Octave 3.8, jcobi/1

Time bar (total: 8.8s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze2.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Algorithm
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 21 to 15 computations (28.6% saved)

sample1.6s (18%)

Memory
-61.0MiB live, 1 817.2MiB allocated
Samples
605.0ms6 049×0valid
457.0ms1 512×1valid
148.0ms695×2valid
Precisions
Click to see histograms. Total time spent on operations: 846.0ms
ival-div: 403.0ms (47.6% of total)
ival-add: 197.0ms (23.3% of total)
ival-sub: 86.0ms (10.2% of total)
adjust: 81.0ms (9.6% of total)
ival->: 49.0ms (5.8% of total)
exact: 15.0ms (1.8% of total)
ival-and: 11.0ms (1.3% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain171.0ms (1.9%)

Memory
-23.5MiB live, 218.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
750-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-beta
00-0-(+.f64 alpha beta)
00-0-#s(literal 1 binary64)
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-alpha
00-0-(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
00-0-(-.f64 beta alpha)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation751
Confusion
Predicted +Predicted -
+750
-0181
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7500
-01180
Precision?
0.9868421052631579
Recall?
1.0
Freqs
test
numberfreq
0181
175
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms366×0valid
17.0ms112×1valid
7.0ms34×2valid
Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-add: 20.0ms (52.3% of total)
ival-div: 9.0ms (23.5% of total)
adjust: 5.0ms (13.1% of total)
ival-sub: 4.0ms (10.5% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess308.0ms (3.5%)

Memory
25.7MiB live, 97.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02671
17367
216767
344065
4116365
5280065
6555065
7640665
8667365
9679665
10682265
11682265
12687065
13696965
14696965
15696965
16707365
01013
01613
12813
24513
37313
413313
529213
657513
797813
8169313
9295513
10328013
11337813
12343213
13343413
14343413
15343413
0343412
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify130.0ms (1.5%)

Memory
-31.1MiB live, 62.5MiB allocated
Algorithm
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-diff512
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
01648
12848
24548
37348
413348
529248
657548
797848
8169348
9295548
10328048
11337848
12343248
13343448
14343448
15343448
0343447
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize53.0ms (0.6%)

Memory
3.4MiB live, 41.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy0.0
(+.f64 alpha beta)
accuracy0.03125
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy17.30937466213035
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
30.0ms56×1valid
11.0ms183×0valid
4.0ms17×2valid
Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (29.5% of total)
ival-add: 4.0ms (29.5% of total)
adjust: 2.0ms (14.7% of total)
ival-sub: 2.0ms (14.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
6 → 87
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
Outputs
(* 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 (/ 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))))
(/ 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)))
beta
(+ beta (* -1 alpha))
(+ alpha beta)
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 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)
(/ (+ 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
(- (/ 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 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta 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 (/ (- (* -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 (/ (- (* -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 (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- 1 (/ 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)))
(* -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))))))
(- beta alpha)
(+ 2 alpha)
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))))))
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))))))
(- (+ 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)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 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)))
(- (+ 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 (* -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)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
Calls

6 calls:

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

simplify162.0ms (1.8%)

Memory
12.6MiB live, 199.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04332206
113942067
246091878
087051750
Stop Event
iter limit
node limit
Counts
87 → 85
Calls
Call 1
Inputs
(* 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 (/ 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))))
(/ 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)))
beta
(+ beta (* -1 alpha))
(+ alpha beta)
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 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)
(/ (+ 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
(- (/ 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 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta 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 (/ (- (* -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 (/ (- (* -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 (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- 1 (/ 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)))
(* -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))))))
(- beta alpha)
(+ 2 alpha)
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))))))
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))))))
(- (+ 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)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 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)))
(- (+ 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 (* -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)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
Outputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(+ 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))))
(fma.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(+ 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))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(/ beta (+ 2 beta))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 beta #s(literal -2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ alpha beta)
(+.f64 alpha beta)
(+ 2 beta)
(-.f64 beta #s(literal -2 binary64))
(+ 2 (+ alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))))) alpha)
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1 binary64)))
(- (+ (/ 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 (fma.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
alpha
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) #s(literal -1/2 binary64)) alpha)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 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 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 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))
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)) alpha) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 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 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) 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)))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) 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)))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(- beta alpha)
(-.f64 beta alpha)
(+ 2 alpha)
(+.f64 #s(literal 2 binary64) alpha)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(- (+ 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 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) 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 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 beta))) #s(literal 1 binary64))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (neg.f64 beta))) beta))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) 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)))
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 2 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) 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)))
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 1 binary64))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta)

rewrite251.0ms (2.9%)

Memory
-7.2MiB live, 268.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
19144
274844
0866743
Stop Event
iter limit
node limit
iter limit
Counts
6 → 463
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.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 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.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 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.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 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.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 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 (-.f64 beta alpha) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal 2 binary64))) alpha)
(fma.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))) alpha)
(fma.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))

eval132.0ms (1.5%)

Memory
1.8MiB live, 172.7MiB allocated
Compiler

Compiled 16 463 to 2 397 computations (85.4% saved)

prune54.0ms (0.6%)

Memory
-28.0MiB live, 46.7MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New52517542
Fresh000
Picked101
Done000
Total52617543
Accuracy
100.0%
Counts
543 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
59.0%
(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
48.4%
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
58.8%
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
73.0%
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
65.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
72.9%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
73.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
48.2%
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
27.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
71.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
26.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
29.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
29.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
31.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
50.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
35.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 948 to 572 computations (39.7% saved)

simplify138.0ms (1.6%)

Memory
38.1MiB live, 237.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
cost-diff128
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
cost-diff512
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
cost-diff0
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
cost-diff0
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff0
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff384
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff0
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff17280
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047490
084540
1154536
2315529
3991417
44034415
08514412
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
#s(literal 1 binary64)
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 alpha beta)
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))
#s(literal -2 binary64)
beta
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
Outputs
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 alpha beta)
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)) (+.f64 #s(literal 1 binary64) beta))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(*.f64 (/.f64 (fma.f64 (-.f64 beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta))
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))
#s(literal -2 binary64)
beta
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)

localize177.0ms (2%)

Memory
8.9MiB live, 400.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.5224732173738948
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
accuracy1.2216992610741444
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
accuracy1.2563360619785642
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
accuracy44.1595205639418
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
accuracy0.0
(+.f64 alpha beta)
accuracy0.015625
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
accuracy0.1015625
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
accuracy17.30937466213035
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64))
accuracy0.0
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.0
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy0.0078125
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy46.2116145474697
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy41.427366770260086
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy0.03515625
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy0.05078125
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy0.0546875
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy17.310795445028102
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
Samples
67.0ms183×0valid
44.0ms56×1valid
20.0ms17×2valid
Compiler

