Octave 3.8, jcobi/1

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
3.5MiB live, 3.5MiB 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)

sample1.5s (19.7%)

Memory
-34.9MiB live, 1 828.3MiB allocated
Samples
497.0ms6 086×0valid
411.0ms742×2valid
265.0ms1 428×1valid
Precisions
Click to see histograms. Total time spent on operations: 890.0ms
ival-div: 414.0ms (46.5% of total)
ival-add: 205.0ms (23% of total)
adjust: 110.0ms (12.4% of total)
ival-sub: 74.0ms (8.3% of total)
ival->: 58.0ms (6.5% of total)
exact: 15.0ms (1.7% of total)
ival-and: 11.0ms (1.2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain190.0ms (2.4%)

Memory
6.5MiB live, 282.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
740-0-(+.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))cancellation740
Confusion
Predicted +Predicted -
+740
-0182
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7400
-00182
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0182
174
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms368×0valid
13.0ms94×1valid
11.0ms50×2valid
Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-add: 26.0ms (58% of total)
ival-div: 9.0ms (20.1% of total)
adjust: 5.0ms (11.2% of total)
ival-sub: 4.0ms (8.9% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess367.0ms (4.7%)

Memory
-44.0MiB live, 129.6MiB 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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify99.0ms (1.3%)

Memory
31.2MiB live, 68.8MiB 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)

localize36.0ms (0.5%)

Memory
5.6MiB live, 43.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy0.0
(+.f64 alpha beta)
accuracy0.037441259768442016
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy16.979045810149074
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
13.0ms184×0valid
9.0ms25×2valid
7.0ms47×1valid
Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 5.0ms (34.6% of total)
ival-add: 5.0ms (34.6% of total)
adjust: 2.0ms (13.9% of total)
ival-sub: 2.0ms (13.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
-20.2MiB live, 26.9MiB 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
31.0ms
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
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
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))

simplify221.0ms (2.8%)

Memory
17.3MiB live, 203.7MiB 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 (3.2%)

Memory
-18.7MiB live, 331.2MiB 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)))

eval100.0ms (1.3%)

Memory
26.4MiB live, 222.7MiB allocated
Compiler

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

prune47.0ms (0.6%)

Memory
-17.1MiB live, 64.3MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New53111542
Fresh000
Picked101
Done000
Total53211543
Accuracy
99.9%
Counts
543 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
51.5%
(/.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))
73.4%
(/.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))))))
34.6%
#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)))
71.3%
#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)))
29.4%
#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))
29.3%
#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))
30.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
29.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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))
43.9%
#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)))
41.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 518 to 364 computations (29.7% saved)

simplify235.0ms (3%)

Memory
7.1MiB live, 196.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
030204
048201
195201
2166201
3341199
4828194
52003194
64557194
75905194
86541194
96943194
107113194
117181194
08141194
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
#s(literal 1/2 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 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
beta
(-.f64 beta #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/2 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 #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))))))
#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)))))
#s(literal -2 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
#s(literal -1 binary64)
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(+.f64 alpha beta)
Outputs
(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 alpha beta) (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(+.f64 alpha beta)
(+.f64 beta alpha)
#s(literal 1/2 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 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
beta
(-.f64 beta #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/2 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 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) 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))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta))
(/.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 #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))))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1/2 binary64))
#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 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
#s(literal -2 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
(+.f64 alpha beta)
(+.f64 beta alpha)

localize132.0ms (1.7%)

Memory
-7.7MiB live, 255.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.037441259768442016
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy0.05859375
(/.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))))))
accuracy0.08984375
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))
accuracy16.979045810149074
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
accuracy0.0
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy0.01596665172363414
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.0234375
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy41.83965508890085
#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)))
accuracy0.0
(-.f64 beta #s(literal -2 binary64))
accuracy0.01171875
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy0.01171875
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
accuracy18.379454917578432
#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)))
accuracy37.709616876422025
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy0.0
(+.f64 alpha beta)
accuracy0.037441259768442016
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy16.976462992396534
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Samples
36.0ms184×0valid
25.0ms26×2valid
23.0ms46×1valid
Compiler

Compiled 395 to 63 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-div: 17.0ms (27.5% of total)
adjust: 17.0ms (27.5% of total)
ival-add: 11.0ms (17.8% of total)
ival-sub: 8.0ms (12.9% of total)
ival-mult: 7.0ms (11.3% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
14.1MiB live, 51.3MiB allocated
Counts
17 → 175
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 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 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(-.f64 beta #s(literal -2 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 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.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 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(+.f64 alpha beta)
Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ (* 1/2 (/ 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))))))))))
(/ 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 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 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))))))))))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(+ (* -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)))))))))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ (* (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(* -1 (+ 1 (/ beta (+ 2 beta))))
(- (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta))))
(- (* alpha (- (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (+ 1 (/ beta (+ 2 beta))))
(- (* alpha (- (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (+ 1 (/ beta (+ 2 beta))))
beta
(+ alpha beta)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (+ (* 2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))))))) (pow alpha 3))) (+ (* -2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))))
(/ (- (* -1 beta) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (- (* -1 beta) (+ 2 beta)))) alpha)
(/ (- (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)) (+ (* -1 (- (* -1 beta) (+ 2 beta))) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (- (* -1 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (- (* -1 beta) (+ 2 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* 2 (/ alpha (- beta (* -1 (+ 2 beta)))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta))))))) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))) (+ (* -1 (/ (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ 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 (+ (* -1/2 (/ 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 (/ 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))))))
(+ alpha (* -1 beta))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 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)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
2
(+ 2 beta)
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
(* 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))))))))))
(/ 2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))) (+ (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3) (+ 2 alpha)))))))) (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(* -1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(- (* -1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(- (* beta (- (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(- (* beta (- (* beta (- (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
1
(+ 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))))))
(+ 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)))))
(* beta (- (/ alpha beta) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2)))) (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (* (+ 2 alpha) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (* (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3)))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (+ (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) (pow beta 2))) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(- (/ alpha beta) (+ 2 (* -1 (/ (+ 2 alpha) beta))))
(- (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))) (+ 2 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))))
(- (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3)) (+ 2 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 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 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* 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)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) 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)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) beta))) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)) (+ (* -1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* 1/4 (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)))) (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(- (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)) 2)
(- (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) alpha) beta)) 2)
(- (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta))) alpha) beta)) 2)
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
alpha
@-inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))) (+ alpha beta))
6.0ms
beta
@0
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))) (+ alpha beta))
5.0ms
alpha
@0
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))) (+ alpha beta))
4.0ms
alpha
@inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))) (+ alpha beta))
4.0ms
beta
@-inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))) (+ alpha beta))

simplify198.0ms (2.5%)

