Octave 3.8, jcobi/1

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze3.0ms (0%)

Memory
12.7MiB live, 12.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
0%0%56.2%43.8%0%0%0%1
50%28.1%28.1%43.8%0%0%0%2
75%42.1%14%43.8%0%0%0%3
87.5%49.2%7%43.8%0%0%0%4
93.8%52.7%3.5%43.8%0%0%0%5
96.9%54.4%1.8%43.8%0%0%0%6
98.4%55.3%0.9%43.8%0%0%0%7
99.2%55.7%0.4%43.8%0%0%0%8
99.6%56%0.2%43.8%0%0%0%9
99.8%56.1%0.1%43.8%0%0%0%10
99.9%56.1%0.1%43.8%0%0%0%11
100%56.1%0%43.8%0%0%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.1s (23.2%)

Memory
-64.2MiB live, 2 298.8MiB allocated
Samples
1.2s6 070×0valid
312.0ms1 512×1valid
203.0ms674×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-div: 858.0ms (63.3% of total)
ival-add: 251.0ms (18.5% of total)
adjust: 98.0ms (7.2% of total)
ival-sub: 74.0ms (5.5% of total)
ival->: 43.0ms (3.2% of total)
exact: 16.0ms (1.2% of total)
ival-and: 11.0ms (0.8% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain165.0ms (1.8%)

Memory
-1.7MiB live, 191.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
750-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-beta
00-0-(+.f64 alpha beta)
00-0-#s(literal 1 binary64)
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-alpha
00-0-(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
00-0-(-.f64 beta alpha)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation750
Confusion
Predicted +Predicted -
+750
-0181
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7500
-00181
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0181
175
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms374×0valid
13.0ms92×1valid
10.0ms46×2valid
Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 10.0ms (35.6% of total)
ival-div: 9.0ms (32% of total)
adjust: 5.0ms (17.8% of total)
ival-sub: 4.0ms (14.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess194.0ms (2.2%)

Memory
32.6MiB live, 166.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02673
16973
214373
323173
439173
582471
6160269
7289369
8503869
9736869
01013
01613
13113
24813
36313
49713
517913
637313
776413
8117513
9223513
10369313
11496413
12602213
13687013
14740413
15771613
0847012
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(/.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)

simplify158.0ms (1.7%)

Memory
-11.2MiB live, 132.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff1
(/.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
13148
24848
36348
49748
517948
637348
776448
8117548
9223548
10369348
11496448
12602248
13687048
14740448
15771648
0847047
Stop Event
1×iter limit
1×node limit
1×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))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 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 #s(literal 2 binary64) (+.f64 alpha beta)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize32.0ms (0.4%)

Memory
10.9MiB live, 57.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 alpha beta)
accuracy0.00390625
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy0.041347509768442016
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy16.59909430523991
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
12.0ms187×0valid
8.0ms46×1valid
5.0ms23×2valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 4.0ms (25.9% of total)
ival-add: 4.0ms (25.9% of total)
ival-sub: 4.0ms (25.9% of total)
adjust: 2.0ms (13% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-17.8MiB live, 37.1MiB allocated
Counts
5 → 80
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)
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)
(* 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)))
(* -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)))
(* 1/2 (- 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)
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)))
(+ 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)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
alpha
@inf
((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta))
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))
2.0ms
alpha
@0
((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta))
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))
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))

simplify193.0ms (2.1%)

Memory
43.9MiB live, 174.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04172135
114481995
257891890
082321803
Stop Event
1×iter limit
1×node limit
Counts
80 → 78
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)
(* 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)))
(* -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)))
(* 1/2 (- 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)
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)))
(+ 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)))
Outputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) 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 (*.f64 #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)))) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (neg.f64 alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(+ 1 (+ (* 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 (-.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ alpha beta)
(+.f64 alpha beta)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) beta (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) 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 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (fma.f64 (-.f64 #s(literal -2 binary64) beta) beta (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) 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) (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 3 binary64)) beta (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha)) (*.f64 alpha alpha)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) beta (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha)) (+.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 #s(literal 1 binary64) beta) #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) beta (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)) beta (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha))) alpha)
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1 binary64))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (-.f64 (/.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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 beta alpha)) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1 binary64)))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
alpha
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) 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 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) 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 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) 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 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.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))) alpha)) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (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 (/.f64 (-.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) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (neg.f64 alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) alpha) (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64))) (neg.f64 alpha)) #s(literal 1 binary64))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (neg.f64 alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (neg.f64 alpha)) #s(literal 1 binary64))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(fma.f64 (/.f64 beta alpha) alpha (neg.f64 alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (-.f64 (/.f64 beta (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 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 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #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)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (-.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 (+ (/ 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) (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) 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 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #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 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #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 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #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 (neg.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 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (/.f64 (neg.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 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 (neg.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 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
(- beta alpha)
(-.f64 beta alpha)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #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 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta) #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #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 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (*.f64 beta beta)) #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #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 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #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 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) alpha) beta)) (/.f64 (+.f64 #s(literal 2 binary64) 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)))))
(-.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 #s(literal 2 binary64) alpha)) beta))
(* 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)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #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 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)))) beta)) beta))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) 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 #s(literal 2 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64)))

rewrite254.0ms (2.8%)