Compiled 957 to 99 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-div: 32.0ms (31.6% of total)
ival-add: 27.0ms (26.6% of total)
ival-pow2: 10.0ms (9.9% of total)
ival-sub: 10.0ms (9.9% of total)
ival-mult: 10.0ms (9.9% of total)
adjust: 9.0ms (8.9% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series173.0ms (2%)

Memory
-0.4MiB live, 154.4MiB allocated
Counts
22 → 318
Calls
Call 1
Inputs
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(+.f64 alpha beta)
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
Outputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* alpha (+ (* -1/2 (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))))))))
(/ (pow beta 2) (pow (+ 2 beta) 2))
(+ (* -1 (/ (* alpha (* (pow beta 2) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 4))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* -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 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))
(+ 1 (+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))))
(/ (+ 2 beta) beta)
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta))))
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))))) (* 2 (/ 1 beta))))
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 3))) (* alpha (+ (* 2 (/ 1 (pow beta 3))) (* 2 (/ 1 (pow beta 4))))))))))) (* 2 (/ 1 beta))))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (pow alpha 2) (pow (+ 2 beta) 2))
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(+ 1 (+ (* -1 (/ (* alpha (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow beta 2))) (* 2 (/ 1 beta))))
(+ 1 (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))))) (/ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow beta 2)))) (* 2 (/ 1 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 beta) (* (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) beta)) (+ (/ (* (pow (+ 2 beta) 2) (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (pow beta 2)) (/ (* (pow (+ 2 beta) 3) (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow beta 3)))))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))))) (/ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow beta 2)))) (* 2 (/ 1 beta))))
beta
(+ alpha beta)
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2))
(/ (pow (+ 2 beta) 2) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (+ 2 (+ (* -2 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))) alpha)
(/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))))) (/ (* (pow beta 2) (+ 2 (* 2 beta))) (pow alpha 2))) alpha)
(/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)))))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (* (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 3))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))))))))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 2 (* 2 beta)) 2)) (pow alpha 3))) (+ (/ (* (pow beta 2) (+ 2 (* 2 beta))) (pow alpha 2)) (/ (* (pow beta 2) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 3))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha))) alpha)
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alpha
(* alpha (+ 1 (/ beta alpha)))
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(/ (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) alpha)) (pow beta 2)) (pow alpha 2))
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(/ (- beta (* -1 (+ 2 beta))) alpha)
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(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
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(/ (+ 2 alpha) alpha)
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(/ 4 alpha)
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2
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(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
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(* 2 (/ (pow beta 3) alpha))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) 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 alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
(+ 1 (* 2 (/ 1 beta)))
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2)))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -2 (- 4 (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3))) (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2))))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))))
(* beta (+ 1 (/ alpha beta)))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))))
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* alpha (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta)))
(+ 1 (* 1/2 (/ (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) (* -1/2 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* 1/2 (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))))) beta)) (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) beta)))
(+ 1 (* -2 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (+ (/ (pow alpha 2) beta) (/ (pow (+ 2 alpha) 2) beta))) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* 2 (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* 2 (pow (+ 2 alpha) 3)))) beta)) (+ (* -4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 2 alpha) 2) beta)) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* -2 (+ 2 alpha))) beta)))
(+ 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 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* 1/2 (- alpha (* -1 (+ 2 alpha)))) (* 1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta)))
(+ 2 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) beta)) alpha) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) beta)) (* alpha (- (* -1 (+ 2 alpha)) alpha))) beta))) alpha) beta)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 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 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 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 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(+ 1 (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -1 alpha))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (* -1 alpha))) (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3)))) beta)) (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
beta
@-inf
((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))
45.0ms
alpha
@inf
((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))
31.0ms
beta
@0
((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))
14.0ms
alpha
@0
((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))
14.0ms
alpha
@-inf
((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))

simplify351.0ms (4%)