Memory
2.9MiB live, 193.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08585098
128054650
086384435
Stop Event
iter limit
node limit
Counts
175 → 173
Calls
Call 1
Inputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ (* 1/2 (/ 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))))))))))
(/ 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 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 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))))))))))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(+ (* -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)))))))))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ (* (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(* -1 (+ 1 (/ beta (+ 2 beta))))
(- (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta))))
(- (* alpha (- (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (+ 1 (/ beta (+ 2 beta))))
(- (* alpha (- (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (+ 1 (/ beta (+ 2 beta))))
beta
(+ alpha beta)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (+ (* 2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))))))) (pow alpha 3))) (+ (* -2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))))
(/ (- (* -1 beta) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (- (* -1 beta) (+ 2 beta)))) alpha)
(/ (- (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)) (+ (* -1 (- (* -1 beta) (+ 2 beta))) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (- (* -1 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (- (* -1 beta) (+ 2 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* 2 (/ alpha (- beta (* -1 (+ 2 beta)))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta))))))) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))) (+ (* -1 (/ (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ 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 (+ (* -1/2 (/ 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 (/ 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))))))
(+ alpha (* -1 beta))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 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)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
2
(+ 2 beta)
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
(* 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))))))))))
(/ 2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))) (+ (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3) (+ 2 alpha)))))))) (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(* -1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(- (* -1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(- (* beta (- (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(- (* beta (- (* beta (- (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
1
(+ 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))))))
(+ 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)))))
(* beta (- (/ alpha beta) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2)))) (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (* (+ 2 alpha) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (* (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3)))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (+ (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) (pow beta 2))) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(- (/ alpha beta) (+ 2 (* -1 (/ (+ 2 alpha) beta))))
(- (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))) (+ 2 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))))
(- (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3)) (+ 2 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 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 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* 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)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) 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)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) beta))) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)) (+ (* -1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* 1/4 (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)))) (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(- (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)) 2)
(- (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) alpha) beta)) 2)
(- (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta))) alpha) beta)) 2)
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Outputs
(+ 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)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 alpha #s(literal -1/2 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))) (fma.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 (* 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 alpha #s(literal -1/2 binary64)) (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)))) 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 (+ (* 1/2 (/ 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 alpha #s(literal -1/2 binary64)) (fma.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)))) alpha (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))))) (*.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)))
(/ 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)))
(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 (+ (* -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)))
(fma.f64 (neg.f64 alpha) (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)))) 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 (+ (* -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)))
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.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)))) alpha (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))))) (neg.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))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(* -1 beta)
(neg.f64 beta)
(- alpha beta)
(-.f64 alpha beta)
(* -1 (+ 2 beta))
(-.f64 #s(literal -2 binary64) beta)
(- (* -1 alpha) (+ 2 beta))
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)
(* 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 alpha #s(literal -1/2 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))) (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 alpha #s(literal 1/2 binary64)) (+.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 (/.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) (*.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 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.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)
-2
#s(literal -2 binary64)
(- (* -2 alpha) 2)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
(+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 alpha #s(literal -1/2 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))) (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 (* 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 alpha #s(literal -1/2 binary64)) (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)))) 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)) (* -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 alpha #s(literal -1/2 binary64)) (fma.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)))) alpha (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))))) (*.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 (+ 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 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (/.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))) alpha) (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 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.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))))) alpha (*.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))) (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 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ (* (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (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)))) (/.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 3 binary64))) (/.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)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.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))) (/.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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))))) alpha (*.f64 #s(literal -2 binary64) (+.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))) (/.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))))) alpha (*.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))) (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 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(* -1 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64))
(- (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta))))
(-.f64 (fma.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))) alpha #s(literal -1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(- (* alpha (- (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (+ 1 (/ beta (+ 2 beta))))
(-.f64 (fma.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)))) 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 #s(literal -1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(- (* alpha (- (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (+ 1 (/ beta (+ 2 beta))))
(-.f64 (fma.f64 (fma.f64 (fma.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)))) alpha (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))))) 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 #s(literal -1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
beta
(+ alpha beta)
(+.f64 beta alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))))) alpha)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1 binary64))
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (-.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1 binary64)))
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (-.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1 binary64))))
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) alpha)
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) alpha)
(* 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 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (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 2 binary64))) (*.f64 alpha alpha))) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -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 -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha alpha)))) (+.f64 #s(literal 1 binary64) beta)) alpha)
(* -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 #s(literal -2 binary64) (/.f64 alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha))
(* -2 alpha)
(*.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(*.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal -2 binary64))
(* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 alpha alpha)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha)
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (+ (* 2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))))))) (pow alpha 3))) (+ (* -2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) beta #s(literal 0 binary64))) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.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) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) alpha))) (/.f64 #s(literal -2 binary64) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))))) alpha)
(/ (- (* -1 beta) (+ 2 beta)) alpha)
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)
(/ (- (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (- (* -1 beta) (+ 2 beta)))) alpha)
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(/ (- (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)) (+ (* -1 (- (* -1 beta) (+ 2 beta))) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(/ (- (* -1 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (- (* -1 beta) (+ 2 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/.f64 (-.f64 (/.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))) (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 alpha alpha)) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha 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 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.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) beta)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) alpha) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(fma.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha)) alpha) #s(literal -1 binary64) #s(literal -1 binary64))
(* -1 (* alpha (- (/ beta alpha) 1)))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) 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 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (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 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.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) beta)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) alpha)) (neg.f64 alpha))
(* 2 (/ alpha (- beta (* -1 (+ 2 beta)))))
(*.f64 (/.f64 alpha (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 2 binary64))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta))))))) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))) (+ (* -1 (/ (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) (/.f64 (fma.f64 #s(literal 0 binary64) beta #s(literal 0 binary64)) alpha)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) #s(literal 0 binary64))) alpha) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))
(* -1 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)
(* -1 (/ (- (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1 (- beta (* -1 (+ 2 beta))))) alpha))
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1 (- beta (* -1 (+ 2 beta))))) alpha))
(/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha))) (neg.f64 alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1 (- beta (* -1 (+ 2 beta))))) alpha))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(*.f64 #s(literal 1/2 binary64) (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)))))
(+ 1/2 (+ (* -1/2 (/ 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))))))))
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(+ 1/2 (+ (* -1/2 (/ 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)))))))))))
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(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ 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)))
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(+ (* -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))))))
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(+ alpha (* -1 beta))
(-.f64 alpha beta)
(* -1 (+ 2 alpha))
(-.f64 #s(literal -2 binary64) alpha)
(- (* -1 beta) (+ 2 alpha))
(-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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(+ (* 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)))))))
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(+ (* 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.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))) #s(literal 1/2 binary64))) beta (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
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(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))
(- (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3)) (+ 2 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (pow.f64 beta #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)))
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)))) beta)) beta))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 alpha (-.f64 #s(literal -2 binary64) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 alpha (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))) beta)) (-.f64 #s(literal -2 binary64) alpha)) beta))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(neg.f64 (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 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) 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 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #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 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)))) beta)) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) beta)) beta))
(+ 1 (* -1 (/ (+ (* 1/2 (- alpha (* -1 (+ 2 alpha)))) (* 1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)))) beta)) beta))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) beta))) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) beta) #s(literal -1/4 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal 1/2 binary64)))) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)) (+ (* -1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* 1/4 (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)))) (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 beta)) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64))) beta))
(- (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)) 2)
(neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)))
(- (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) alpha) beta)) 2)
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta) #s(literal -1 binary64) #s(literal -2 binary64))
(- (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta))) alpha) beta)) 2)
(fma.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))) beta)) alpha) beta) #s(literal -1 binary64) #s(literal -2 binary64))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 beta))

