt (+ (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (* 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)))))))) (* 1/2 (- (+ (* -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))))))))>
#<alt (+ (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (- (+ (* -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))))) (* beta (+ (* 1/2 (* 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)))))))) (* 1/2 (- (+ (* -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))))))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))>
#<alt (+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2))))) (+ 8 (+ (* (+ alpha (* 2 alpha)) (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha)))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -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))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -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)))))) (* 1/2 (/ (- (* -1 (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2))))) (+ 8 (+ (* -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))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) beta)))>
#<alt (* 1/2 (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))>
#<alt (+ (* 1/2 (* 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))))) (* 1/2 (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3))))))>
#<alt (+ (* 1/2 (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3))))) (* alpha (+ (* 1/2 (* 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))))))) (* 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)))))))>
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#<alt (* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (* -1 (/ (- (+ (* -1 (* beta (+ 4 (+ (* -2 beta) (pow beta 2))))) (+ (* -1 (/ (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta)))) alpha)) (+ (* -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)))))) alpha)) (* -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))))) (+ 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))) (+ (* -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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#<alt (pow beta 2)>
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#<alt (pow beta 2)>
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#<alt (pow alpha 2)>
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#<alt (pow alpha 2)>
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#<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))))))>
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#<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))))>
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#<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))>
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#<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 1/2>
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#<alt (* -1/4 alpha)>
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#<alt (* -1/4 alpha)>
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#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ beta alpha)>
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#<alt (* beta (+ (* beta (- (/ beta (pow alpha 3)) (/ 1 (pow alpha 2)))) (/ 1 alpha)))>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt (/ beta alpha)>
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#<alt 2>
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#<alt 2>
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#<alt 2>
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#<alt -1>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)>
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#<alt (- (+ (* beta (+ (* 1/2 (/ (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) alpha)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))>
#<alt (- (+ (* beta (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))>
#<alt (/ (pow beta 3) (pow alpha 3))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (/ 1 (pow alpha 3))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))>
#<alt (* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))>
#<alt (/ (pow beta 3) (pow alpha 3))>
#<alt (* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha)) beta)) (* 1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) alpha))) (/ 1 alpha)) beta)) (* 1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))>
#<alt (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))>
#<alt (/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)>
#<alt (/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)>
#<alt (/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))>
#<alt (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))))))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))>
#<alt (* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3)))))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha)))) 1) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))) 1) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))>
#<alt (/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))>
#<alt (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))>
#<alt (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))>
#<alt (+ 1 beta)>
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#<alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))>
#<alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))>
#<alt (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (+ (* 1/2 (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (* 4 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))))) (* 2 (/ 1 alpha)))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3))))))) (/ 2 (* alpha (pow beta 3)))))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))>
#<alt (/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ alpha (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ alpha (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))>
#<alt 1>
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#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)))>
#<alt (/ (- (* 4 (/ 1 alpha)) 2) alpha)>
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#<alt (- (+ (* beta (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt (- (+ (* beta (+ (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))) (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 4 (* (pow alpha 2) (pow beta 3)))))) (/ 2 (* alpha (pow beta 3)))))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))>
#<alt (/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)>
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) 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)))>
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#<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)))>
#<alt (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))>
#<alt (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))>
#<alt (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (- (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))))>
#<alt (* (pow beta 3) (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))>
#<alt (* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta)))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha)))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)>
#<alt (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)>
#<alt (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))>
#<alt (/ 4 alpha)>
#<alt (+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha)))>
#<alt (+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (* 2 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))>
#<alt (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))>
#<alt (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))>
#<alt (* 2 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))>
#<alt (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))>
#<alt (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt (- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2)>
#<alt (- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)>
#<alt (- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)>
#<alt (* 2 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))>
#<alt (* 2 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)>
#<alt (* -1 (+ 2 (* 2 beta)))>
#<alt (- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))>
#<alt (- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))>
#<alt (- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))>
#<alt (* -1 (+ 2 (* 2 beta)))>
#<alt (- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))>
#<alt (- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))>
#<alt (- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))>
Calls