Memory
-50.2MiB live, 221.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
01639
18639
262839
0852938
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 359
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)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(+.f64 (*.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (*.f64 (-.f64 beta alpha) beta)) (*.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (*.f64 alpha alpha)))
(+.f64 (*.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (*.f64 alpha alpha)) (*.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (*.f64 (-.f64 beta alpha) beta)))
(+.f64 (*.f64 beta (/.f64 beta (+.f64 alpha beta))) (/.f64 (*.f64 (neg.f64 alpha) alpha) (+.f64 alpha beta)))
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
(*.f64 (/.f64 (*.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
(*.f64 (/.f64 (*.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (+.f64 alpha beta))) (+.f64 alpha beta))
(*.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 2 binary64)))) (-.f64 (*.f64 alpha alpha) (*.f64 (-.f64 beta alpha) beta)))
(*.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 beta alpha) beta) (-.f64 (*.f64 (-.f64 beta alpha) beta) (*.f64 alpha alpha)) (pow.f64 alpha #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 alpha beta))
(*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))) (/.f64 (-.f64 beta alpha) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) (neg.f64 (+.f64 alpha beta)))
(*.f64 (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)) (/.f64 (+.f64 alpha beta) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 beta alpha)))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 alpha beta) (-.f64 alpha beta)))
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta))) (-.f64 alpha beta))
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (*.f64 alpha (/.f64 alpha (-.f64 alpha beta)))) (*.f64 (*.f64 beta (/.f64 beta (-.f64 alpha beta))) (*.f64 beta (/.f64 beta (-.f64 alpha beta))))) (fma.f64 alpha (/.f64 alpha (-.f64 alpha beta)) (*.f64 beta (/.f64 beta (-.f64 alpha beta)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))) (*.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))) (-.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (/.f64 alpha (-.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (*.f64 beta (/.f64 beta (-.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (*.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (*.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (fma.f64 (*.f64 beta (/.f64 beta (-.f64 alpha beta))) (*.f64 beta (/.f64 beta (-.f64 alpha beta))) (*.f64 (*.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (*.f64 beta (/.f64 beta (-.f64 alpha beta)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (-.f64 (*.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))) (*.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))))
(/.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 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)) (*.f64 (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)) (pow.f64 beta #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 beta #s(literal 4 binary64))) (*.f64 (fma.f64 alpha alpha (*.f64 beta beta)) (-.f64 alpha beta)))
(/.f64 (-.f64 (pow.f64 beta #s(literal 4 binary64)) (pow.f64 alpha #s(literal 4 binary64))) (*.f64 (fma.f64 alpha alpha (*.f64 beta beta)) (-.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 6 binary64)) (pow.f64 beta #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 beta beta) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 alpha #s(literal 4 binary64))) (-.f64 alpha beta)))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 6 binary64)) (pow.f64 beta #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 alpha #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta #s(literal 4 binary64))) (-.f64 beta alpha)))
(/.f64 (+.f64 (pow.f64 beta #s(literal 9 binary64)) (pow.f64 alpha #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 alpha #s(literal 6 binary64)) (-.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (*.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (-.f64 alpha beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))
(neg.f64 (neg.f64 (+.f64 alpha beta)))
(fma.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 2 binary64)))) (-.f64 (*.f64 alpha alpha) (*.f64 (-.f64 beta alpha) beta)) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 beta alpha) beta) (-.f64 (*.f64 (-.f64 beta alpha) beta) (*.f64 alpha alpha)) (pow.f64 alpha #s(literal 4 binary64))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 2 binary64)))) (-.f64 (*.f64 alpha alpha) (*.f64 (-.f64 beta alpha) beta)) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 beta alpha) beta) (-.f64 (*.f64 (-.f64 beta alpha) beta) (*.f64 alpha alpha)) (pow.f64 alpha #s(literal 4 binary64))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (-.f64 alpha beta) (+.f64 alpha beta))) (+.f64 alpha beta) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 (pow.f64 beta #s(literal 3/2 binary64)) (/.f64 (pow.f64 beta #s(literal 3/2 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 (pow.f64 alpha #s(literal 3/2 binary64)) (/.f64 (pow.f64 alpha #s(literal 3/2 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 (neg.f64 alpha) (/.f64 (neg.f64 alpha) (-.f64 alpha beta)) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 (fabs.f64 alpha) (/.f64 (fabs.f64 alpha) (-.f64 alpha beta)) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 (*.f64 beta beta) (/.f64 beta (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 (*.f64 alpha alpha) (/.f64 alpha (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 alpha (/.f64 (*.f64 alpha alpha) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 alpha (/.f64 alpha (-.f64 alpha beta)) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 beta (/.f64 (*.f64 beta beta) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha)))
(-.f64 (*.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (*.f64 beta (/.f64 beta (-.f64 alpha beta))))
(+.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (*.f64 alpha (/.f64 alpha (-.f64 alpha beta))))
(+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(+.f64 (*.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(+.f64 alpha beta)
(+.f64 beta alpha)

eval82.0ms (0.9%)

Memory
17.6MiB live, 102.7MiB allocated
Compiler

Compiled 16 091 to 2 053 computations (87.2% saved)

prune26.0ms (0.3%)

Memory
4.8MiB live, 47.4MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New42015435
Fresh000
Picked101
Done000
Total42115436
Accuracy
99.7%
Counts
436 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
43.0%
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
73.9%
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
73.6%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
73.7%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶63.4%
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶74.0%
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶71.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
24.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
27.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) alpha)) (neg.f64 alpha)))
30.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
56.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #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)))
52.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
27.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)))
▶32.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 886 to 490 computations (44.7% saved)

simplify107.0ms (1.2%)

Memory
-26.3MiB live, 77.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))
cost-diff0
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff0
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff1
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
cost-diff1
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff2
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff0
(+.f64 #s(literal 2 binary64) beta)
cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff0
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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 #s(literal 2 binary64) beta)) #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 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff0
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033249
055244
1102242
2156240
3261240
4505240
5808240
61222240
72118240
83617240
96882240
08017239
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(-.f64 beta alpha)
beta
alpha
(+.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 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
beta
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 beta alpha)
beta
alpha
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(-.f64 (/.f64 beta alpha) #s(literal 1 binary64))
(/.f64 beta alpha)
beta
alpha
#s(literal 1 binary64)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
Outputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(-.f64 beta alpha)
beta
alpha
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
#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 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
beta
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #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 beta alpha) #s(literal 1/2 binary64))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(-.f64 beta alpha)
beta
alpha
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(-.f64 (/.f64 beta alpha) #s(literal 1 binary64))
(/.f64 beta alpha)
beta
alpha
#s(literal 1 binary64)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)

localize135.0ms (1.5%)

Memory
2.3MiB live, 145.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy0.041347509768442016
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy6.55258600284179
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
accuracy16.59909430523991
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy0.00390625
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy0.0234375
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy0.11328125
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy16.59909430523991
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
accuracy0.0
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy0.0
(+.f64 #s(literal 2 binary64) beta)
accuracy0.01953125
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy18.4075978432223
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy43.11858508237738
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy0.0
(+.f64 alpha beta)
accuracy0.0
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy0.041347509768442016
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy16.593651239816673
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Samples
54.0ms185×0valid
28.0ms23×2valid
17.0ms47×1valid
1.0ms1×5exit
Compiler

Compiled 210 to 28 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 50.0ms (63.6% of total)
ival-add: 11.0ms (14% of total)
ival-mult: 7.0ms (8.9% of total)
adjust: 6.0ms (7.6% of total)
ival-sub: 3.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
19 → 145
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(-.f64 beta alpha)
(+.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 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 2 binary64) beta)
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))
(+.f64 alpha beta)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (+ 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))))
(+ alpha beta)
(/ 1 (+ 2 beta))
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* 1/2 (/ (+ 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)
(* alpha (+ 1 (/ beta alpha)))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* 1/2 (- (* -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 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(- beta alpha)
(+ 2 alpha)
(* 1/2 (- 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
(- 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 (+ 2 alpha))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 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 (* 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))))
(+ 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))))))
(* beta (+ 1 (/ alpha beta)))
(/ 1 beta)
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)
(+ 1 (* -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 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 1 (* -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)))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))
Calls

6 calls:

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

simplify194.0ms (2.2%)