Memory
-5.4MiB live, 272.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219417500
1758217500
0858216420
Stop Event
iter limit
node limit
Counts
318 → 316
Calls
Call 1
Inputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
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(* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(- (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4)) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(- (* beta (+ (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(- (* beta (+ (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (* beta (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(/ (pow beta 2) (pow (+ 2 alpha) 2))
(* (pow beta 2) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (/ 1 (pow (+ 2 alpha) 4))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (/ 1 (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (/ 1 (pow (+ 2 alpha) 4))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2))))
(+ (* 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)))))))))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))
(+ 1 (* -1 (/ alpha (+ 2 alpha))))
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
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(* -1 (/ (+ 2 alpha) alpha))
(+ (* -1 (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2)))))) (* -1 (/ (+ 2 alpha) alpha)))
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (+ (* -1 (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (* -1 (/ (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) alpha)))))
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (+ (* -1 (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (* beta (+ (* -1 (/ (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (pow alpha 2))) (* -1 (/ (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2)))) alpha)))))))
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))
(* 2 (- (* 4 (/ 1 alpha)) 2))
(- (* -1 (* beta (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (* 2 (/ 1 alpha)) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(/ (pow alpha 2) (pow (+ 2 alpha) 2))
(+ (* -1 (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(/ (+ 2 alpha) alpha)
(+ 1 (+ (* -1 (/ (* beta (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 2))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 alpha) (* (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) alpha)) (+ (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))) (pow alpha 2)) (/ (* (pow (+ 2 alpha) 3) (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 3)))))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 1 alpha))))
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1 (* beta (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2))))))))
(/ 4 alpha)
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (* -1 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))
(- (+ 2 (/ (* (pow alpha 2) (+ 2 (* 2 alpha))) (pow beta 3))) (+ (* -2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))))))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* -1/2 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/2 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2))) (* 1/2 (/ (- (* (pow alpha 2) (+ 2 (* 2 alpha))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))))))) (pow beta 3))))))
(+ 1 (* -1 (/ (+ 4 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))
(- (+ 1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (* -1 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(+ 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 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(+ 2 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 2 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 2 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)))
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))))
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) (pow beta 3))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)))))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) 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)))))
(* 2 (/ (pow beta 3) alpha))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) 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 alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
(+ 1 (* 2 (/ 1 beta)))
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2)))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -2 (- 4 (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3))) (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2))))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))))
(* beta (+ 1 (/ alpha beta)))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))))
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* alpha (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta)))
(+ 1 (* 1/2 (/ (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) (* -1/2 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* 1/2 (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))))) beta)) (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) beta)))
(+ 1 (* -2 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (+ (/ (pow alpha 2) beta) (/ (pow (+ 2 alpha) 2) beta))) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* 2 (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* 2 (pow (+ 2 alpha) 3)))) beta)) (+ (* -4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 2 alpha) 2) beta)) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* -2 (+ 2 alpha))) beta)))
(+ 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 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* 1/2 (- alpha (* -1 (+ 2 alpha)))) (* 1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta)))
(+ 2 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) beta)) alpha) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) beta)) (* alpha (- (* -1 (+ 2 alpha)) alpha))) beta))) alpha) beta)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 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 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 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 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(+ 1 (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -1 alpha))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (* -1 alpha))) (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3)))) beta)) (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
Outputs
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
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(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta)))) (neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) beta) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) beta) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta))))) alpha (neg.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) beta) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))))) alpha (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(+ (* 1/2 (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* alpha (+ (* -1/2 (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))))))))
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#s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) beta) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta 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(/ (pow beta 2) (pow (+ 2 beta) 2))
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(+ (* -1 (/ (* alpha (* (pow beta 2) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 4))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
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(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
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(+ (* alpha (- (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
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(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
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(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(/ -2 beta)
(/.f64 #s(literal -2 binary64) beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
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#s(literal -2 binary64)
(- (* -2 alpha) 2)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
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(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
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(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
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(+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ 1 (+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))
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(+ 1 (+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))))
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(/ (+ 2 beta) beta)
(/.f64 (+.f64 #s(literal 2 binary64) beta) beta)
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta))))
(+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))))) (* 2 (/ 1 beta))))
(+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 3))) (* alpha (+ (* 2 (/ 1 (pow beta 3))) (* 2 (/ 1 (pow beta 4))))))))))) (* 2 (/ 1 beta))))
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(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) (*.f64 alpha alpha))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) alpha)) (*.f64 alpha alpha))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))
(neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)
(/.f64 (fma.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) alpha)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 alpha #s(literal 3 binary64)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) alpha)) (pow.f64 alpha #s(literal 3 binary64)))
(/ (pow alpha 2) (pow (+ 2 beta) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
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(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
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(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
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(+ 1 (+ (* -1 (/ (* alpha (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow beta 2))) (* 2 (/ 1 beta))))
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(+ 1 (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))))) (/ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow beta 2)))) (* 2 (/ 1 beta))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(fma.f64 (/.f64 (fma.f64 (-.f64 alpha (neg.f64 (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) alpha) (neg.f64 (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal -1 binary64) #s(literal 2 binary64))
(+ 2 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta))) (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta) #s(literal -1 binary64) alpha) (neg.f64 (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal -1 binary64) #s(literal 2 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) beta)) alpha) beta)))
(fma.f64 (/.f64 (-.f64 (fma.f64 alpha (/.f64 (-.f64 (neg.f64 (+.f64 #s(literal 2 binary64) alpha)) alpha) beta) (neg.f64 (+.f64 #s(literal 2 binary64) alpha))) alpha) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) beta)) (* alpha (- (* -1 (+ 2 alpha)) alpha))) beta))) alpha) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (-.f64 (neg.f64 (+.f64 #s(literal 2 binary64) alpha)) alpha) beta))) (*.f64 (-.f64 (neg.f64 (+.f64 #s(literal 2 binary64) alpha)) alpha) alpha)) beta)) (neg.f64 alpha)) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1 binary64)) beta))) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1 binary64))) beta))) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))) beta)) (/.f64 #s(literal 2 binary64) alpha)) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) beta) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))) beta)) (/.f64 #s(literal 2 binary64) alpha)) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal -2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64)))) beta)) (/.f64 #s(literal 2 binary64) alpha)) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) alpha) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha)) beta))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta))) (/.f64 #s(literal 1 binary64) alpha)) beta))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64))))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal -2 binary64) (*.f64 alpha alpha)) (*.f64 beta beta))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)))) beta))) (*.f64 beta beta))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))) beta) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta))) (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))))) beta) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)))) beta))) (*.f64 beta beta))
(+ 1 (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) (fma.f64 (pow.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -1 alpha))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (* -1 alpha))) (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3)))) beta)) (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) (fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) (fma.f64 (pow.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta))) (fma.f64 (pow.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) beta) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) beta) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))))) beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))))) beta))) beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) (pow.f64 beta #s(literal 3 binary64))))

rewrite260.0ms (3%)

Memory
-19.9MiB live, 186.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047373
084371
1442309
24174309
08798309
Stop Event
iter limit
node limit
iter limit
Counts
22 → 542
Calls
Call 1
Inputs
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(+.f64 alpha beta)
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64))
(fma.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 6 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64)))) #s(literal -1 binary64))
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(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(*.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 alpha #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)))
(pow.f64 (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal 1 binary64)) alpha)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 (neg.f64 alpha)))
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha)
(/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))))
(neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 alpha #s(literal -1 binary64)))
(*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))
(*.f64 (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (pow.f64 alpha #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))
(pow.f64 (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 alpha)))
(/.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha)
(/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))
(neg.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (neg.f64 alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))

eval216.0ms (2.4%)

Memory
13.6MiB live, 206.9MiB allocated
Compiler

Compiled 51 519 to 5 512 computations (89.3% saved)

prune51.0ms (0.6%)

Memory
5.6MiB live, 52.8MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New9458953
Fresh4812
Picked325
Done000
Total95218970
Accuracy
100.0%
Counts
970 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
59.0%
(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
48.4%
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
59.0%
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
49.2%
(/.f64 (fma.f64 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
65.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
72.9%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
73.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
48.2%
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
31.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
71.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
31.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
26.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
50.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
27.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
27.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
35.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
27.2%
#s(approx (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (neg.f64 (/.f64 (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))))) alpha))) alpha))) alpha)))
Compiler

Compiled 1 088 to 650 computations (40.3% saved)

simplify185.0ms (2.1%)

Memory
-5.3MiB live, 104.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
cost-diff0
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))
cost-diff0
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
cost-diff0
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
cost-diff0
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64))
cost-diff512
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff1024
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
cost-diff0
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
cost-diff0
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
cost-diff0
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) beta)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
cost-diff0
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
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 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
cost-diff1216
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050436
080430
1143426
2239426
3430424
41013406
52644406
66222406
08158398
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
beta
alpha
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal -2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) beta)
beta
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(*.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
(-.f64 beta alpha)
beta
alpha
#s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)
(-.f64 beta #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 alpha beta)
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))
#s(literal 2 binary64)
(+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 beta alpha)
beta
alpha
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal -2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) beta)
beta
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(*.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(-.f64 beta alpha)
beta
alpha
#s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))
#s(approx (+ (+ alpha beta) 2) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64))
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)
(-.f64 beta #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64))))
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 alpha beta)
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64)))
#s(literal 1 binary64)

localize325.0ms (3.7%)

Memory
9.9MiB live, 217.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
accuracy0.2269325683790941
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))
accuracy15.045718695082998
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy32.32065230648977
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
accuracy0.0
#s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))
accuracy0.03125
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
accuracy5.26489928976741
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
accuracy17.30937466213035
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64))
accuracy0.0
(*.f64 #s(literal -2 binary64) alpha)
accuracy0.0078125
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
accuracy40.53863889417057
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
accuracy46.2116145474697
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) beta)
accuracy0.0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
accuracy18.59837950107235
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
accuracy46.2116145474697
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
accuracy0.03125
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
accuracy0.078125
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
accuracy17.30937466213035
(+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
Samples
113.0ms115×1valid
109.0ms118×0valid
19.0ms23×2valid
Compiler