rewrite251.0ms (3.2%)

Memory
-15.5MiB live, 273.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030166
048163
1267163
22222163
08613163
Stop Event
iter limit
node limit
iter limit
Counts
17 → 421
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 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 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(-.f64 beta #s(literal -2 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 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.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 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(+.f64 alpha beta)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(pow.f64 (exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)))) (*.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)))))
(fma.f64 (neg.f64 (-.f64 alpha beta)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 alpha beta) (neg.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (neg.f64 (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (+.f64 beta alpha))
(*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)))
(*.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 (-.f64 (*.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (*.f64 beta beta))) (pow.f64 (-.f64 alpha beta) #s(literal 2 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)))))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))
(+.f64 beta alpha)
(+.f64 alpha beta)

eval122.0ms (1.6%)

Memory
16.1MiB live, 167.2MiB allocated
Compiler

Compiled 21 217 to 2 689 computations (87.3% saved)

prune66.0ms (0.9%)

Memory
-3.4MiB live, 70.2MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New67414688
Fresh336
Picked235
Done000
Total67920699
Accuracy
100.0%
Counts
699 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
70.5%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
73.1%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
72.9%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
43.9%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.8%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
41.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
87.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
71.3%
#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)))
29.3%
#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))
30.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
29.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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))
34.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
34.8%
#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))))
39.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
38.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
39.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
35.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
43.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
41.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 915 to 657 computations (28.2% saved)

simplify149.0ms (1.9%)

Memory
6.1MiB live, 162.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)
cost-diff0
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta)
cost-diff0
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
cost-diff320
(*.f64 (+.f64 #s(literal 1 binary64) alpha) #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
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
cost-diff1024
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
cost-diff1472
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053370
074370
1144340
2270334
3554334
41536305
56785297
08462291
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
#s(literal 1 binary64)
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
#s(literal -2 binary64)
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 #s(literal -2 binary64) beta)
beta
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
alpha
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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))))
#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) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta)
(*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
#s(literal -1 binary64)
beta
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)
(-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
alpha
(-.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 beta #s(literal -1 binary64)))))
#s(literal 1 binary64)
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 beta #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(/.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 beta #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (-.f64 beta #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(/.f64 #s(literal -2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))
#s(literal -2 binary64)
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(-.f64 #s(literal -2 binary64) beta)
beta
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)
(+.f64 #s(literal 2 binary64) beta)
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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))))
#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) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #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)))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta)
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) alpha)
(+.f64 #s(literal 1 binary64) alpha)
(-.f64 alpha #s(literal -1 binary64))
#s(literal 1 binary64)
alpha
#s(literal -1 binary64)
beta
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))))
#s(literal 1 binary64)
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)))
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)
(/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)
(-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))
alpha
(-.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)

localize243.0ms (3.1%)

Memory
-11.4MiB live, 272.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)
accuracy0.03125
(-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
accuracy0.05859375
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy37.90201239017363
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0.0
(*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64))
accuracy0.01596665172363414
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64))
accuracy0.0234375
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta)
accuracy41.83965508890085
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) beta)
accuracy0.01596665172363414
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
accuracy18.427443936144808
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
accuracy41.83965508890085
#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))))
accuracy18.379454917578432
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy21.05189318080939
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy0.02734375
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
accuracy0.05859375
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
accuracy0.14453125
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
accuracy7.801488448811565
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
Samples
89.0ms184×0valid
54.0ms47×1valid
49.0ms25×2valid
Compiler

Compiled 629 to 107 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-add: 52.0ms (32.8% of total)
ival-sub: 44.0ms (27.8% of total)
adjust: 25.0ms (15.8% of total)
ival-div: 24.0ms (15.2% of total)
ival-mult: 13.0ms (8.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory
14.8MiB live, 48.6MiB allocated
Counts
20 → 140
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ (+ (* 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)
(*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta)
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
Outputs
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(* 1/2 (+ 1 (/ 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)))))))))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ (* (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 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 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
-1
(- (* -1 alpha) 1)
(/ -1 beta)
(- (* -1 (/ alpha beta)) (/ 1 beta))
(+ 1 (/ 1 beta))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(/ 2 beta)
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
2
(+ 2 (* 2 alpha))
(/ 2 (+ 2 (* 2 beta)))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (+ (* 2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))))))) (pow alpha 3))) (+ (* -2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 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)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/ alpha beta)
(* alpha (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* 2 (/ alpha beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* 2 alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* 2 (/ alpha (- beta (* -1 (+ 2 beta)))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta))))))) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))) (+ (* -1 (/ (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ (+ 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(+ 1 (* 2 (/ 1 alpha)))
(+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha))))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (+ 1 (/ 1 alpha))))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
(* 1/2 (+ 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))))))))))
(/ 2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))) (+ (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3) (+ 2 alpha)))))))) (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 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)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- beta 1) beta)
(/ 1 beta)
(* -1 (/ (+ 1 alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(* 1/2 (/ (+ 2 (* 2 alpha)) beta))
(/ (+ beta (* 1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ 2 (* 2 alpha)) beta)
-2
(- (* -2 beta) 2)
(/ 1 alpha)
(+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow beta 3)))))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
1
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
(+ 1 (* -1/2 (/ (- 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))))))
(+ 1 (* 1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2)))) (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (* (+ 2 alpha) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (* (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3)))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (+ (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) (pow beta 2))) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (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 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* 1/2 (/ (+ 2 (* 2 alpha)) beta)))
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(+ (* -1 (/ (- (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(+ 1 (* -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)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) beta))) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)) (+ (* -1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* 1/4 (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)))) (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (- alpha (* -1 (+ 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 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
beta
@inf
((+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 alpha) -1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (* (+ 1 alpha) -1) beta) 1) (/ (* (+ 1 alpha) -1) beta) (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (- alpha (- -2 alpha)) beta) (- (- -2 beta) beta) (- alpha (- -2 alpha)))
5.0ms
alpha
@0
((+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 alpha) -1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (* (+ 1 alpha) -1) beta) 1) (/ (* (+ 1 alpha) -1) beta) (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (- alpha (- -2 alpha)) beta) (- (- -2 beta) beta) (- alpha (- -2 alpha)))
3.0ms
beta
@0
((+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 alpha) -1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (* (+ 1 alpha) -1) beta) 1) (/ (* (+ 1 alpha) -1) beta) (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (- alpha (- -2 alpha)) beta) (- (- -2 beta) beta) (- alpha (- -2 alpha)))
3.0ms
alpha
@-inf
((+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 alpha) -1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (* (+ 1 alpha) -1) beta) 1) (/ (* (+ 1 alpha) -1) beta) (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (- alpha (- -2 alpha)) beta) (- (- -2 beta) beta) (- alpha (- -2 alpha)))
3.0ms
beta
@-inf
((+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 alpha) -1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (* (+ 1 alpha) -1) beta) 1) (/ (* (+ 1 alpha) -1) beta) (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (- alpha (- -2 alpha)) beta) (- (- -2 beta) beta) (- alpha (- -2 alpha)))