Memory
-6.8MiB live, 185.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06753403
123203182
086673028
Stop Event
1×iter limit
1×node limit
Counts
145 → 143
Calls
Call 1
Inputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (+ 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))))
(+ alpha beta)
(/ 1 (+ 2 beta))
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* 1/2 (/ (+ 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)
(* alpha (+ 1 (/ beta alpha)))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* 1/2 (- (* -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 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(- beta alpha)
(+ 2 alpha)
(* 1/2 (- 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
(- 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 (+ 2 alpha))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 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 (* 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))))
(+ 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))))))
(* beta (+ 1 (/ alpha beta)))
(/ 1 beta)
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)
(+ 1 (* -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 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 1 (* -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)))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))
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)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (-.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))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (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 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.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)))) (/.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))))) 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)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (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))))
(+ (* 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 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (-.f64 (/.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 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 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)))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) beta) 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)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (-.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))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (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 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.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)))) (/.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))))) 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 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (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)))) #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 (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (+.f64 (/.f64 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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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 (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (-.f64 (/.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 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(+ alpha beta)
(+.f64 alpha beta)
(/ 1 (+ 2 beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))
(fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(fma.f64 (fma.f64 (neg.f64 alpha) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 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
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1 binary64))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (-.f64 (/.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)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) alpha 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 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) 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 (/ (- (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 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) 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) (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha)) (+.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 #s(literal 1 binary64) beta) #s(literal 2 binary64) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) alpha)) (fma.f64 (neg.f64 beta) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) alpha) (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) beta (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) alpha))) #s(literal 2 binary64)) (fma.f64 (neg.f64 beta) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) alpha) (*.f64 beta (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) alpha)
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) alpha) #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) beta) (/.f64 alpha beta))) (/.f64 (+.f64 #s(literal 2 binary64) 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)))))
(-.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) beta beta)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #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 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta) #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #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 #s(literal 1/2 binary64) (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) beta) beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) beta) beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64))))
(- 1 (* 2 (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta)
(+ 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 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #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 alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) beta)
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) alpha) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta)
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #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 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
(+ 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))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) 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 #s(literal 2 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64)))
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 1 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) alpha) #s(literal 2 binary64)) (neg.f64 beta)) #s(literal 1 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.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))) (neg.f64 beta)) (+.f64 #s(literal 2 binary64) alpha)) (neg.f64 beta)) #s(literal 1 binary64)) (neg.f64 beta))

rewrite198.0ms (2.2%)

Memory
-6.7MiB live, 227.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033206
055201
1246199
21764197
08215197
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 539
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(-.f64 beta alpha)
(+.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 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 2 binary64) beta)
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))
(+.f64 alpha beta)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
Outputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
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(*.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 2 binary64) beta) alpha))
(*.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (-.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(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.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 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)))) (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))
(*.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)))
(*.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)))))
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) (neg.f64 (neg.f64 (-.f64 alpha beta))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))))
(/.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 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (pow.f64 beta #s(literal 3 binary64)))) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.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 beta (-.f64 (*.f64 alpha alpha) (*.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 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (-.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 alpha beta) (-.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 alpha beta))))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(-.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 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 alpha beta)))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 alpha beta)))))
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 alpha beta)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 alpha beta)))))
(+.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 (neg.f64 alpha) alpha) (-.f64 beta alpha)))
(+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(+.f64 alpha beta)
(+.f64 beta alpha)
(*.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 2 binary64) beta) alpha))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #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 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 alpha #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(*.f64 alpha (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha)) (neg.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) #s(literal 1 binary64)) alpha)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 alpha (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 alpha (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) #s(literal 1 binary64)) alpha) (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha)))
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)))
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha)))

eval127.0ms (1.4%)

Memory
-1.9MiB live, 141.0MiB allocated
Compiler

Compiled 23 119 to 2 852 computations (87.7% saved)

prune50.0ms (0.6%)

Memory
-1.8MiB live, 45.6MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New67317690
Fresh7310
Picked235
Done000
Total68223705
Accuracy
99.9%
Counts
705 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.0%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
73.7%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶70.8%
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
63.4%
(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
73.6%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
3.7%
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
43.0%
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
73.9%
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
63.0%
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
54.8%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
63.0%
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶74.0%
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓71.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
24.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
30.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
48.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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))))
48.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
▶24.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
▶50.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓32.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
52.2%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
▶29.3%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
27.7%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
Compiler

Compiled 1 713 to 727 computations (57.6% saved)

simplify150.0ms (1.7%)

Memory
10.5MiB live, 96.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
cost-diff0
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
cost-diff1
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
cost-diff1
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta))
cost-diff0
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta)))
cost-diff0
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
cost-diff0
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
cost-diff1
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043274
065274
1138274
2284274
3879271
44543268
08443259
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 beta alpha)
beta
alpha
(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.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
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta)))
(-.f64 beta alpha)
beta
alpha
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
#s(literal -1/2 binary64)
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
beta
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
alpha
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
Outputs
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha))
(-.f64 beta alpha)
beta
alpha
(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
#s(literal 1/2 binary64)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.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
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta)))
(-.f64 beta alpha)
beta
alpha
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal -1 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal -1 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta))
(fma.f64 (+.f64 (neg.f64 beta) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))
#s(literal -1/2 binary64)
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
beta
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
alpha
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)

localize120.0ms (1.3%)

Memory
13.8MiB live, 73.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
accuracy0.03125
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta))
accuracy0.29009692338974996
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
accuracy45.229405215660776
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
accuracy0.0
(+.f64 #s(literal 2 binary64) beta)
accuracy0.041347509768442016
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta)))
accuracy16.593651239816673
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy18.422742972390566
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))
accuracy0.0
(/.f64 #s(literal 1 binary64) beta)
accuracy0.0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
accuracy18.4075978432223
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
accuracy44.21988003081276
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
accuracy16.705280880757012
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy18.4075978432223
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy0.0
(+.f64 alpha beta)
accuracy0.0234375
(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy0.125
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
accuracy16.593651239816673
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Samples
58.0ms186×0valid
20.0ms47×1valid
14.0ms23×2valid
Compiler