Compiled 789 to 95 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-div: 50.0ms (37.7% of total)
adjust: 40.0ms (30.2% of total)
ival-add: 13.0ms (9.8% of total)
ival-sub: 12.0ms (9% of total)
ival-mult: 9.0ms (6.8% of total)
ival-pow: 7.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series144.0ms (1.6%)

Memory
-23.9MiB live, 89.4MiB allocated
Counts
24 → 248
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(*.f64 #s(literal -2 binary64) alpha)
#s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
Outputs
(* 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))))))))))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ 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))))
(/ 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 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(+ 2 beta)
(+ 2 (+ alpha beta))
(- (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
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alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(- (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ alpha (- alpha (* -1 (+ 2 alpha)))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))
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(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1 (/ (- (+ (* -1 (* (+ 2 alpha) (+ (* -1 (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))))))) (+ (* -1 (* (pow (+ 2 alpha) 2) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 4) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 4) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (+ (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 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alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (+ (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* 1/2 (/ (pow alpha 2) 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(* -1 (* beta (+ (* -1 (/ (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (/ alpha (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (+ (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (/ alpha (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) beta)) alpha) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) beta)) (* alpha (- (* -1 (+ 2 alpha)) alpha))) beta))) alpha) beta)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (/ (+ (* -2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta))
(* -1 (* beta (+ (* 1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha))))))) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
beta
@inf
((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)))
22.0ms
alpha
@0
((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)))
11.0ms
beta
@-inf
((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)))
11.0ms
alpha
@inf
((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)))
10.0ms
beta
@0
((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)))

simplify300.0ms (3.4%)

Memory
34.3MiB live, 307.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200423395
1668123395
0840722048
Stop Event
iter limit
node limit
Counts
248 → 246
Calls
Call 1
Inputs
(* 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))))))))))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
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(* 2 (/ alpha (+ 2 (* 2 beta))))
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(/ (+ 2 (* 2 beta)) alpha)
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(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
alpha
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Outputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(+ 2 (+ alpha beta))
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(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
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(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (* alpha (- (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
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(/ (pow beta 2) (pow (+ 2 beta) 2))
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* 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)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 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 (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 beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -2 binary64)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(/ (+ 2 beta) beta)
(/.f64 (+.f64 #s(literal 2 binary64) beta) beta)
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta))))
(+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))))) (* 2 (/ 1 beta))))
(+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 3))) (* alpha (+ (* 2 (/ 1 (pow beta 3))) (* 2 (/ 1 (pow beta 4))))))))))) (* 2 (/ 1 beta))))
(+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64)))) alpha (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(* -2 alpha)
(*.f64 #s(literal -2 binary64) alpha)
(- (* 2 (/ beta (+ 2 beta))) 2)
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64))
(- (+ (* -2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 2 (/ beta (+ 2 beta)))) 2)
(fma.f64 (*.f64 #s(literal -2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))) 2)
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha #s(literal -2 binary64)))
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))) 2)
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -2 binary64))) alpha #s(literal -2 binary64)))
(/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))
(+ (* 2 (/ (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(fma.f64 (*.f64 alpha (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64))))
(+ (* alpha (- (* -1 (* alpha (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -4 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (* 2 (/ (* (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))))))) (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal -4 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))))) alpha (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))
(/ (+ (* 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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) 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 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.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 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha))))) alpha)
(* 2 (/ alpha (+ 2 (* 2 beta))))
(*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) alpha) (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha)))) alpha)
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (pow.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)))))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 alpha alpha)))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) 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)
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 alpha alpha))))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (fma.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64)))))) alpha)
-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 (fma.f64 (/.f64 (*.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) #s(literal -1 binary64) (/.f64 beta alpha)) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64) #s(literal 1 binary64)))
(- (+ (/ 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 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 beta alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 1 binary64)))
(* -1 (/ alpha beta))
(/.f64 (neg.f64 alpha) beta)
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta))) alpha)
(* -2 (/ alpha beta))
(*.f64 (/.f64 alpha beta) #s(literal -2 binary64))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) beta)))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 beta alpha)) alpha)
(/ (- (+ (* -1/8 (- (* -1 beta) (+ 2 beta))) (* 1/2 beta)) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))))) alpha)
(/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) alpha)
(/ (- (+ (* -1/4 (/ (pow beta 2) alpha)) (+ (* -1/8 (- (* -1 beta) (+ 2 beta))) (+ (* 1/16 (/ (pow (- (* -1 beta) (+ 2 beta)) 2) alpha)) (+ (* 1/8 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 beta))))) (+ (* -1/4 (/ (* (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) (- (* 1/2 beta) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))))) alpha)) (+ (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))) (* 1/16 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))))) alpha))))) alpha)
(/.f64 (fma.f64 (/.f64 (*.f64 beta beta) alpha) #s(literal -1/4 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal 2 binary64)) alpha) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) beta)))) (fma.f64 #s(literal 1/16 binary64) (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta)))) alpha)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) alpha)))) alpha)
(/ (- (+ (* -1/2 (/ (* (+ (* 1/16 (pow (- (* -1 beta) (+ 2 beta)) 2)) (* 1/8 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* -1/4 (/ (pow beta 2) alpha)) (+ (* -1/8 (- (* -1 beta) (+ 2 beta))) (+ (* -1/8 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* -1/16 (/ (* (+ 2 beta) (pow (- (* -1 beta) (+ 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (pow (- (* -1 beta) (+ 2 beta)) 2) alpha)) (+ (* 1/8 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 beta)))))))) (+ (* -1/4 (/ (* (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) (- (* 1/2 beta) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))))))))) (pow alpha 2))) (+ (* -1/4 (/ (* (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) (- (* 1/2 beta) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))))) alpha)) (+ (* -1/4 (/ (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))))) (- (* 1/2 beta) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))))) (pow alpha 2))) (+ (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))) (+ (* 1/16 (/ (+ (* -4 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))))) (pow alpha 2))) (* 1/16 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))))) alpha)))))))) alpha)
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#s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) (*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta)))) #s(literal 1/16 binary64)))) alpha) (fma.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) alpha)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta))))) alpha) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) 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(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
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(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta))))) (+ (* -1/8 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/16 (* (+ 2 beta) (pow (- beta (* -1 (+ 2 beta))) 2))))) (+ (* -1/4 (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))))) (* 1/16 (+ (* -4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (+ (* -1/4 (pow beta 2)) (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (+ (* -1/2 beta) (* -1/8 (- beta (* -1 (+ 2 beta)))))) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (+ 2 beta) (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta)))))) (+ (* -1/2 (* (+ (* -1/2 (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta))))) (+ (* -1/8 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/16 (* (+ 2 beta) (pow (- beta (* -1 (+ 2 beta))) 2))))) (- beta (* -1 (+ 2 beta))))) (+ (* -1/8 (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta))))) (* 1/16 (* (pow (+ 2 beta) 2) (pow (- beta (* -1 (+ 2 beta))) 2)))))) (+ (* -1/4 (* (+ (* -4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (+ (* -1/4 (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))))) (+ (* 1/16 (+ (* -4 (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta))))))) (* 1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (+ (* -1/4 (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))))) (* 1/16 (+ (* -4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))))))))))) alpha)) (+ (* -1/2 (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta))))) (+ (* -1/8 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/16 (* (+ 2 beta) (pow (- beta (* -1 (+ 2 beta))) 2)))))) (+ (* -1/4 (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))))) (* 1/16 (+ (* -4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (+ (* -1/4 (pow beta 2)) (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (+ (* -1/2 beta) (* -1/8 (- beta (* -1 (+ 2 beta)))))) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha))
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#s(literal 8 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal -1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 (fma.f64 (*.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal 1/16 binary64)))) (*.f64 (*.f64 (*.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 1/16 binary64)))))) alpha) #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 beta beta) (-.f64 (fma.f64 (pow.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal -1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 (fma.f64 (*.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal 1/16 binary64)))))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal -1/8 binary64) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (*.f64 #s(literal -1/2 binary64) beta)) (*.f64 (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/16 binary64)))) alpha))
(- (* -1 (/ (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha)) 1/4)
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2
#s(literal 2 binary64)
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(-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))))))))))))
(* -1/2 (/ beta (- alpha (* -1 (+ 2 alpha)))))
(*.f64 (/.f64 beta (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal -1/2 binary64))
(* beta (- (/ alpha (* beta (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
(*.f64 (-.f64 (/.f64 alpha (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta)) (fma.f64 (/.f64 #s(literal 1/4 binary64) beta) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) beta)
(* beta (- (+ (* -1/2 (/ (pow alpha 2) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (/ alpha (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* -1/2 (/ (* (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))) (* (pow beta 2) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (+ (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 beta beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (/.f64 alpha (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta))) (fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (*.f64 beta beta)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 beta beta)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) beta) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))))) beta)
(* beta (- (+ (* -1 (/ (+ (* -1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1/2 (/ (* (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* -1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1/2 (/ (* (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))))) (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha)))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (pow beta 3))) (+ (* -1/2 (/ (pow alpha 2) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (/ alpha (* beta (- alpha (* -1 (+ 2 alpha))))))) (+ (* -1/2 (/ (* (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))) (* (pow beta 2) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (+ (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (/.f64 (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 alpha alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (/.f64 (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (-.f64 alpha (+.f64 #s(literal -2 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(pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) beta) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))))))) beta)
(- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)))
(- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(-.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta))) (/.f64 #s(literal 4 binary64) beta))))
(- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 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))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(-.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) alpha)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64)))))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta))) (/.f64 #s(literal 4 binary64) beta))))
(+ 1 (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)))
(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta) (/.f64 alpha beta) (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) (pow beta 3))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 alpha alpha) (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta)) (neg.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta) (/.f64 alpha beta)))) #s(literal 1 binary64))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 alpha beta)) beta)
(* -2 (/ (- alpha (* -1 (+ 2 alpha))) beta))
(*.f64 (/.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta) #s(literal -2 binary64))
(/ (+ (* -2 (- alpha (* -1 (+ 2 alpha)))) (* 2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) beta)
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta)) #s(literal 2 binary64) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal -2 binary64))) beta)
(/ (+ (* -2 (- alpha (* -1 (+ 2 alpha)))) (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))) (* 2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)))) beta)
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(/ (+ (* -2 (- alpha (* -1 (+ 2 alpha)))) (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))) (+ (* 2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3)))))) beta)
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(* beta (- (* -1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))
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(* beta (- (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2))) (+ (* 1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
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(* beta (- (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))))) (pow beta 3))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))))
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(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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(+ 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)))
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(+ 1 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
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(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(* -1 (* beta (- (* -1 (/ (* alpha (+ 1 (* 2 (/ 1 alpha)))) beta)) 1)))
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(- (+ (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ alpha (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))
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(- (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ alpha (- alpha (* -1 (+ 2 alpha)))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))
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(neg.f64 (/.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) beta))) beta))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta))
(neg.f64 (/.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (/.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) beta))) beta))) beta))
(* -1 (* beta (+ (* 1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))))
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha))))))) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))))
(* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 0 binary64))) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 0 binary64))) beta) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))))