simplify186.0ms (2.4%)

Memory
12.7MiB live, 173.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07153914
122563486
278873465
082873276
Stop Event
iter limit
node limit
Counts
140 → 140
Calls
Call 1
Inputs
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(* 1/2 (+ 1 (/ 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)))))))))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ (* (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 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 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
-1
(- (* -1 alpha) 1)
(/ -1 beta)
(- (* -1 (/ alpha beta)) (/ 1 beta))
(+ 1 (/ 1 beta))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(/ 2 beta)
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
2
(+ 2 (* 2 alpha))
(/ 2 (+ 2 (* 2 beta)))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (+ (* 2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))))))) (pow alpha 3))) (+ (* -2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 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)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/ alpha beta)
(* alpha (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* 2 (/ alpha beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* 2 alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* 2 (/ alpha (- beta (* -1 (+ 2 beta)))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta))))))) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))) (+ (* -1 (/ (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (- (* -1 (/ (+ 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(+ 1 (* 2 (/ 1 alpha)))
(+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha))))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (+ 1 (/ 1 alpha))))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
(* 1/2 (+ 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))))))))))
(/ 2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))) (+ (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3) (+ 2 alpha)))))))) (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 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)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- beta 1) beta)
(/ 1 beta)
(* -1 (/ (+ 1 alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(* 1/2 (/ (+ 2 (* 2 alpha)) beta))
(/ (+ beta (* 1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ 2 (* 2 alpha)) beta)
-2
(- (* -2 beta) 2)
(/ 1 alpha)
(+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow beta 3)))))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
1
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
(+ 1 (* -1/2 (/ (- 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))))))
(+ 1 (* 1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2)))) (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (* (+ 2 alpha) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (* (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3)))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (+ (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) (pow beta 2))) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (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 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* 1/2 (/ (+ 2 (* 2 alpha)) beta)))
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(+ (* -1 (/ (- (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(+ 1 (* -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)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) beta))) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)) (+ (* -1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* 1/4 (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)))) (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (- alpha (* -1 (+ 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 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
Outputs
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 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)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) 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 (* 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 (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)))) 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)))) #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)) (* -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) alpha) (fma.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)))) alpha (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 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/ 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 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha (/.f64 alpha (+.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))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.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))) (/.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (*.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))) (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 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ (* (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.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))) (/.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 alpha) (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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (*.f64 (+.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))) (/.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)))) (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) (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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 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)))) (/.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)))))))) alpha (*.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))) (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 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) 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)))) (* 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)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) 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 (/.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) (*.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)
-1
#s(literal -1 binary64)
(- (* -1 alpha) 1)
(-.f64 #s(literal -1 binary64) alpha)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(- (* -1 (/ alpha beta)) (/ 1 beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(+ 1 (/ 1 beta))
(+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(+ 1 (+ (/ 1 beta) (/ alpha beta)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
(/ 2 beta)
(/.f64 #s(literal 2 binary64) beta)
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(fma.f64 (/.f64 #s(literal 2 binary64) beta) alpha (/.f64 #s(literal 2 binary64) beta))
2
#s(literal 2 binary64)
(+ 2 (* 2 alpha))
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
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(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (+ (* 2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))))))) (pow alpha 3))) (+ (* -2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) beta))) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) beta) #s(literal -1/4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta))) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)) (+ (* -1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* 1/4 (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)))) (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 beta))) beta))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) 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 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #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 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta))

rewrite225.0ms (2.9%)

Memory
-10.9MiB live, 144.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053329
074329
1437299
24186299
08379297
Stop Event
iter limit
node limit
iter limit
Counts
20 → 346
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ (+ (* 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)
(*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta)
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
Outputs
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -3 binary64)) #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal -2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal -2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -3 binary64)) #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -3 binary64)) #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) #s(literal -2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1 binary64))) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64))) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))
(/.f64 (fma.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) alpha) (*.f64 alpha (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))
(/.f64 (fma.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 alpha #s(literal -2 binary64))) (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) (*.f64 (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 1 binary64))) (*.f64 (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64))) (*.f64 (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal -2 binary64))) (*.f64 (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha))) (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (+.f64 alpha (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) alpha))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)))) (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha))) (*.f64 (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (fma.f64 #s(literal 2 binary64) alpha (*.f64 (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) (*.f64 (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)))) (*.f64 (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))
(/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) alpha))) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)))) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) (neg.f64 beta)))
(/.f64 (-.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)) (+.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 beta beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (neg.f64 beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 beta beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))))
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (pow.f64 (+.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 beta))
(fma.f64 (-.f64 #s(literal -8 binary64) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (fma.f64 beta (-.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 beta))
(fma.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64)) (neg.f64 beta))
(fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (*.f64 beta beta) (+.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 3 binary64)) (fma.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))))
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 #s(literal -2 binary64) (-.f64 beta (neg.f64 beta)))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) beta))
(+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))
(+.f64 (-.f64 #s(literal -2 binary64) beta) (neg.f64 beta))
(+.f64 #s(literal -2 binary64) (-.f64 (neg.f64 beta) beta))
(+.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1 binary64) beta (neg.f64 beta)))
(+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) beta)))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 alpha alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)) (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha))
(/.f64 (+.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 alpha alpha) (*.f64 (-.f64 alpha #s(literal -2 binary64)) alpha))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)))
(/.f64 (neg.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 alpha alpha))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (neg.f64 (-.f64 #s(literal -2 binary64) alpha))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha (neg.f64 (-.f64 #s(literal -2 binary64) alpha))))))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 alpha alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) alpha) alpha)
(fma.f64 #s(literal 1 binary64) alpha (-.f64 alpha #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (-.f64 #s(literal -2 binary64) alpha)))
(fma.f64 alpha #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))
(fma.f64 alpha #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -2 binary64) alpha)))
(-.f64 (/.f64 (*.f64 alpha alpha) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)))
(-.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 alpha alpha))) (/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 alpha alpha))))
(-.f64 (-.f64 alpha #s(literal -2 binary64)) (neg.f64 alpha))
(-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(+.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)
(+.f64 (neg.f64 (-.f64 #s(literal -2 binary64) alpha)) alpha)
(+.f64 alpha (-.f64 alpha #s(literal -2 binary64)))
(+.f64 alpha (neg.f64 (-.f64 #s(literal -2 binary64) alpha)))