Compiled 217 to 35 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 35.0ms (49.1% of total)
ival-add: 15.0ms (21% of total)
ival-mult: 10.0ms (14% of total)
adjust: 7.0ms (9.8% of total)
ival-sub: 4.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
20 → 170
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 beta alpha)
(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.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)
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta)))
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(+.f64 alpha beta)
(+.f64 #s(literal 2 binary64) beta)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ beta (+ 2 beta)))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))
beta
(+ beta (* -1 alpha))
(/ 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 (+ 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))))))))))
(/ 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)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(+ alpha beta)
(/ (+ 2 (* 2 beta)) alpha)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1/2
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2)
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2)
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2)
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
(* 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
(- (/ 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)))))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2)
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) 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 (/ (- (+ (* -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 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) 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)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* -1/2 (/ alpha (+ 2 alpha)))
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- beta alpha)
(/ 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 (- 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 beta)
(/ (- beta 1) beta)
(/ 1 beta)
(* -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))))))
(+ 2 alpha)
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (* -1/2 beta) 1)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
2
(/ 2 alpha)
(+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(/ 1/2 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(+ 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 (* -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 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1/2 beta)
(* -1 (* beta (+ 1/2 (/ 1 beta))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* 2 (/ beta alpha))
(* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1/2 (* -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 (* beta (- (/ alpha beta) 1)))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 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 (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
alpha
@0
((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (* -1/2 (+ 2 beta)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ alpha beta) (+ 2 beta) (/ (+ (* 2 beta) 2) alpha))
3.0ms
beta
@0
((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (* -1/2 (+ 2 beta)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ alpha beta) (+ 2 beta) (/ (+ (* 2 beta) 2) alpha))
2.0ms
beta
@-inf
((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (* -1/2 (+ 2 beta)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ alpha beta) (+ 2 beta) (/ (+ (* 2 beta) 2) alpha))
2.0ms
alpha
@-inf
((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (* -1/2 (+ 2 beta)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ alpha beta) (+ 2 beta) (/ (+ (* 2 beta) 2) alpha))
2.0ms
beta
@inf
((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (* -1/2 (+ 2 beta)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ alpha beta) (+ 2 beta) (/ (+ (* 2 beta) 2) alpha))

simplify170.0ms (1.9%)

Memory
-8.2MiB live, 121.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07063783
123573471
086493311
Stop Event
1×iter limit
1×node limit
Counts
170 → 168
Calls
Call 1
Inputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ beta (+ 2 beta)))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))
beta
(+ beta (* -1 alpha))
(/ 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 (+ 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))))))))))
(/ 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)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(+ alpha beta)
(/ (+ 2 (* 2 beta)) alpha)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1/2
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2)
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2)
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2)
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
(* 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
(- (/ 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)))))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2)
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) 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 (/ (- (+ (* -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 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) 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)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* -1/2 (/ alpha (+ 2 alpha)))
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- beta alpha)
(/ 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 (- 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 beta)
(/ (- beta 1) beta)
(/ 1 beta)
(* -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))))))
(+ 2 alpha)
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (* -1/2 beta) 1)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
2
(/ 2 alpha)
(+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(/ 1/2 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(+ 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 (* -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 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1/2 beta)
(* -1 (* beta (+ 1/2 (/ 1 beta))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* 2 (/ beta alpha))
(* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1/2 (* -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 (* beta (- (/ alpha beta) 1)))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 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 (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (-.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))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (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 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.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)))) (/.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))))) 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 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(* 1/2 (/ beta (+ 2 beta)))
(*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))
(*.f64 #s(literal -1/2 binary64) (-.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))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (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 (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.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)))) (/.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))))) 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 (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(/ 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))))
(fma.f64 (/.f64 alpha (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 (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) 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))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (-.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))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (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 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.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)))) (/.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))))) 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 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (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))))
(+ (* 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 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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alpha
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(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) alpha) alpha) beta) (/.f64 (/.f64 #s(literal 1 binary64) alpha) alpha))) (*.f64 beta beta))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(*.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) beta) beta) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 alpha beta) alpha) beta))) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) alpha) alpha) beta)) (/.f64 (/.f64 #s(literal 1 binary64) alpha) alpha)) (*.f64 beta beta))
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* 2 (/ beta alpha))
(*.f64 (/.f64 #s(literal 2 binary64) alpha) beta)
(* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) alpha)) beta)
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #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 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta))) (neg.f64 beta))) beta))
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta))
(+ 1/2 (* -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 1/2 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta))) (neg.f64 beta))) beta))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) beta) #s(literal 1/2 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 2 binary64)) alpha)) beta) #s(literal 1/2 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha) (/.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)) (neg.f64 beta)) #s(literal 1/2 binary64)) (neg.f64 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 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal 1 binary64)) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal 1 binary64))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) alpha) alpha) (/.f64 #s(literal 1 binary64) alpha)) (neg.f64 beta)) (/.f64 (/.f64 #s(literal 1 binary64) alpha) alpha)) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(*.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) beta) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) alpha) alpha)) (/.f64 #s(literal 1 binary64) alpha)) (neg.f64 beta)) (/.f64 (/.f64 #s(literal 1 binary64) alpha) alpha)) (*.f64 beta beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64)))

rewrite255.0ms (2.8%)

Memory
11.7MiB live, 212.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043240
065240
1312240
22274240
08851230
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 399
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 beta alpha)
(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.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)
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta)))
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(+.f64 alpha beta)
(+.f64 #s(literal 2 binary64) beta)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/4 binary64)))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal 2 binary64) alpha))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 alpha))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) beta) alpha (*.f64 alpha #s(literal 2 binary64)))) (neg.f64 (*.f64 alpha alpha)))
(/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 alpha) (*.f64 (neg.f64 alpha) (neg.f64 (*.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha (*.f64 (neg.f64 alpha) (*.f64 #s(literal 2 binary64) beta))) (*.f64 (neg.f64 alpha) alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 alpha) (*.f64 alpha (neg.f64 (*.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (fma.f64 #s(literal 2 binary64) alpha (*.f64 alpha (*.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha) (*.f64 (neg.f64 alpha) #s(literal -2 binary64))) (*.f64 alpha alpha))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) beta)) alpha (*.f64 (neg.f64 alpha) #s(literal 2 binary64))) (*.f64 (neg.f64 alpha) alpha))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) beta) (neg.f64 alpha) (*.f64 alpha #s(literal -2 binary64))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal 2 binary64) alpha)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (neg.f64 (neg.f64 alpha)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 4 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))) alpha)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) beta) alpha (*.f64 alpha #s(literal 2 binary64))) (*.f64 alpha alpha))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))) alpha))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha))
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (neg.f64 alpha)))
(fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha))
(fma.f64 beta (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 2 binary64) alpha))
(+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal 2 binary64) alpha))

eval117.0ms (1.3%)

Memory
-22.1MiB live, 220.9MiB allocated
Compiler

Compiled 22 396 to 2 737 computations (87.8% saved)

prune30.0ms (0.3%)

Memory
-16.7MiB live, 75.3MiB allocated
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New5939602
Fresh41115
Picked235
Done033
Total59926625
Accuracy
99.9%
Counts
625 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.0%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
48.5%
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) #s(approx (+ 2 beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
63.4%
(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
73.6%
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))
43.0%
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶73.9%
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
63.0%
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
54.8%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
63.0%
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓74.0%
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
4.9%
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
▶3.7%
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
✓71.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
24.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
30.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
48.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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))))
48.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
✓24.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓50.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓32.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
▶29.3%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
▶52.2%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
17.2%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) beta)) alpha)))
29.3%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))) alpha))
▶23.3%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
27.4%
#s(approx (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
Compiler