rewrite279.0ms (3.2%)

Memory
-15.3MiB live, 266.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050365
080350
1417346
23421346
08984339
Stop Event
iter limit
node limit
iter limit
Counts
24 → 669
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(*.f64 #s(literal -2 binary64) alpha)
#s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.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 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(neg.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))
(fma.f64 (-.f64 alpha beta) (*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))))
(+.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64)))))
(*.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))))

eval203.0ms (2.3%)

Memory
3.7MiB live, 386.4MiB allocated
Compiler

Compiled 59 544 to 4 737 computations (92% saved)

prune24.0ms (0.3%)

Memory
31.3MiB live, 79.3MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New9784982
Fresh4711
Picked325
Done112
Total986141 000
Accuracy
100.0%
Counts
1 000 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
48.4%
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
49.2%
(/.f64 (fma.f64 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
33.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
84.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)))
98.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
31.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
71.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
31.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
26.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
50.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
27.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
27.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
35.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 814 to 515 computations (36.7% saved)

simplify127.0ms (1.4%)

Memory
-27.7MiB live, 213.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))
cost-diff0
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)))
cost-diff0
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
cost-diff0
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
cost-diff0
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) beta)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
cost-diff0
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
cost-diff6336
(fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
cost-diff6464
(*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065544
097544
1175544
2352541
3977526
43787516
08295511
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
#s(literal 1 binary64)
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
#s(literal 2 binary64)
(fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
alpha
(/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))
(/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
beta
(pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) beta)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
alpha
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
#s(literal 1 binary64)
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
alpha
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
beta
alpha
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
#s(literal 4 binary64)
(*.f64 alpha alpha)
alpha
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
(*.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))))
alpha
(/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))
beta
(pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) beta)
(-.f64 beta #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))
(/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 binary64))
#s(literal 1 binary64)
beta
alpha
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))
#s(literal 1 binary64)
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))
alpha
(+.f64 #s(literal 2 binary64) alpha)
(-.f64 alpha #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
beta
alpha
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha)))) alpha))
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha)))) alpha)
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)))
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha)))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
#s(literal 4 binary64)
(*.f64 alpha alpha)
alpha
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)

localize189.0ms (2.1%)

Memory
13.2MiB live, 451.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.4357636723511288
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
accuracy0.5224732173738948
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)
accuracy12.728860796599303
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)))
accuracy44.1595205639418
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
accuracy0.0
(-.f64 beta alpha)
accuracy0.0
(+.f64 alpha beta)
accuracy0.03125
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
accuracy17.307588178115626
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
accuracy0.0078125
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
accuracy17.349089488730616
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
accuracy20.540670929642705
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
accuracy0.0
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy0.0
(+.f64 #s(literal 1 binary64) beta)
accuracy44.12793692750331
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy0.015625
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
accuracy0.01953125
(fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
accuracy0.0234375
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy8.683225545349577
(/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
Samples
64.0ms168×0valid
55.0ms62×1valid
26.0ms26×2valid
Compiler