eval145.0ms (1.9%)

Memory
-11.1MiB live, 72.8MiB allocated
Compiler

Compiled 20 641 to 2 458 computations (88.1% saved)

prune34.0ms (0.4%)

Memory
1.2MiB live, 40.3MiB allocated
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New5017508
Fresh11112
Picked325
Done033
Total50523528
Accuracy
100.0%
Counts
528 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
70.5%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
73.1%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
72.9%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
43.9%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.8%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
87.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
41.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))))
9.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 alpha beta))))
35.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))))
65.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
71.3%
#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)))
29.3%
#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))
30.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
29.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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))
34.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
37.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
34.8%
#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))))
39.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
38.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
39.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
43.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
41.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 1 075 to 762 computations (29.1% saved)

simplify131.0ms (1.7%)

Memory
27.8MiB live, 64.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
cost-diff0
(-.f64 alpha beta)
cost-diff0
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
cost-diff0
(-.f64 #s(literal -2 binary64) alpha)
cost-diff0
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
cost-diff0
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
cost-diff0
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(+.f64 #s(literal 2 binary64) alpha)
cost-diff0
#s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))
cost-diff0
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
cost-diff0
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
cost-diff0
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
cost-diff512
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
cost-diff1024
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057374
081374
1153356
2272356
3537356
41300318
54527303
08516299
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
#s(literal 1 binary64)
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(+.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))
beta
#s(literal -2 binary64)
alpha
(/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 #s(literal -2 binary64) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
beta
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(literal 1 binary64)
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))
#s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
alpha
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(-.f64 alpha beta)
alpha
beta
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
#s(literal 1/2 binary64)
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(+.f64 beta alpha)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 beta #s(literal -1 binary64)))))
#s(literal 1 binary64)
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 beta #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(/.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 beta #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (-.f64 beta #s(literal -1 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))
beta
#s(literal -2 binary64)
alpha
(/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(/.f64 #s(literal -2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(-.f64 #s(literal -2 binary64) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
beta
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (-.f64 alpha #s(literal -2 binary64)))))
#s(literal 1 binary64)
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (-.f64 alpha #s(literal -2 binary64))))
#s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))
#s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (-.f64 alpha #s(literal -2 binary64)))
(+.f64 #s(literal 2 binary64) alpha)
(-.f64 alpha #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(-.f64 alpha beta)
alpha
beta
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
#s(literal 1/2 binary64)
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(+.f64 beta alpha)

localize247.0ms (3.2%)

Memory
-32.9MiB live, 139.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
accuracy0.0
(+.f64 beta alpha)
accuracy0.03515625
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
accuracy17.300316468891506
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
accuracy0.0
(-.f64 #s(literal -2 binary64) alpha)
accuracy0.0234375
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
accuracy16.976462992396534
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy32.656317234919655
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
accuracy0.0
(+.f64 #s(literal 2 binary64) alpha)
accuracy0.0
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))
accuracy0.05859375
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
accuracy22.063079001464565
#s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))
accuracy0.0
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
accuracy18.379454917578432
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
accuracy24.068945850353376
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
accuracy0.02734375
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
accuracy0.05859375
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
accuracy0.14453125
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
accuracy7.797582198811565
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
Samples
122.0ms184×0valid
49.0ms26×2valid
41.0ms46×1valid
Compiler