117 calls:

TimeVariablePointExpression
11.0ms
beta
@-inf
(/ (+ (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1) beta) alpha)
10.0ms
alpha
@inf
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))) 1) 2)
5.0ms
alpha
@-inf
(/ 1 (/ (+ beta alpha) (- beta alpha)))
4.0ms
beta
@inf
(+ beta alpha)
3.0ms
beta
@0
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))) 1) 2)

rewrite356.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
3540×fma-lowering-fma.f32
3540×fma-lowering-fma.f64
2318×*-lowering-*.f32
2318×*-lowering-*.f64
2150×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042306
1342286
23718280
08297280
Stop Event
1×iter limit
1×node limit
Counts
22 → 526
Calls
Call 1
Inputs
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))) 1) 2)
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))) 1)
(+ (* (+ beta alpha) (+ beta alpha)) (+ 4 (* (+ beta alpha) -2)))
(/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8))
(+ 1/2 (* alpha -1/4))
(* alpha -1/4)
(* alpha (+ (/ 1/2 alpha) -1/4))
(+ (/ 1/2 alpha) -1/4)
(/ 1/2 alpha)
(/ (+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1) 2)
(+ (/ 1 (/ (+ beta alpha) (- beta alpha))) 1)
(/ 1 (/ (+ beta alpha) (- beta alpha)))
(/ (+ beta alpha) (- beta alpha))
(/ (+ (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1) beta) alpha)
(+ (+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1) beta)
(+ (* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))) 1)
(* 1/2 (* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha)))))
(* (+ beta alpha) (* (+ beta alpha) (+ beta alpha)))
(+ beta alpha)
(* (/ (+ beta 2) alpha) (+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))))
(* (+ 2 (* beta 2)) (/ (+ beta 2) alpha))
(+ (- -2 (* beta 2)) (* (+ 2 (* beta 2)) (/ (+ beta 2) alpha)))
Outputs
(neg.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 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 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 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 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (*.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (/.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))))) (*.f64 #s(literal 2 binary64) (+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (/.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 (+.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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))))))
(/.f64 (+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (/.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 (+.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 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 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (*.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (/.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))))) #s(literal 1/2 binary64)) (+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (/.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 (+.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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))))))
(/.f64 (*.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (/.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))))) #s(literal -1/2 binary64))
(+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.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 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))))
(-.f64 (/.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (/.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))) (+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal -1 binary64))))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 beta alpha) (/.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 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))) (+.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (-.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) alpha) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) alpha))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 beta beta))) alpha) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))))) (*.f64 alpha (-.f64 #s(literal -8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))))) (*.f64 alpha (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 beta beta))))) (*.f64 alpha (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))) (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (+.f64 #s(literal -2 binary64) (-.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #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 #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))