Compiled 1 936 to 863 computations (55.4% saved)

simplify133.0ms (1.5%)

Memory
15.3MiB live, 202.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
cost-diff2
(fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
cost-diff0
#s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
cost-diff0
(/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha)
cost-diff0
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
cost-diff0
(+.f64 #s(literal 2 binary64) alpha)
cost-diff0
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
cost-diff0
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64))
cost-diff0
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
cost-diff0
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
cost-diff0
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))))
cost-diff0
(fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff0
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067767
0108764
1200762
2485762
32129762
08590754
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(-.f64 beta alpha)
beta
alpha
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
#s(literal 3 binary64)
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
#s(literal 1 binary64)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
#s(literal -1 binary64)
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
alpha
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha)
#s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
alpha
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))
#s(literal -1/2 binary64)
beta
#s(literal -1 binary64)
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
#s(literal 2 binary64)
alpha
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
Outputs
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))))
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(-.f64 beta alpha)
beta
alpha
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
#s(literal 2 binary64)
(+.f64 alpha beta)
#s(literal 3 binary64)
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))
(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(literal 1 binary64)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)))
(fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))
(/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(-.f64 alpha beta)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64))
#s(literal -1 binary64)
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
alpha
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha)
#s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
alpha
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) beta)) alpha))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))
#s(literal -1/2 binary64)
beta
#s(literal -1 binary64)
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
#s(literal 2 binary64)
alpha
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)

localize420.0ms (4.7%)

Memory
39.9MiB live, 596.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy0.08203125
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha)
accuracy3.789031537453087
(fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy45.229405215660776
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
accuracy0.0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
accuracy0.29009692338974996
(/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha)
accuracy19.238911421774503
#s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
accuracy45.229405215660776
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
accuracy0.0
(+.f64 #s(literal 2 binary64) alpha)
accuracy0.01171875
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
accuracy17.464117471196477
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy18.811853145160214
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy16.593651239816673
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
accuracy44.46358324224454
#s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64))
accuracy0.13510386953663192
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))
accuracy12.724679866593052
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
accuracy12.724679866593052
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy16.634112269158944
(fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
Samples
162.0ms51×2valid
105.0ms129×0valid
88.0ms76×1valid
Compiler

Compiled 719 to 63 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 277.0ms
ival-pow: 110.0ms (39.7% of total)
adjust: 59.0ms (21.3% of total)
ival-add: 36.0ms (13% of total)
ival-div: 25.0ms (9% of total)
ival-mult: 22.0ms (7.9% of total)
ival-sub: 19.0ms (6.9% of total)
ival-pow2: 4.0ms (1.4% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series564.0ms (6.2%)

Memory
8.4MiB live, 954.8MiB allocated
Counts
22 → 259
Calls
Call 1
Inputs
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) alpha)
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha)
#s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
(fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha)
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Outputs
(* 1/2 (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (* (pow beta 3) (+ (* (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (- 1 (/ beta (+ 2 beta)))) (/ (pow beta 4) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3))))))
(+ (* 1/2 (* alpha (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (+ (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (+ (* (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (- 1 (/ beta (+ 2 beta)))) (/ (pow beta 4) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)))) (/ (* (pow beta 3) (- (+ (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2))))) (* (- 1 (/ beta (+ 2 beta))) (- (+ (/ 1 (+ 2 beta)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* -2 (/ beta (pow (+ 2 beta) 2))))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6))))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)))))) (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (+ 2 beta)))) (+ (* -1 (/ (- (/ beta (+ 2 beta)) 1) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (+ 2 beta)))) (/ (* (pow beta 3) (* (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3))) (* (pow (+ 2 beta) 3) (- (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (- 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (pow beta 3) (+ (* -2 (pow beta 2)) (* -1 (pow beta 2)))) (pow (+ 2 beta) 6))) (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (* 2 (/ (* (pow beta 6) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 9)))))) (+ (* (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (- 1 (/ beta (+ 2 beta)))) (/ (pow beta 4) (pow (+ 2 beta) 4))))) (* (pow (+ 2 beta) 6) (pow (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)) 2)))))))) (* 1/2 (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (* (pow beta 3) (+ (* (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (- 1 (/ beta (+ 2 beta)))) (/ (pow beta 4) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)))))))
(+ (* 1/2 (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (* (pow beta 3) (+ (* (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (- 1 (/ beta (+ 2 beta)))) (/ (pow beta 4) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (+ (* -1 (/ (- (/ beta (+ 2 beta)) 1) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (+ (/ (* (+ beta (* 2 beta)) (+ (* (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (- 1 (/ beta (+ 2 beta)))) (/ (pow beta 4) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)))) (+ (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (+ (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2))))) (* (- 1 (/ beta (+ 2 beta))) (- (+ (/ 1 (+ 2 beta)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* -2 (/ beta (pow (+ 2 beta) 2))))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6))))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)))) (/ (* (pow beta 3) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 4))) (+ (* 4 (/ (pow beta 2) (pow (+ 2 beta) 4))) (+ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (+ (/ 1 (+ 2 beta)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* -2 (/ beta (pow (+ 2 beta) 2))))) (+ (* (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (* (- 1 (/ beta (+ 2 beta))) (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (* 2 (/ 1 (pow (+ 2 beta) 2))))))))) (+ (* 2 (/ (* (+ 4 (* 2 beta)) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 2))) (/ (* (pow beta 4) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) (pow (+ 2 beta) 8))))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)))))))) (+ (/ 1 (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (+ (/ beta (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* beta (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (+ 2 beta))) (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3))) (* (pow (+ 2 beta) 3) (- (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (- 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (pow beta 3) (+ (* -2 (pow beta 2)) (* -1 (pow beta 2)))) (pow (+ 2 beta) 6))) (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (* 2 (/ (* (pow beta 6) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 9)))))) (- (+ (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (+ (* (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (- 1 (/ beta (+ 2 beta)))) (/ (pow beta 4) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)))) (/ (* (pow beta 3) (- (+ (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2))))) (* (- 1 (/ beta (+ 2 beta))) (- (+ (/ 1 (+ 2 beta)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* -2 (/ beta (pow (+ 2 beta) 2))))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6))))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3))))) (/ (* (pow beta 3) (* (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3))) (* (pow (+ 2 beta) 3) (- (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (- 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (pow beta 3) (+ (* -2 (pow beta 2)) (* -1 (pow beta 2)))) (pow (+ 2 beta) 6))) (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (* 2 (/ (* (pow beta 6) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 9)))))) (+ (* (- 1 (+ (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (- 1 (/ beta (+ 2 beta)))) (/ (pow beta 4) (pow (+ 2 beta) 4))))) (* (pow (+ 2 beta) 6) (pow (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)) 2))))) (* (pow (+ 2 beta) 3) (+ (/ (pow beta 6) (pow (+ 2 beta) 6)) (pow (- 1 (/ beta (+ 2 beta))) 3)))) (+ (/ (* (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (+ 2 beta)))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (+ 2 beta))))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (+ (* -1 (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 2 (+ 2 alpha))))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (+ (* -1 (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 2 (+ 2 alpha))))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (+ (* -1 (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 2 (+ 2 alpha)))))))) (+ (* -1 (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2))))) (+ (* -1 (pow (+ 2 alpha) 2)) (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))))))))) (* -1 (/ (pow alpha 3) beta))) (+ (* -1 (/ (* (+ 2 (+ alpha (+ (* -1 (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 2 (+ 2 alpha))))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (+ (* -1 (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 2 (+ 2 alpha))))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (+ (* -1 (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 2 (+ 2 alpha)))))))) (+ (* -1 (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2))))) (+ (* -1 (pow (+ 2 alpha) 2)) (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))))))))) beta)) (+ (* -1 (/ (* (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2))))) (+ (* -1 (pow (+ 2 alpha) 2)) (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (+ (* -1 (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 2 (+ 2 alpha))))))) beta)) (+ (* -1 (/ (- (+ (* 2 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (+ (* 2 (pow alpha 3)) (pow (- (* -1 alpha) (+ 2 alpha)) 3))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))))) (+ (* -2 (pow (+ 2 alpha) 3)) (+ (* 2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) (* (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))))))) beta)) (+ (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2))))) beta) (+ (/ (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) beta) (/ (pow (+ 2 alpha) 3) beta))))))) beta))) beta)))
(- (+ 1 (* -1 (/ (+ alpha (* 2 alpha)) beta))) (+ (* 2 (/ (+ 2 alpha) beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* -1 (/ (+ (* 2 (pow alpha 2)) (pow alpha 2)) beta))) (+ (* -2 (/ (pow (+ 2 alpha) 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (* -1 (/ (pow alpha 3) beta))) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) beta)) (+ (* -1 (/ (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (/ (pow (+ 2 alpha) 3) beta)))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1/2 (* -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)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(* -1 (/ (- (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(/ (- (* -1 alpha) (+ 2 alpha)) beta)
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))
(* -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 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) beta))
(+ 1 (* -1 (/ (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (+ (* 2 alpha) (* 4 alpha))) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (* 2 (pow alpha 3))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))))) (+ (* -2 (pow (+ 2 alpha) 3)) (+ (* 2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) (* (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))))))) beta)) (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2)))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (+ (* 2 alpha) (* 4 alpha))) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
Calls