Compiled 625 to 111 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult: 62.0ms (49.5% of total)
ival-div: 21.0ms (16.8% of total)
ival-add: 17.0ms (13.6% of total)
ival-sub: 14.0ms (11.2% of total)
adjust: 11.0ms (8.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
21 → 204
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))
#s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) alpha)
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(-.f64 #s(literal -2 binary64) alpha)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(-.f64 alpha beta)
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(+.f64 beta alpha)
Outputs
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(* 1/2 (+ 1 (/ 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)))))))))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ (* (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 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
(+ 2 alpha)
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ (* 1/2 (/ 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))))))))))
(/ 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)
(* alpha (- (* 1/4 alpha) 1/2))
(* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))
(* alpha (- (* alpha (+ 1/4 (* alpha (- (* 1/16 alpha) 1/8)))) 1/2))
-2
(- (* -1 alpha) 2)
(* -1 beta)
(- alpha beta)
(/ -1/2 (+ 2 beta))
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
beta
(+ alpha beta)
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* 2 (/ (+ (* 2 (/ 1 (+ 2 (* 2 beta)))) (/ beta (+ 2 (* 2 beta)))) alpha)) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(/ 2 (+ 2 (* 2 beta)))
(+ (* 2 (/ (+ (* 2 (/ 1 (+ 2 (* 2 beta)))) (/ beta (+ 2 (* 2 beta)))) alpha)) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (+ (* 2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))))))) (pow alpha 3))) (+ (* -2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 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)
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* alpha (+ 1 (* -1 (/ beta alpha))))
(/ -1/2 alpha)
(/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha)))) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 beta) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* alpha (+ 1 (/ beta alpha)))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* 2 (/ alpha (- beta (* -1 (+ 2 beta)))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta))))))) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))) (+ (* -1 (/ (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -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))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(+ (* 2 (* beta (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha)))))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* 2 (* beta (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2))) (* 2 (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))))))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* 2 (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))))) (* beta (+ (* 2 (* beta (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha)))))))) (* 2 (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2)))))))
(+ 1 (* 2 (/ 1 alpha)))
(+ 1 (+ (* 2 (* beta (- (* 1/2 (/ 1 alpha)) (* 1/2 (+ 1 (* 2 (/ 1 alpha))))))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (+ (* 2 (* beta (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))))) (* 2 (- (* 1/2 (/ 1 alpha)) (* 1/2 (+ 1 (* 2 (/ 1 alpha))))))))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (+ (* 2 (- (* 1/2 (/ 1 alpha)) (* 1/2 (+ 1 (* 2 (/ 1 alpha)))))) (* beta (+ (* 2 (* beta (- (* 1/2 (/ 1 alpha)) (* 1/2 (+ 1 (* 2 (/ 1 alpha))))))) (* 2 (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))))))))))
(* 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))))))))))
(/ 2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))) (+ (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3) (+ 2 alpha)))))))) (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 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)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ 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 (+ (* -1/2 (/ 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 (/ 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))))))
(+ alpha (* -1 beta))
(/ -1/2 (+ 2 alpha))
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (* -2 beta) 2)
1
(+ 1 (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta)))
(+ 1 (+ (* 2 (/ (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha)))))) (pow beta 2))) (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta))))
(+ 1 (+ (* 2 (/ (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha)))))) (pow beta 2))) (+ (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta)) (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) (pow beta 3))))))
(/ 1 alpha)
(+ (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta)) (/ 1 alpha))
(+ (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta)) (+ (* 2 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (+ 1 (* 2 (/ 1 alpha))))) (pow beta 2))) (/ 1 alpha)))
(+ (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta)) (+ (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) (pow beta 3))) (+ (* 2 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (+ 1 (* 2 (/ 1 alpha))))) (pow beta 2))) (/ 1 alpha))))
(+ 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))))))
(+ 1 (* 1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2)))) (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (* (+ 2 alpha) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (* (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3)))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (+ (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) (pow beta 2))) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (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 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(* 1/4 beta)
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
(+ 1 (* -1 (/ (- alpha (* -1 (+ 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)))))
(* beta (- (/ alpha beta) 1))
(/ -1/2 beta)
(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)
(/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta)))) beta)
(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta)
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -2 (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2)) (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -2 (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2)) (* -1 (/ (+ (* -2 (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2)) (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta))) beta))) beta)))
(+ (* -1 (/ (+ (* -2 (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta))) beta)) (/ 1 alpha))
(+ (* -1 (/ (+ (* -2 (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (* -1 (/ (+ (* -2 (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta))) beta))) beta)) (/ 1 alpha))
(+ 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)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) beta))) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)) (+ (* -1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* 1/4 (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)))) (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (- alpha (* -1 (+ 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 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 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 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
alpha
@0
((* (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) alpha) (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+ 2 alpha) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ alpha (- -2 alpha)) (- -2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (- -2 beta) beta) (+ beta alpha))
3.0ms
alpha
@-inf
((* (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) alpha) (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+ 2 alpha) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ alpha (- -2 alpha)) (- -2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (- -2 beta) beta) (+ beta alpha))
3.0ms
alpha
@inf
((* (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) alpha) (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+ 2 alpha) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ alpha (- -2 alpha)) (- -2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (- -2 beta) beta) (+ beta alpha))
2.0ms
beta
@-inf
((* (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) alpha) (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+ 2 alpha) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ alpha (- -2 alpha)) (- -2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (- -2 beta) beta) (+ beta alpha))
2.0ms
beta
@0
((* (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) alpha) (* (+ (/ (- beta -2) alpha) 1) (/ -2 (- (- -2 beta) beta))) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ 1 (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta)))))) (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+ 2 alpha) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ alpha (- -2 alpha)) (- -2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (- -2 beta) beta) (+ beta alpha))

simplify283.0ms (3.6%)