Compiled 938 to 128 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-div: 36.0ms (32.8% of total)
ival-add: 22.0ms (20% of total)
ival-mult: 15.0ms (13.7% of total)
adjust: 14.0ms (12.8% of total)
ival-sub: 11.0ms (10% of total)
ival-pow2: 9.0ms (8.2% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
9.7MiB live, 87.2MiB allocated
Counts
23 → 227
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
(fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))
(/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 alpha beta)
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
Outputs
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(/ 1 (+ 1 (/ beta (+ 2 beta))))
(+ (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (/ 1 (+ 1 (/ beta (+ 2 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))))))))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(/ (+ 1 beta) alpha)
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
1
(+ 1 (* -1/2 alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(/ 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)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/ 4 (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(+ alpha beta)
(* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))))
(* alpha (+ (* 2 (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))
(* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))
(* alpha (+ (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))))
(* 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)
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1
(- (/ 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 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))
(* alpha (+ 1 (/ beta alpha)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))))
(/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(* -1 (* alpha (- (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1 (/ (- (* -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 (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* 2 (+ 1 (* 1/2 alpha)))
(+ (* -2 (* beta (+ 1/2 (* 1/2 alpha)))) (* 2 (+ 1 (* 1/2 alpha))))
(+ (* 2 (+ 1 (* 1/2 alpha))) (* beta (+ (* -2 (+ 1/2 (* 1/2 alpha))) (* 2 (* beta (- 1/2 (* -1/2 alpha)))))))
(+ (* 2 (+ 1 (* 1/2 alpha))) (* beta (+ (* -2 (+ 1/2 (* 1/2 alpha))) (* beta (+ (* -2 (* beta (+ 1/2 (* 1/2 alpha)))) (* 2 (- 1/2 (* -1/2 alpha))))))))
(+ 1 (* 1/2 alpha))
(+ 1 (+ (* -1 (* beta (+ 1/2 (* 1/2 alpha)))) (* 1/2 alpha)))
(+ 1 (+ (* 1/2 alpha) (* beta (- (* beta (- 1/2 (* -1/2 alpha))) (+ 1/2 (* 1/2 alpha))))))
(+ 1 (+ (* 1/2 alpha) (* beta (- (* beta (- (+ 1/2 (* -1 (* beta (+ 1/2 (* 1/2 alpha))))) (* -1/2 alpha))) (+ 1/2 (* 1/2 alpha))))))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(/ 2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))
(+ (/ 1 alpha) (/ beta alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* -1 (/ 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))))))
(- beta alpha)
(+ 2 alpha)
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))
(* 1/4 beta)
(* beta (+ 1/4 (* -1/4 beta)))
(* beta (+ 1/4 (* beta (- (* 3/16 beta) 1/4))))
(* beta (+ 1/4 (* beta (- (* beta (+ 3/16 (* -1/8 beta))) 1/4))))
(+ 1 (* beta (+ 1 (* -1/4 beta))))
(+ 1 (* beta (+ 1 (* beta (- (* 1/16 (pow beta 2)) 1/4)))))
(+ 1 (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)))
(+ 1 (+ (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)) (* 2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) (pow beta 2)))))
(+ 1 (+ (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)) (+ (* 2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) (pow beta 2))) (* 2 (/ (- (+ 1/2 (* 4 alpha)) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 3))))))
(+ 1/2 (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ 1 beta))))
(- (+ 1/2 (+ (* -3/2 (/ alpha (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ 1 beta))))) (+ (* -1 (/ alpha (pow beta 2))) (/ 1/2 (pow beta 2))))
(- (+ 1/2 (+ (* -3/2 (/ alpha (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (+ (* 4 (/ alpha (pow beta 3))) (+ (* 1/2 (/ 1 beta)) (* 1/2 (/ 1 (pow beta 3)))))))) (+ (* -2 (/ (- (* -3/2 alpha) (* -1 alpha)) (pow beta 3))) (+ (* -1 (/ alpha (pow beta 2))) (+ (* 5/2 (/ alpha (pow beta 3))) (/ 1/2 (pow beta 2))))))
(+ 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 (* 1/2 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3)))) (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/4 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ 1 (/ 1 beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(- (+ 1 (* -1 (/ 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)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) 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 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) 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)))))
(/ 1 beta)
(/ (- 1 (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 12 (pow beta 2))) (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 12 (pow beta 2))) (+ (* 4 (/ 1 beta)) (* 32 (/ 1 (pow beta 3))))) beta)
4
(- 4 (* 8 (/ 1 beta)))
(- (+ 4 (/ 20 (pow beta 2))) (* 8 (/ 1 beta)))
(- (+ 4 (/ 20 (pow beta 2))) (+ (* 8 (/ 1 beta)) (* 48 (/ 1 (pow beta 3)))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* -2 (/ (- (* -1/2 alpha) 1/2) beta)))
(+ 1 (* -1 (/ (+ (* -2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta)) (* 2 (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta)))
(+ 1/2 (* -1 (/ (- (* -1/2 alpha) 1/2) beta)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) beta)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3/2 alpha) (* -1 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta))) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) 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 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (/ (pow (- (* -1 alpha) (+ 2 alpha)) 2) beta))) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 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)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 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 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 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 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (/ (- (* 4 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 beta)) 4) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 beta)) 12) beta)) 4) beta)) 1) beta))
(+ 4 (* -1 (/ (- 8 (* 20 (/ 1 beta))) beta)))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 20 (* 48 (/ 1 beta))) beta))) beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
alpha
@0
((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ alpha beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha)))
6.0ms
alpha
@-inf
((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ alpha beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha)))
5.0ms
alpha
@inf
((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ alpha beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha)))
3.0ms
beta
@inf
((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ alpha beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha)))
2.0ms
beta
@0
((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ alpha beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha)))

simplify192.0ms (2.2%)