6 calls:

TimeVariablePointExpression
112.0ms
alpha
@-inf
((/ (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (- 1 (/ 2 alpha)) (+ (* (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha)) (/ (+ 1 beta) alpha)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (/ (+ 1 beta) alpha))
112.0ms
alpha
@0
((/ (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (- 1 (/ 2 alpha)) (+ (* (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha)) (/ (+ 1 beta) alpha)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (/ (+ 1 beta) alpha))
100.0ms
beta
@0
((/ (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (- 1 (/ 2 alpha)) (+ (* (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha)) (/ (+ 1 beta) alpha)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (/ (+ 1 beta) alpha))
100.0ms
alpha
@inf
((/ (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (- 1 (/ 2 alpha)) (+ (* (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha)) (/ (+ 1 beta) alpha)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (/ (+ 1 beta) alpha))
39.0ms
beta
@inf
((/ (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (+ (* (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (+ (* (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 3) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6))) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) alpha) (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (- 1 (/ 2 alpha)) (+ (* (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha)) (/ (+ 1 beta) alpha)) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (/ (+ 1 beta) alpha))

simplify463.0ms (5.1%)

Memory
-2.4MiB live, 797.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03359116138
08081110765
Stop Event
1×iter limit
1×node limit
Counts
259 → 258
Calls
Call 1
Inputs
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(- (+ 1 (* -1 (/ (+ alpha (* 2 alpha)) beta))) (+ (* 2 (/ (+ 2 alpha) beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(* -1 (/ (- (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(/ (- (* -1 alpha) (+ 2 alpha)) beta)
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))
(* -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 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) beta))
(+ 1 (* -1 (/ (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
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(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (* 2 (pow alpha 3))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))))) (+ (* -2 (pow (+ 2 alpha) 3)) (+ (* 2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) (* (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))))))) beta)) (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2)))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (+ (* 2 alpha) (* 4 alpha))) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
Outputs
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-1
#s(literal -1 binary64)
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
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(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
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(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
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-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal 1/2 binary64))
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2)
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(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2)
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(/ 1 alpha)
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(/ (- 1 (* 2 (/ 1 alpha))) alpha)
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(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
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(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
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1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
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(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
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alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) alpha))))
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
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(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
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(/ (+ 1 (+ beta (/ (* (+ 2 (* 2 beta)) (- (* -1/2 beta) 1)) alpha))) alpha)
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(+ 2 (* -1 (/ (+ 2 (* 2 beta)) alpha)))
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(- (+ 2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
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(- (+ 2 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))))
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-2
#s(literal -2 binary64)
(- (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) 2)
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))) #s(literal 2 binary64))
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (+ 2 (/ (* beta (+ 2 beta)) (pow alpha 2))))
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(- (+ 1 (* -2 (/ (+ beta (* 2 beta)) alpha))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ beta alpha)) (* 12 (/ 1 alpha)))))
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#s(literal 2 binary64) beta)))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64))))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 beta #s(literal 6 binary64) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 beta)) #s(literal 12 binary64))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)))))) (*.f64 #s(literal 9 binary64) (+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)))))) (fma.f64 #s(literal -1/9 binary64) (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 beta #s(literal 1 binary64))) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 4 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beta (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 beta beta) (fma.f64 #s(literal 4 binary64) (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 beta beta) (fma.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 beta)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) beta) #s(literal 2 binary64))))))) (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 beta #s(literal 6 binary64) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 2 binary64))))) (fma.f64 #s(literal 9 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (-.f64 (fma.f64 beta #s(literal 6 binary64) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 beta)) #s(literal 12 binary64))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 (neg.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 beta (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) #s(literal 2 binary64)) beta) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))))))) alpha) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 beta #s(literal 1 binary64))) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 4 binary64) beta)))) (fma.f64 #s(literal -4 binary64) (+.f64 #s(literal 2 binary64) beta) (neg.f64 beta)))) (fma.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 beta #s(literal 6 binary64) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) 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#s(literal 2 binary64) (-.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)))))) (*.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) #s(literal 2 binary64)) beta) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))))))) alpha))
(* -1 (/ (- (* -1/9 (- (+ 2 (+ beta (+ (* 2 (- (+ 2 (+ beta (* -2 (+ 2 beta)))) (+ (* -1 beta) (* 2 beta)))) (+ (* 3 (+ beta (* 2 beta))) (* 4 beta))))) (+ (* -4 (+ 2 beta)) (* -1 beta)))) (+ (* 1/27 (+ (* -1 (- (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 (- (+ 2 beta) (* -1 beta))) (* 8 (- (+ 2 beta) (* -1 beta)))))) (* -2 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 9 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/9 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))))) alpha))