Memory
-16.7MiB live, 219.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010165777
132315337
084625005
Stop Event
iter limit
node limit
Counts
204 → 202
Calls
Call 1
Inputs
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(* 1/2 (+ 1 (/ 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)))))))))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ (* (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 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
(+ 2 alpha)
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ (* 1/2 (/ 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))))))))))
(/ 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)
(* alpha (- (* 1/4 alpha) 1/2))
(* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))
(* alpha (- (* alpha (+ 1/4 (* alpha (- (* 1/16 alpha) 1/8)))) 1/2))
-2
(- (* -1 alpha) 2)
(* -1 beta)
(- alpha beta)
(/ -1/2 (+ 2 beta))
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
beta
(+ alpha beta)
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* 2 (/ (+ (* 2 (/ 1 (+ 2 (* 2 beta)))) (/ beta (+ 2 (* 2 beta)))) alpha)) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(/ 2 (+ 2 (* 2 beta)))
(+ (* 2 (/ (+ (* 2 (/ 1 (+ 2 (* 2 beta)))) (/ beta (+ 2 (* 2 beta)))) alpha)) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* alpha (- (* -1 (/ (+ (* -2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (+ (* 2 (/ (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (/ (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))))))) (pow alpha 3))) (+ (* -2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (+ 2 beta) (* alpha (- (* -1 beta) (+ 2 beta))))) (+ (* 2 (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (- (* -1 beta) (+ 2 beta))))) (* 2 (/ 1 (- (* -1 beta) (+ 2 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)
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* alpha (+ 1 (* -1 (/ beta alpha))))
(/ -1/2 alpha)
(/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha)))) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 beta) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* alpha (+ 1 (/ beta alpha)))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* 2 (/ alpha (- beta (* -1 (+ 2 beta)))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta)))))) (* 2 (/ (pow (+ 2 beta) 2) (* alpha (- beta (* -1 (+ 2 beta))))))) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))) (+ (* -1 (/ (* (+ 2 beta) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) (* alpha (- beta (* -1 (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 2 (/ (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))) alpha)) (* -2 (/ (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* 2 (/ 1 (- beta (* -1 (+ 2 beta))))))))
(* -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))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(+ (* 2 (* beta (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha)))))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
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(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* 2 (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))))) (* beta (+ (* 2 (* beta (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha)))))))) (* 2 (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2)))))))
(+ 1 (* 2 (/ 1 alpha)))
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(* 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))))))))))
(/ 2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (* -1 (/ alpha (+ 2 alpha)))))) (+ (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))) (* 2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3) (+ 2 alpha)))))))) (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2) (+ 2 alpha)))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (+ 1 (* -1 (/ alpha (+ 2 alpha)))) 2))))) (* 2 (/ 1 (+ 1 (* -1 (/ alpha (+ 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)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ 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 (+ (* -1/2 (/ 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 (/ 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))))))
(+ alpha (* -1 beta))
(/ -1/2 (+ 2 alpha))
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (* -2 beta) 2)
1
(+ 1 (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta)))
(+ 1 (+ (* 2 (/ (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha)))))) (pow beta 2))) (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta))))
(+ 1 (+ (* 2 (/ (- 1/2 (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha)))))) (pow beta 2))) (+ (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta)) (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) (pow beta 3))))))
(/ 1 alpha)
(+ (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta)) (/ 1 alpha))
(+ (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta)) (+ (* 2 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (+ 1 (* 2 (/ 1 alpha))))) (pow beta 2))) (/ 1 alpha)))
(+ (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta)) (+ (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) (pow beta 3))) (+ (* 2 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (+ 1 (* 2 (/ 1 alpha))))) (pow beta 2))) (/ 1 alpha))))
(+ 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))))))
(+ 1 (* 1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2)))) (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (* (+ 2 alpha) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (* (+ (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3)))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (+ (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) (pow beta 2))) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (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 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(* 1/4 beta)
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
(+ 1 (* -1 (/ (- alpha (* -1 (+ 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)))))
(* beta (- (/ alpha beta) 1))
(/ -1/2 beta)
(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)
(/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta)))) beta)
(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta)
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -2 (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2)) (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -2 (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2)) (* -1 (/ (+ (* -2 (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2)) (* 2 (/ (- (* 1/2 (* alpha (+ 1 (* 2 (/ 1 alpha))))) 1/2) beta))) beta))) beta)))
(+ (* -1 (/ (+ (* -2 (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta))) beta)) (/ 1 alpha))
(+ (* -1 (/ (+ (* -2 (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (* -1 (/ (+ (* -2 (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta))) beta))) beta)) (/ 1 alpha))
(+ 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)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) beta))) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)) (+ (* -1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* 1/4 (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)))) (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (- alpha (* -1 (+ 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 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 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 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Outputs
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(fma.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/.f64 (fma.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)
(* 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)) (* -1 (/ 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 (* 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 (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)))) 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 (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)) (* -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 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 (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)))))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/ 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 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (/.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))) alpha) (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 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.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))))) alpha (*.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))) (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 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ (* (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (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)))) (/.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 3 binary64))) (/.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)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.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))) (/.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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))))) alpha (*.f64 #s(literal -2 binary64) (+.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))) (/.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))))) alpha (*.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))) (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 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) 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 #s(literal 1/2 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 3 binary64))) #s(literal 1/2 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 #s(literal 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)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ 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 (+ (* 1/2 (/ 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 (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)))) 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 (fma.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)) (* -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 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 (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)))))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 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)))
(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 (+ (* -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)))
(fma.f64 (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)))) 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)))
(+ (* 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)))
(fma.f64 (fma.f64 (neg.f64 (fma.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)))) alpha (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)))))) alpha (neg.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))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(* -1/2 alpha)
(*.f64 #s(literal -1/2 binary64) alpha)
(* alpha (- (* 1/4 alpha) 1/2))
(*.f64 (fma.f64 #s(literal 1/4 binary64) alpha #s(literal -1/2 binary64)) alpha)
(* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) alpha #s(literal 1/4 binary64)) alpha #s(literal -1/2 binary64)) alpha)
(* alpha (- (* alpha (+ 1/4 (* alpha (- (* 1/16 alpha) 1/8)))) 1/2))
(*.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)
-2
#s(literal -2 binary64)
(- (* -1 alpha) 2)
(-.f64 #s(literal -2 binary64) alpha)
(* -1 beta)
(neg.f64 beta)
(- alpha beta)
(-.f64 alpha beta)
(/ -1/2 (+ 2 beta))
(/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
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(* beta (- (/ alpha beta) 1))
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(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) alpha)) beta) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) alpha)) #s(literal -2 binary64))) beta))
(+ (* -1 (/ (+ (* -2 (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (* -1 (/ (+ (* -2 (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (* 2 (/ (- (* 1/2 (+ 1 (* 2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha))) beta))) beta))) beta)) (/ 1 alpha))
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) alpha)) #s(literal -2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) alpha)) beta) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) alpha)) #s(literal -2 binary64))) beta)) beta))
(+ 1 (* -1 (/ (+ (* 1/2 (- alpha (* -1 (+ 2 alpha)))) (* 1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1/4 (/ (pow (- alpha (* -1 (+ 2 alpha))) 2) beta))) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) beta) #s(literal -1/4 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal 1/2 binary64)))) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)) (+ (* -1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta)) (* 1/4 (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))) beta)))) (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* -1/4 (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) (*.f64 (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (pow.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) beta) #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal 1/2 binary64))) beta))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) 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 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #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 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 1 binary64) alpha)) beta))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 1 binary64) alpha)) (neg.f64 beta)) (+.f64 #s(literal 1 binary64) alpha)) beta))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1/2 binary64) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1/2 binary64))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 alpha (-.f64 #s(literal -2 binary64) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 alpha (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))) beta)) (-.f64 #s(literal -2 binary64) alpha)) beta))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta))
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta))
(/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)) (neg.f64 beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)) (neg.f64 beta))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 beta))

rewrite207.0ms (2.7%)

Memory
8.1MiB live, 360.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057332
081332
1441314
23955314
09159312
Stop Event
iter limit
node limit
iter limit
Counts
21 → 436
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))
#s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) alpha)
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(-.f64 #s(literal -2 binary64) alpha)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(-.f64 alpha beta)
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(+.f64 beta alpha)
Outputs
(*.f64 (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))) alpha)
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(*.f64 alpha (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) #s(literal -2 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64))) alpha) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -3 binary64)) #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 3 binary64))) alpha) (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) #s(literal -2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64))))
(/.f64 (*.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(/.f64 (*.f64 alpha (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))
(/.f64 (*.f64 alpha (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -3 binary64)) #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 3 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) #s(literal -2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha (*.f64 alpha (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))
(fma.f64 alpha (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(fma.f64 alpha (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(fma.f64 alpha (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))))
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(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha)))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))
(+.f64 alpha beta)
(+.f64 beta alpha)

eval113.0ms (1.5%)

Memory
9.6MiB live, 202.5MiB allocated
Compiler

Compiled 24 522 to 3 010 computations (87.7% saved)

prune28.0ms (0.4%)