Memory
-18.3MiB live, 301.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012216868
139166646
081576313
Stop Event
iter limit
node limit
Counts
227 → 225
Calls
Call 1
Inputs
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(/ 1 (+ 1 (/ beta (+ 2 beta))))
(+ (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (/ 1 (+ 1 (/ beta (+ 2 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))))))))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(/ (+ 1 beta) alpha)
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
1
(+ 1 (* -1/2 alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(/ 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)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/ 4 (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(+ alpha beta)
(* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))))
(* alpha (+ (* 2 (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))
(* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))
(* alpha (+ (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))))
(* 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)
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1
(- (/ 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 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))
(* alpha (+ 1 (/ beta alpha)))
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
(* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))))
(/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(* -1 (* alpha (- (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1 (/ (- (* -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 (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* 2 (+ 1 (* 1/2 alpha)))
(+ (* -2 (* beta (+ 1/2 (* 1/2 alpha)))) (* 2 (+ 1 (* 1/2 alpha))))
(+ (* 2 (+ 1 (* 1/2 alpha))) (* beta (+ (* -2 (+ 1/2 (* 1/2 alpha))) (* 2 (* beta (- 1/2 (* -1/2 alpha)))))))
(+ (* 2 (+ 1 (* 1/2 alpha))) (* beta (+ (* -2 (+ 1/2 (* 1/2 alpha))) (* beta (+ (* -2 (* beta (+ 1/2 (* 1/2 alpha)))) (* 2 (- 1/2 (* -1/2 alpha))))))))
(+ 1 (* 1/2 alpha))
(+ 1 (+ (* -1 (* beta (+ 1/2 (* 1/2 alpha)))) (* 1/2 alpha)))
(+ 1 (+ (* 1/2 alpha) (* beta (- (* beta (- 1/2 (* -1/2 alpha))) (+ 1/2 (* 1/2 alpha))))))
(+ 1 (+ (* 1/2 alpha) (* beta (- (* beta (- (+ 1/2 (* -1 (* beta (+ 1/2 (* 1/2 alpha))))) (* -1/2 alpha))) (+ 1/2 (* 1/2 alpha))))))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(/ 2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))
(+ (/ 1 alpha) (/ beta alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* -1 (/ 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))))))
(- beta alpha)
(+ 2 alpha)
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))
(* 1/4 beta)
(* beta (+ 1/4 (* -1/4 beta)))
(* beta (+ 1/4 (* beta (- (* 3/16 beta) 1/4))))
(* beta (+ 1/4 (* beta (- (* beta (+ 3/16 (* -1/8 beta))) 1/4))))
(+ 1 (* beta (+ 1 (* -1/4 beta))))
(+ 1 (* beta (+ 1 (* beta (- (* 1/16 (pow beta 2)) 1/4)))))
(+ 1 (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)))
(+ 1 (+ (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)) (* 2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) (pow beta 2)))))
(+ 1 (+ (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)) (+ (* 2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) (pow beta 2))) (* 2 (/ (- (+ 1/2 (* 4 alpha)) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 3))))))
(+ 1/2 (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ 1 beta))))
(- (+ 1/2 (+ (* -3/2 (/ alpha (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ 1 beta))))) (+ (* -1 (/ alpha (pow beta 2))) (/ 1/2 (pow beta 2))))
(- (+ 1/2 (+ (* -3/2 (/ alpha (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (+ (* 4 (/ alpha (pow beta 3))) (+ (* 1/2 (/ 1 beta)) (* 1/2 (/ 1 (pow beta 3)))))))) (+ (* -2 (/ (- (* -3/2 alpha) (* -1 alpha)) (pow beta 3))) (+ (* -1 (/ alpha (pow beta 2))) (+ (* 5/2 (/ alpha (pow beta 3))) (/ 1/2 (pow beta 2))))))
(+ 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 (* 1/2 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3)))) (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/4 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ 1 (/ 1 beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(- (+ 1 (* -1 (/ 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)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) 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 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) 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)))))
(/ 1 beta)
(/ (- 1 (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 12 (pow beta 2))) (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 12 (pow beta 2))) (+ (* 4 (/ 1 beta)) (* 32 (/ 1 (pow beta 3))))) beta)
4
(- 4 (* 8 (/ 1 beta)))
(- (+ 4 (/ 20 (pow beta 2))) (* 8 (/ 1 beta)))
(- (+ 4 (/ 20 (pow beta 2))) (+ (* 8 (/ 1 beta)) (* 48 (/ 1 (pow beta 3)))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* -2 (/ (- (* -1/2 alpha) 1/2) beta)))
(+ 1 (* -1 (/ (+ (* -2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta)) (* 2 (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta)))
(+ 1/2 (* -1 (/ (- (* -1/2 alpha) 1/2) beta)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) beta)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3/2 alpha) (* -1 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta))) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) 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 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (/ (pow (- (* -1 alpha) (+ 2 alpha)) 2) beta))) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 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)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 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 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 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 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (/ (- (* 4 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 beta)) 4) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 beta)) 12) beta)) 4) beta)) 1) beta))
(+ 4 (* -1 (/ (- 8 (* 20 (/ 1 beta))) beta)))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 20 (* 48 (/ 1 beta))) beta))) beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Outputs
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(+ (* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (*.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(/ 1 (+ 1 (/ beta (+ 2 beta))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(+ (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (/ 1 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) alpha (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 alpha))
(fma.f64 #s(literal -1/2 binary64) alpha #s(literal 1 binary64))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) alpha #s(literal 1/4 binary64)) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64))
(* 1/2 alpha)
(*.f64 #s(literal 1/2 binary64) alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) alpha)
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha)
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha)
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 alpha #s(literal 3 binary64)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) alpha)) (pow.f64 alpha #s(literal 3 binary64)))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) alpha)) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(/.f64 (fma.f64 (-.f64 alpha #s(literal 2 binary64)) alpha #s(literal 4 binary64)) (*.f64 alpha alpha))
(+ alpha beta)
(+.f64 beta alpha)
(* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))))
(*.f64 (*.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))))
(* alpha (+ (* 2 (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha alpha))) alpha)
(* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (+ (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))
(/ (+ (* 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 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) 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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.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 (/ (- (* -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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))))) alpha)
(* 2 (/ alpha (+ 2 (* 2 beta))))
(*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64))) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) alpha)
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)))))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) alpha))) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 16 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha)
(- 1 (* 2 (/ 1 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) alpha)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(*.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal -1/2 binary64) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha)
-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) beta) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 beta alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1 binary64)))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/.f64 (+.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha))) alpha)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) beta) #s(literal 1 binary64))
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))
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(* alpha (+ 1 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))
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(* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))))
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(/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(* -1 (* alpha (- (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64))
(* -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) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) beta)) #s(literal -1/4 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) beta) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta))) beta)) beta))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) (*.f64 beta alpha)) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) alpha) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha)) beta)))) beta) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta))) (/.f64 #s(literal 1 binary64) alpha))) beta))) beta) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) #s(literal -1/2 binary64) #s(literal -1 binary64)) beta)))) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) #s(literal -1/2 binary64) #s(literal -1 binary64))) beta))) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* -1 (/ (- (* 4 (/ 1 beta)) 1) beta))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -1 binary64) #s(literal 1 binary64)) beta)
(* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 beta)) 4) beta)) 1) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 12 binary64) beta) #s(literal 4 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 beta)) 12) beta)) 4) beta)) 1) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 32 binary64) beta) #s(literal 12 binary64)) beta) #s(literal -1 binary64) #s(literal -4 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta))
(+ 4 (* -1 (/ (- 8 (* 20 (/ 1 beta))) beta)))
(-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 20 binary64) beta)) beta))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 20 (* 48 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 20 binary64) (/.f64 #s(literal 48 binary64) beta)) beta)) beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)))

rewrite178.0ms (2%)