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(* -1 (/ (- (+ (* -1 (/ (- (* -1/9 (- (+ (* 2 (- (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (+ (* 2 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow beta 2))) (+ (* 2 (pow beta 2)) (+ (* 3 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* 4 (pow beta 2)) (+ (* beta (+ 2 beta)) (+ (* (+ beta (* 2 beta)) (- (+ 2 (+ beta (+ (* 2 (- (+ 2 (+ beta (* -2 (+ 2 beta)))) (+ (* -1 beta) (* 2 beta)))) (* 4 beta)))) (+ (* -4 (+ 2 beta)) (* -1 beta)))) (+ (* (- (+ 2 beta) (* -1 beta)) (- (+ 2 (+ beta (* -2 (+ 2 beta)))) (+ (* -1 beta) (* 2 beta)))) (pow (+ 2 beta) 2)))))))) (+ (* -4 (* (+ 2 beta) (- (* 4 beta) (* -4 (+ 2 beta))))) (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2)))))) (+ (* -1/9 (* (+ (* -1 (- (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 (- (+ 2 beta) (* -1 beta))) (* 8 (- (+ 2 beta) (* -1 beta)))))) (* -2 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 9 (+ 2 (+ beta (* 2 (+ 2 beta)))))) (- (* -1/9 (- (+ 2 (+ beta (+ (* 2 (- (+ 2 (+ beta (* -2 (+ 2 beta)))) (+ (* -1 beta) (* 2 beta)))) (+ (* 3 (+ beta (* 2 beta))) (* 4 beta))))) (+ (* -4 (+ 2 beta)) (* -1 beta)))) (* 1/27 (+ (* -1 (- (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 (- (+ 2 beta) (* -1 beta))) (* 8 (- (+ 2 beta) (* -1 beta)))))) (* -2 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 9 (+ 2 (+ beta (* 2 (+ 2 beta)))))))))) (+ (* -1/27 (pow (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta))) 2)) (+ (* 1/27 (+ (* -1 (- (+ (* 2 (+ (* 4 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (pow (- (+ 2 beta) (* -1 beta)) 2))) (+ (* 2 (pow beta 2)) (+ (* 4 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* 4 (pow beta 2)) (+ (* 4 (pow (- (+ 2 beta) (* -1 beta)) 2)) (pow (+ beta (* 2 beta)) 2)))))) (+ (* -2 (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (- (+ (* 2 beta) (* 4 beta)) (* -2 (+ 2 (+ beta (* 2 (+ 2 beta)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2))))) (+ (* 9 (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (- (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 (- (+ 2 beta) (* -1 beta))) (* 8 (- (+ 2 beta) (* -1 beta)))))) (* -2 (+ 2 (+ beta (* 2 (+ 2 beta)))))))))) (* 1/9 (- (* -1 (+ (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* beta (- (* -1 beta) (+ 2 beta))))) (* -1 (* (+ 2 beta) (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta))))))))))) alpha)) (* -1/9 (- (+ 2 (+ beta (+ (* 2 (- (+ 2 (+ beta (* -2 (+ 2 beta)))) (+ (* -1 beta) (* 2 beta)))) (+ (* 3 (+ beta (* 2 beta))) (* 4 beta))))) (+ (* -4 (+ 2 beta)) (* -1 beta))))) (+ (* 1/27 (+ (* -1 (- (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 (- (+ 2 beta) (* -1 beta))) (* 8 (- (+ 2 beta) (* -1 beta)))))) (* -2 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 9 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/9 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))))) alpha))
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(-.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)))))) (*.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) #s(literal 2 binary64)) beta) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))))) alpha))
(- (* -1 (/ (- (* -1/9 (+ beta (* 2 beta))) (* 1/81 (+ (* -1 (- (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 (- (+ 2 beta) (* -1 beta))) (* 8 (- (+ 2 beta) (* -1 beta)))))) (* -2 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 9 (+ 2 (+ beta (* 2 (+ 2 beta)))))))) alpha)) 1/9)
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(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
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(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) beta))) beta)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
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(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha)) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) beta) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) alpha)) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) alpha))) beta) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) alpha))) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha)))
(* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta))
(* -1 (/ (- (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) beta) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)))) beta) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)))) beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)))) beta) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta))
(/ (- (* -1 alpha) (+ 2 alpha)) beta)
(/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) beta)) beta))
(* -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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) beta)) beta))) beta))
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) beta))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) beta)) beta))) beta))) beta))
(+ 1 (* -1 (/ (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 alpha #s(literal 6 binary64) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (+ (* 2 alpha) (* 4 alpha))) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
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(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (* 2 (pow alpha 3))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))))) (+ (* -2 (pow (+ 2 alpha) 3)) (+ (* 2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) (* (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha))))))))))) beta)) (+ (* 2 (pow alpha 2)) (+ (* 4 (pow alpha 2)) (pow (+ alpha (* 2 alpha)) 2)))) (+ (* -2 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (+ (* 2 alpha) (* 4 alpha)) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))))) (+ (* -2 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (+ (* 2 alpha) (* 4 alpha))) (* -2 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
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rewrite214.0ms (2.4%)

Memory
3.4MiB live, 334.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067521
0108518
1492516
24268516
08169508
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 287
Calls
Call 1
Inputs
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) alpha)
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha)
#s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
(fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha)
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 6 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 6 binary64)))
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(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal 6 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 9/2 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 5 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64))) (fabs.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 9/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 5 binary64)))
(pow.f64 (*.f64 (exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) (exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64))
(pow.f64 (fabs.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 6 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(literal 6 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 6 binary64))
(/.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (-.f64 beta alpha)) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 beta alpha) #s(literal 6 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 6 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 4 binary64) (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 6 binary64)))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 3 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 6 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 alpha #s(literal -2 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)))
(/.f64 (+.f64 (pow.f64 alpha #s(literal -3 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64))) (+.f64 (pow.f64 alpha #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) beta))) (neg.f64 (neg.f64 alpha)))
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 alpha beta)) (*.f64 alpha alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (*.f64 (-.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) alpha))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) beta)) (neg.f64 alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) beta)) alpha))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (neg.f64 alpha)))
(+.f64 (/.f64 beta alpha) (pow.f64 alpha #s(literal -1 binary64)))
(+.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))

eval202.0ms (2.2%)