Memory
-6.9MiB live, 78.2MiB allocated
Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New6295634
Fresh21113
Picked055
Done055
Total63126657
Accuracy
100.0%
Counts
657 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
72.9%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
73.0%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64))
37.3%
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
43.9%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
41.7%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.8%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
86.7%
(pow.f64 (pow.f64 #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
87.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
41.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))))
9.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 alpha beta))))
35.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))))
65.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
71.3%
#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)))
29.3%
#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))
30.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
29.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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))
34.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
37.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
34.8%
#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))))
39.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
38.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
39.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
4.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
43.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
41.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 1 659 to 716 computations (56.8% saved)

regimes51.0ms (0.7%)

Memory
-11.4MiB live, 108.9MiB allocated
Counts
38 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #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 (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #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) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 alpha 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) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 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))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) 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))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 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))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
(/.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))
(pow.f64 (pow.f64 #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Calls

5 calls:

12.0ms
alpha
11.0ms
beta
9.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.9%2alpha
99.8%2beta
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes43.0ms (0.6%)

Memory
18.7MiB live, 96.4MiB allocated
Counts
33 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #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 (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #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) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 alpha 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) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 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))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) 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))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 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))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Calls

5 calls:

10.0ms
beta
9.0ms
alpha
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.4%2beta
93.4%2alpha
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)

regimes24.0ms (0.3%)

Memory
14.2MiB live, 53.1MiB 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #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 (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #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) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 alpha 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) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 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))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) 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))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 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))))))
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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Calls

3 calls:

9.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes26.0ms (0.3%)

Memory
-34.6MiB live, 53.1MiB allocated
Counts
30 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #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 (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #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) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 alpha 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) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 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))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) 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))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #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))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64))
Calls

3 calls:

11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms
(/.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
99.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes21.0ms (0.3%)

Memory
8.5MiB live, 47.3MiB allocated
Counts
28 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #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 (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #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) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 alpha 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) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 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))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) 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))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Calls

3 calls:

7.0ms
(/.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
99.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes24.0ms (0.3%)

Memory
21.5MiB live, 60.5MiB 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #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 (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #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) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 alpha 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) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

4 calls:

6.0ms
beta
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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
93.5%2beta
98.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes18.0ms (0.2%)

Memory
-0.9MiB live, 40.9MiB allocated
Counts
20 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #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 (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #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) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (+ (* (/ (- alpha (- -2 alpha)) beta) 1/2) 1) (/.f64 alpha 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

3 calls:

7.0ms
(/.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))
4.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.1%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.1%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.1%2(/.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
-10.0MiB live, 28.7MiB allocated
Counts
13 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #s(literal 1 binary64)))
Calls

3 calls:

6.0ms
(/.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
98.0%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.0%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.0%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes12.0ms (0.1%)

Memory
-11.7MiB live, 27.2MiB allocated
Counts
11 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (neg.f64 alpha)) beta) #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#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:

5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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
97.8%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
97.8%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
97.8%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
-6.3MiB live, 33.0MiB 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 (/.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
97.5%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
97.5%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
97.5%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes15.0ms (0.2%)

Memory
-4.0MiB live, 39.5MiB allocated
Counts
8 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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:

4.0ms
alpha
3.0ms
beta
2.0ms
(/.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
50.8%2alpha
70.7%2beta
70.5%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
70.5%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
70.5%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes3.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
7 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

1 calls:

3.0ms
beta
Results
AccuracySegmentsBranch
70.5%2beta
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB allocated
Counts
6 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
beta
2.0ms
(/.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
70.2%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
70.2%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
70.2%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
70.3%2beta
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes8.0ms (0.1%)

Memory
-20.1MiB live, 18.9MiB allocated
Counts
3 → 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

4 calls:

3.0ms
beta
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))
1.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
70.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
70.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
70.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
70.0%2beta
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes5.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB 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
alpha
1.0ms
beta
1.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
1.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
41.1%1alpha
41.1%1beta
41.1%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
41.1%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
41.1%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998183286103
-0.14620203000460788
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998183286103
-0.14620203000460788
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998183286103
-0.14620203000460788
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999983502
-0.9999984590954625
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999983502
-0.9999984590954625
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998183286103
-0.14620203000460788
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
-38.2MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998183286103
-0.14620203000460788
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.327507257247348
0.46359177975109744
0.0ms
-0.999998183286103
-0.14620203000460788
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.327507257247348
0.46359177975109744
0.0ms
-0.999998183286103
-0.14620203000460788
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.327507257247348
0.46359177975109744
0.0ms
-0.999998183286103
-0.14620203000460788
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch21.0ms (0.3%)

Memory
36.3MiB live, 36.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.9740097890329436
102106236.67642282
Samples
5.0ms96×0valid
4.0ms33×1valid
3.0ms15×2valid
Compiler

Compiled 574 to 438 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (35.7% of total)
ival-add: 3.0ms (35.7% of total)
adjust: 1.0ms (11.9% of total)
ival-sub: 1.0ms (11.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
-36.5MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.9740097890329436
102106236.67642282
Compiler

Compiled 430 to 348 computations (19.1% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.9740097890329436
102106236.67642282
Compiler

Compiled 403 to 330 computations (18.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.46359177975109744
0.9999999157625348
Compiler

Compiled 16 to 16 computations (0% saved)

simplify61.0ms (0.8%)

Memory
31.4MiB live, 72.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0136929
1214916
2339915
3590915
41086911
53283907
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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 (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)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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 (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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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)) (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) 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 -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 3602879701896397/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))) #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 3602879701896397/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 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
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) #s(literal -1 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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 (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)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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 (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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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)) (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) 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 -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 3602879701896397/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/9007199254740992 binary64)) (pow.f64 #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 #s(approx (* (+ 1 alpha) -1) (-.f64 #s(literal -1 binary64) alpha)) beta) #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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 2 binary64) alpha)))) #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 3602879701896397/9007199254740992 binary64)) (pow.f64 #s(approx (/ -2 (- -1 (/ (- alpha beta) (- -2 (+ alpha beta))))) #s(approx (* (+ (* (/ -2 (- (- -2 beta) beta)) (/ (+ 2 beta) alpha)) (/ -2 (- (- -2 beta) beta))) alpha) (+.f64 #s(literal 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 #s(literal 1 binary64) (pow.f64 beta #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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 3602879701896397/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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) (pow.f64 beta #s(literal -1 binary64))))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 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 (16.7%)

Memory
3.3MiB live, 1 273.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030166
048163
1267163
22222163
08613163
08585098
128054650
086384435
010165777
132315337
084625005
07153914
122563486
278873465
082873276
053329
074329
1437299
24186299
08379297
04332206
113942067
246091878
087051750
01044
01644
19144
274844
0866743
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 496 to 533 computations (64.4% saved)

preprocess105.0ms (1.4%)

Memory
-24.0MiB live, 89.3MiB allocated
Compiler

Compiled 1 884 to 298 computations (84.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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