simplify405.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
4618×+-lowering-+.f64
4618×+-lowering-+.f32
4266×*-lowering-*.f32
4266×*-lowering-*.f64
1740×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0166714210
1610213769
0832913769
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3))))))
(+ (* 1/2 (* 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)))))) (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))))
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (* 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)))))))) (* 1/2 (- (+ (* -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))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (- (+ (* -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))))) (* beta (+ (* 1/2 (* 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)))))))) (* 1/2 (- (+ (* -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))))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2))))) (+ 8 (+ (* (+ alpha (* 2 alpha)) (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha)))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -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))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -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)))))) (* 1/2 (/ (- (* -1 (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2))))) (+ 8 (+ (* -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))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) beta)))
(* 1/2 (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))
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(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (* -1 (/ (- (* -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))) (+ (* -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))
(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (* -1 (/ (- (+ (* -1 (* beta (+ 4 (+ (* -2 beta) (pow beta 2))))) (+ (* -1 (/ (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta)))) alpha)) (+ (* -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)))))) alpha)) (* -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))))) (+ 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))) (+ (* -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))
(+ 4 (+ (* -2 alpha) (pow alpha 2)))
(+ 4 (+ (* -2 alpha) (+ (* beta (- (* 2 alpha) 2)) (pow alpha 2))))
(+ 4 (+ (* -2 alpha) (+ (* beta (- (+ beta (* 2 alpha)) 2)) (pow alpha 2))))
(+ 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)))
(+ 4 (+ (* -2 beta) (+ (* alpha (- (* 2 beta) 2)) (pow beta 2))))
(+ 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 (/ 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))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(* -1/4 alpha)
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* -1/4 alpha)
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(* -1/4 alpha)
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* -1/4 alpha)
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/4 alpha)) alpha)
(/ (+ 1/2 (* -1/4 alpha)) alpha)
(/ (+ 1/2 (* -1/4 alpha)) alpha)
-1/4
(- (* 1/2 (/ 1 alpha)) 1/4)
(- (* 1/2 (/ 1 alpha)) 1/4)
(- (* 1/2 (/ 1 alpha)) 1/4)
-1/4
(- (* 1/2 (/ 1 alpha)) 1/4)
(- (* 1/2 (/ 1 alpha)) 1/4)
(- (* 1/2 (/ 1 alpha)) 1/4)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 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 (* -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)
-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 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* 1/2 (/ (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) alpha)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))
(/ (pow beta 3) (pow alpha 3))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha)) beta)) (* 1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) alpha))) (/ 1 alpha)) beta)) (* 1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3)))))
(/ (pow beta 3) (pow alpha 2))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha)))) 1) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))) 1) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 1/2 (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (* 4 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))))) (* 2 (/ 1 alpha)))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (/ 1 (pow alpha 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3))))))) (/ 2 (* alpha (pow beta 3)))))
(/ (pow beta 3) (pow alpha 2))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ alpha (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ alpha (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
1
(+ 1 (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))
1
(+ 1 (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)))
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(- (+ (* 1/2 (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ (* beta (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ (* beta (+ (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))) (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (/ 1 (pow alpha 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 4 (* (pow alpha 2) (pow beta 3)))))) (/ 2 (* alpha (pow beta 3)))))
(/ (pow beta 3) (pow alpha 2))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) 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)))
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)))
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta)))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha)))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))
(/ 4 alpha)
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(- (* 4 (/ 1 alpha)) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(* -1 (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(* -1 (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
Outputs
(* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 alpha (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 alpha #s(literal -2 binary64)) (*.f64 alpha alpha)))) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))))))
(+ (* 1/2 (* 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)))))) (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))))
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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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(/ (- (+ 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)
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(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
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(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
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(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
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(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
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(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
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(- (+ 1 (+ (* 1/2 (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (* 4 (/ 1 (pow alpha 2))))) (* 2 (/ 1 alpha)))
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(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))))) (* 2 (/ 1 alpha)))
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(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))))) (* 2 (/ 1 alpha)))
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(/ (pow beta 3) (pow alpha 2))
(/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha alpha))
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(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (/ 1 (pow alpha 2)))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal -2 binary64))) alpha) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)))) (*.f64 beta beta)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3))))))) (/ 2 (* alpha (pow beta 3)))))
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(/ (pow beta 3) (pow alpha 2))
(/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha alpha))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
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(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
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(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
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alpha
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(* 2 (/ (pow beta 2) alpha))
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(+.f64 (/.f64 #s(literal 4 binary64) alpha) (+.f64 (*.f64 beta (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal -2 binary64)))) #s(literal -2 binary64)))
(* 2 (/ (pow beta 2) alpha))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta beta)) alpha)
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) beta))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 4 binary64) (*.f64 alpha (*.f64 beta beta))))) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 beta beta)))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 4 binary64) (*.f64 alpha (*.f64 beta beta))))) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 beta beta)))))
(* 2 (/ (pow beta 2) alpha))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta beta)) alpha)
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) beta))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) beta)) (/.f64 #s(literal 6 binary64) alpha))) beta))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) beta)) (/.f64 #s(literal 6 binary64) alpha))) beta))))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (*.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))) alpha)
(* -1 (+ 2 (* 2 beta)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))
(* -1 (+ 2 (* 2 beta)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))

eval191.0ms (1.7%)