Memory
24.4MiB live, 442.8MiB allocated
Compiler

Compiled 164 853 to 5 239 computations (96.8% saved)

prune101.0ms (1.1%)

Memory
14.3MiB live, 141.5MiB allocated
Pruning

30 alts after pruning (21 fresh and 9 done)

PrunedKeptTotal
New5967603
Fresh11415
Picked235
Done066
Total59930629
Accuracy
99.9%
Counts
629 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.0%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
48.5%
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) #s(approx (+ 2 beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
63.4%
(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
73.6%
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))
43.0%
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
72.0%
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 #s(approx (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
63.0%
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
54.8%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
63.0%
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓74.0%
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
4.9%
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
✓3.7%
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
✓71.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
24.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
30.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
48.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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))))
48.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
✓24.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓50.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓32.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
8.1%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))))
✓52.2%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
17.2%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) beta)) alpha)))
29.3%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))) alpha))
✓23.3%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
24.6%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
50.6%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))))))
49.8%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
24.4%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) alpha))))
23.3%
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha)) (/ (+ 1 beta) alpha)) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))))
Compiler

Compiled 2 910 to 879 computations (69.8% saved)

regimes218.0ms (2.4%)

Memory
-4.3MiB live, 188.2MiB allocated
Counts
49 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) #s(approx (+ 2 beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha)) (/ (+ 1 beta) alpha)) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))) alpha))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) alpha))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)))
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #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)))
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) alpha)) (neg.f64 alpha)))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) beta)) alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 #s(approx (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
Outputs
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

5 calls:

67.0ms
alpha
55.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
48.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
32.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
13.0ms
beta
Results
AccuracySegmentsBranch
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
97.2%2alpha
74.0%1beta
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes48.0ms (0.5%)

Memory
32.7MiB live, 75.9MiB allocated
Counts
37 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) #s(approx (+ 2 beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha)) (/ (+ 1 beta) alpha)) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))) alpha))
(/.f64 (+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) alpha))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)))
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))))
Outputs
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))) alpha))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

30.0ms
(+.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
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes80.0ms (0.9%)

Memory
-31.2MiB live, 65.6MiB allocated
Counts
27 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) #s(approx (+ 2 beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (+ (* -1/2 beta) -1) (/ (/ (+ (* 2 beta) 2) alpha) alpha)) (/ (+ 1 beta) alpha)) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

42.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
31.0ms
(/.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
99.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
99.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes24.0ms (0.3%)

Memory
-5.0MiB live, 42.4MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) #s(approx (+ 2 beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #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 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
Calls

3 calls:

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))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
99.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes15.0ms (0.2%)

Memory
42.4MiB live, 42.4MiB 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) #s(approx (+ 2 beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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))
4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes36.0ms (0.4%)

Memory
-16.8MiB live, 30.3MiB allocated
Counts
18 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) #s(approx (+ 2 beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
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 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

26.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
97.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
97.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
97.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes36.0ms (0.4%)

Memory
-27.9MiB live, 26.6MiB allocated
Counts
14 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #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))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
Calls

4 calls:

24.0ms
alpha
4.0ms
(/.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))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
78.3%2alpha
96.5%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
96.5%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
96.5%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes10.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
12 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #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
96.5%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
96.5%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
96.5%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Outputs
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
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
90.6%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
90.6%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
90.6%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes9.0ms (0.1%)

Memory
-30.6MiB live, 16.6MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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

3 calls:

3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
90.4%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
90.4%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
90.4%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes7.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
Outputs
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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

3 calls:

2.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
89.9%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
89.9%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
89.9%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes44.0ms (0.5%)

Memory
-22.5MiB live, 24.4MiB 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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

5 calls:

35.0ms
beta
2.0ms
alpha
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
69.4%2beta
54.1%2alpha
69.2%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
69.2%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
69.2%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
(+.f64 #s(approx (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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:

2.0ms
beta
1.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
68.2%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
68.2%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
68.2%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
68.2%2beta
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes5.0ms (0.1%)

Memory
13.6MiB live, 13.5MiB 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 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))
1.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
32.3%1alpha
32.3%1beta
32.3%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
32.3%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
32.3%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.2195777915623438e-7
0.0009317939162814537
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.2195777915623438e-7
0.0009317939162814537
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.6075693260760886e-10
1.3695652628653576e-7
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.6075693260760886e-10
1.3695652628653576e-7
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.004016679977414839
0.4928810109612542
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.004016679977414839
0.4928810109612542
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7284271168014793
0.9974398300357201
0.0ms
0.004016679977414839
0.4928810109612542
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7284271168014793
0.9974398300357201
0.0ms
0.004016679977414839
0.4928810109612542
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7284271168014793
0.9974398300357201
0.0ms
0.004016679977414839
0.4928810109612542
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7284271168014793
0.9974398300357201
0.0ms
0.004016679977414839
0.4928810109612542
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7284271168014793
0.9974398300357201
0.0ms
0.004016679977414839
0.4928810109612542
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch20.0ms (0.2%)

Memory
-19.7MiB live, 27.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.6822527647909404
388.5990672307845
Samples
6.0ms10×2valid
4.0ms79×0valid
3.0ms23×1valid
Compiler

Compiled 317 to 253 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (57.1% of total)
ival-add: 2.0ms (19% of total)
adjust: 1.0ms (9.5% of total)
ival-sub: 1.0ms (9.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
3.0ms
0.7284271168014793
0.9974398300357201
Samples
1.0ms64×0valid
Compiler

Compiled 176 to 143 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify126.0ms (1.4%)

Memory
-0.3MiB live, 48.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115996
1187996
2336996
3885996
43805996
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) #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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 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 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 #s(approx (+ (* (* -1/2 (+ 2 beta)) (/ (+ (* 2 beta) 2) alpha)) (+ 1 beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
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(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
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(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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))))
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(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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))

soundness1.2s (13%)

Memory
-13.6MiB live, 1 035.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043240
065240
1312240
22274240
08851230
01039
01639
18639
262839
0852938
07063783
123573471
086493311
06753403
123203182
086673028
033206
055201
1246199
21764197
08215197
04172135
114481995
257891890
082321803
03359116138
08081110765
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 449 to 474 computations (67.3% saved)

preprocess124.0ms (1.4%)

Memory
19.8MiB live, 163.0MiB allocated
Compiler

Compiled 2 018 to 258 computations (87.2% saved)

end18.0ms (0.2%)

Memory
-0.9MiB live, 43.0MiB allocated

Profiling

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