Memory
6.7MiB live, 325.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065439
097436
1524436
24631436
09254418
Stop Event
iter limit
node limit
iter limit
Counts
23 → 506
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
(fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))
(/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 alpha beta)
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
Outputs
(*.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) alpha) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) alpha) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -4 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) alpha)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) alpha) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -6 binary64)) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -4 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) alpha) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(fma.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (neg.f64 (-.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (-.f64 alpha beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha))))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) beta alpha)
(fma.f64 beta #s(literal 1 binary64) alpha)
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))
(+.f64 beta alpha)
(+.f64 alpha beta)
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 alpha #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) alpha) (pow.f64 alpha #s(literal -1 binary64)))
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) alpha))
(*.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 (neg.f64 alpha) alpha) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 2 binary64) alpha))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 alpha #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 alpha (*.f64 alpha #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 alpha (/.f64 #s(literal 4 binary64) alpha)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 alpha #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 alpha #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) alpha)) (neg.f64 alpha))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) (neg.f64 alpha))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (*.f64 alpha #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) alpha)) (neg.f64 alpha))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (/.f64 #s(literal 4 binary64) alpha) alpha)
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 alpha) alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) alpha) (*.f64 alpha #s(literal 1/2 binary64)))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 alpha) alpha)))
(/.f64 #s(literal 4 binary64) (pow.f64 (neg.f64 alpha) #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 alpha) (*.f64 alpha #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 alpha #s(literal 1/2 binary64)) (neg.f64 alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (/.f64 #s(literal 4 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 alpha #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 alpha #s(literal 1/2 binary64)) alpha))
(/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 alpha #s(literal 1/2 binary64))))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))

eval232.0ms (2.6%)

Memory
1.2MiB live, 282.0MiB allocated
Compiler

Compiled 34 350 to 3 839 computations (88.8% saved)

prune61.0ms (0.7%)

Memory
-10.0MiB live, 75.0MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New7219730
Fresh426
Picked325
Done033
Total72816744
Accuracy
100.0%
Counts
744 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
71.0%
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
33.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
72.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))))
31.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
31.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
8.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
27.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
27.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
48.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
48.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
26.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
49.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
35.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
50.1%
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
Compiler

Compiled 1 614 to 594 computations (63.2% saved)

regimes156.0ms (1.8%)

Memory
14.4MiB live, 131.9MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
#s(approx (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (neg.f64 (/.f64 (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))))) alpha))) alpha))) alpha)))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
Calls

5 calls:

66.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
34.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
31.0ms
beta
11.0ms
alpha
10.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
98.5%1alpha
98.5%1beta
98.5%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.5%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.5%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes83.0ms (0.9%)

Memory
8.4MiB live, 89.8MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
Calls

5 calls:

29.0ms
beta
27.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
10.0ms
alpha
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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
94.8%2alpha
99.9%2beta
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 35 to 30 computations (14.3% saved)

regimes87.0ms (1%)

Memory
-22.9MiB live, 53.5MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

4 calls:

37.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
32.0ms
beta
8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
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)))
99.1%2beta
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes52.0ms (0.6%)

Memory
-11.2MiB live, 33.3MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
Calls

3 calls:

38.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
7.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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 33 to 26 computations (21.2% saved)

regimes19.0ms (0.2%)

Memory
29.6MiB live, 29.6MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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 33 to 26 computations (21.2% saved)

regimes30.0ms (0.3%)

Memory
-9.8MiB live, 28.4MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

18.0ms
(/.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))
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.7%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.7%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.7%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes35.0ms (0.4%)

Memory
-6.9MiB live, 30.9MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

4 calls:

19.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms
beta
5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
94.2%2beta
98.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes10.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.2%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.2%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.2%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes27.0ms (0.3%)

Memory
-24.9MiB live, 13.7MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

20.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
97.9%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
97.9%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
97.9%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes14.0ms (0.2%)

Memory
25.6MiB live, 25.6MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

5 calls:

3.0ms
alpha
3.0ms
beta
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
70.5%2beta
72.3%2alpha
93.5%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.5%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
93.5%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
93.3%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.3%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
93.3%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes14.0ms (0.2%)

Memory
-31.3MiB live, 11.7MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

3 calls:

9.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
93.2%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.2%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
93.2%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes9.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

5 calls:

2.0ms
alpha
2.0ms
beta
2.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
70.3%2beta
54.6%2alpha
70.3%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
70.3%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
70.3%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

5 calls:

1.0ms
beta
1.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
alpha
1.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
35.3%1alpha
35.3%1beta
35.3%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
35.3%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
35.3%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch40.0ms (0.5%)

Memory
-19.7MiB live, 19.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
38.0ms
15148801454.08222
3320574214609.2847
Samples
4.0ms77×0valid
3.0ms26×1valid
2.0ms2valid
Compiler

Compiled 520 to 358 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33% of total)
ival-add: 2.0ms (33% of total)
adjust: 1.0ms (16.5% of total)
ival-sub: 1.0ms (16.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999989323
-0.9999610054039058
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999989323
-0.9999610054039058
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999989323
-0.9999610054039058
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999989323
-0.9999610054039058
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9885323932360336
-6.341523688465012e-8
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5323854356625725e-6
0.9994857830982488
0.0ms
-0.9999999999989323
-0.9999610054039058
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5323854356625725e-6
0.9994857830982488
0.0ms
-0.9885323932360336
-6.341523688465012e-8
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5323854356625725e-6
0.9994857830982488
0.0ms
-0.9885323932360336
-6.341523688465012e-8
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5323854356625725e-6
0.9994857830982488
0.0ms
-0.9885323932360336
-6.341523688465012e-8
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5323854356625725e-6
0.9994857830982488
0.0ms
-0.9885323932360336
-6.341523688465012e-8
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5323854356625725e-6
0.9994857830982488
Compiler

Compiled 16 to 16 computations (0% saved)

simplify79.0ms (0.9%)

Memory
-3.6MiB live, 34.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134967
1200967
2296967
3475967
4824967
51590967
63885967
77225967
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
(if (<=.f64 beta #s(literal 3200000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))
(pow.f64 #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(if (<=.f64 beta #s(literal 3200000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 3200000000000 binary64)) (pow.f64 #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)) #s(literal -1 binary64)) (pow.f64 #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -1 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 -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))))
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(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness1.3s (15.3%)

Memory
19.6MiB live, 1 133.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050365
080350
1417346
23421346
08984339
04332206
113942067
246091878
087051750
047373
084371
1442309
24174309
08798309
012216868
139166646
081576313
0200423395
1668123395
0840722048
0219417500
1758217500
0858216420
01044
01644
19144
274844
0866743
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 453 to 498 computations (65.7% saved)

preprocess77.0ms (0.9%)

Memory
-6.3MiB live, 148.3MiB allocated
Compiler

Compiled 1 960 to 296 computations (84.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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