Compiler

Compiled 55492 to 5012 computations (91% saved)

prune155.0ms (1.4%)

Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New122171228
Fresh41115
Picked145
Done044
Total1226261252
Accuracy
100.0%
Counts
1252 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
50.5%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
55.4%
(/.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
51.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
51.3%
(/.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))
52.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
31.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓72.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓72.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓31.8%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
28.9%
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) beta) alpha)
✓29.0%
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha)
28.6%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) (*.f64 beta (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha))) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -6 binary64) alpha))))))) alpha)
22.2%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha)))))))) alpha)
27.7%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
28.9%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
10.8%
(/.f64 beta alpha)
29.0%
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))))
27.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
30.7%
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta)))
48.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓49.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓48.9%
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
28.9%
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
✓35.2%
#s(literal 1 binary64)
✓50.7%
#s(literal 1/2 binary64)
Compiler

Compiled 1284 to 516 computations (59.8% saved)

regimes60.0ms (0.5%)

Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.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 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) 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 beta #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 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) beta) alpha)
(/.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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) alpha)
(/.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) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) (*.f64 beta (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha))) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -6 binary64) alpha))))))) alpha)
(/.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 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64)) #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 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal -8 binary64) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) #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 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha)))))))) alpha)
Outputs
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

5 calls:

14.0ms
beta
11.0ms
alpha
10.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
10.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
9.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.4%2alpha
75.4%1beta
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
33 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.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 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) 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 beta #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 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) beta) alpha)
(/.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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) alpha)
(/.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) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 beta #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) (*.f64 beta (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha))) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -6 binary64) alpha))))))) alpha)
(/.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 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #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

3 calls:

9.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.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 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) 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 beta #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 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) beta) alpha)
(/.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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) alpha)
(/.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) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

3 calls:

8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.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 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) 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 beta #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 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) beta) alpha)
(/.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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) alpha)
(/.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))
Outputs
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #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

3 calls:

12.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes30.0ms (0.3%)

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

1 calls:

28.0ms
alpha
Results
AccuracySegmentsBranch
93.9%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.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 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) 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 beta #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))
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
Calls

1 calls:

6.0ms
alpha
Results
AccuracySegmentsBranch
93.5%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.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 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) 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))
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
Calls

1 calls:

5.0ms
alpha
Results
AccuracySegmentsBranch
93.1%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.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 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
Calls

2 calls:

13.0ms
alpha
4.0ms
beta
Results
AccuracySegmentsBranch
72.1%2beta
75.3%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.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 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (*.f64 alpha #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
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:

3.0ms
alpha
Results
AccuracySegmentsBranch
75.3%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.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))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
Calls

2 calls:

3.0ms
beta
2.0ms
alpha
Results
AccuracySegmentsBranch
72.1%2beta
61.6%3alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
beta
Results
AccuracySegmentsBranch
71.9%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
beta
Results
AccuracySegmentsBranch
70.7%2beta
Compiler

Compiled 3 to 2 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
50.7%1alpha
50.7%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999879337991093
-0.9968629884116967
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999879337991093
-0.9968629884116967
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999065664054
-0.9999879337991093
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999879337991093
-0.9968629884116967
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
201.60258584942238
635.5494459304114
Results
8.0ms80×0valid
Compiler

Compiled 170 to 124 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 4.0ms (67.5% of total)
ival-sub: 1.0ms (16.9% of total)
ival-add: 1.0ms (16.9% 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
16.0ms
6585690214.243284
31753492282.116848
Results
10.0ms60×1valid
2.0ms36×0valid
Compiler

Compiled 176 to 128 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.7% of total)
ival-add: 2.0ms (24.4% of total)
ival-sub: 1.0ms (12.2% of total)
backward-pass: 1.0ms (12.2% of total)
const: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
6585690214.243284
31753492282.116848
Results
11.0ms70×1valid
2.0ms26×0valid
Compiler

Compiled 164 to 122 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (47.4% of total)
ival-div: 2.0ms (23.7% of total)
ival-sub: 1.0ms (11.9% of total)
backward-pass: 1.0ms (11.9% of total)
const: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.007476325075863693
10.047032239569337
Results
9.0ms128×0valid
Compiler

Compiled 180 to 142 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (34.8% of total)
ival-div: 2.0ms (34.8% of total)
ival-add: 2.0ms (34.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
0.007476325075863693
10.047032239569337
Results
16.0ms128×0valid
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 (41.2% of total)
ival-add: 2.0ms (41.2% of total)
ival-sub: 1.0ms (20.6% 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
18.0ms
9.276002903338857e-5
177345.19937927093
Results
7.0ms100×0valid
6.0ms44×1valid
Compiler

Compiled 164 to 131 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (40% of total)
ival-add: 3.0ms (40% of total)
ival-sub: 1.0ms (13.3% of total)
backward-pass: 1.0ms (13.3% of total)
const: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
9.276002903338857e-5
177345.19937927093
Results
8.0ms45×1valid
6.0ms99×0valid
Compiler

Compiled 128 to 113 computations (11.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43% of total)
ival-add: 3.0ms (32.2% of total)
ival-sub: 1.0ms (10.7% of total)
backward-pass: 1.0ms (10.7% of total)
const: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
9.276002903338857e-5
177345.19937927093
Results
7.0ms49×1valid
6.0ms95×0valid
Compiler

Compiled 92 to 86 computations (6.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.7% of total)
ival-add: 3.0ms (38.7% of total)
ival-sub: 1.0ms (12.9% of total)
backward-pass: 1.0ms (12.9% of total)
const: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
62×+-commutative_binary64
42×unsub-neg_binary64
34×neg-mul-1_binary64
30×*-commutative_binary64
22×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090332
1135332
2157332
3169332
4179332
5203332
6245332
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #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 330 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) beta) alpha))
(if (<=.f64 alpha #s(literal 11000000000 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))
(if (<=.f64 alpha #s(literal 7900000000 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))
(if (<=.f64 alpha #s(literal 2206763817411543/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))
(if (<=.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 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 -4494592428115755/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #s(literal 1 binary64)) beta) alpha) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (+.f64 beta (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))))) #s(literal 1 binary64))) alpha) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) #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 -4494592428115755/4503599627370496 binary64)) (/.f64 (+.f64 beta (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))))) #s(literal 1 binary64))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #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 -4494592428115755/4503599627370496 binary64)) (/.f64 (+.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 330 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) beta) alpha))
(if (<=.f64 alpha #s(literal 330 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))) alpha))
(if (<=.f64 alpha #s(literal 11000000000 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))
(if (<=.f64 alpha #s(literal 11000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))
(if (<=.f64 alpha #s(literal 7900000000 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))
(if (<=.f64 alpha #s(literal 7900000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))
(if (<=.f64 alpha #s(literal 2206763817411543/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))
(if (<=.f64 alpha #s(literal 2 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 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness2.2s (19.7%)

Rules
5610×+-lowering-+.f64
5610×+-lowering-+.f32
4618×+-lowering-+.f64
4618×+-lowering-+.f32
4356×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157520093
1569319435
0845419435
01040
18640
277640
0851540
04332427
115182236
256282187
081422187
0166714210
1610213769
0832913769
08536401
129936055
085026055
037240
1294205
23268201
08593201
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 613 to 301 computations (50.9% saved)

preprocess87.0ms (0.8%)

Compiler

Compiled 698 to 198 computations (71.6% saved)

end0.0ms (0%)

Profiling

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