Octave 3.8, jcobi/1

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
4.1MiB live, 4.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
0%0%56.2%43.8%0%0%0%1
50%28.1%28.1%43.8%0%0%0%2
75%42.1%14%43.8%0%0%0%3
87.5%49.2%7%43.8%0%0%0%4
93.8%52.7%3.5%43.8%0%0%0%5
96.9%54.4%1.8%43.8%0%0%0%6
98.4%55.3%0.9%43.8%0%0%0%7
99.2%55.7%0.4%43.8%0%0%0%8
99.6%56%0.2%43.8%0%0%0%9
99.8%56.1%0.1%43.8%0%0%0%10
99.9%56.1%0.1%43.8%0%0%0%11
100%56.1%0%43.8%0%0%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.4s (18.2%)

Memory
44.6MiB live, 1 926.4MiB allocated
Samples
546.0ms6 123×0valid
282.0ms1 375×1valid
161.0ms758×2valid
Precisions
Click to see histograms. Total time spent on operations: 709.0ms
ival-add: 190.0ms (26.8% of total)
ival-div: 182.0ms (25.7% of total)
ival-sub: 124.0ms (17.5% of total)
adjust: 108.0ms (15.2% of total)
ival->: 78.0ms (11% of total)
exact: 13.0ms (1.8% of total)
ival-and: 10.0ms (1.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain171.0ms (2.2%)

Memory
-22.6MiB live, 220.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
580-0-(+.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))cancellation580
Confusion
Predicted +Predicted -
+580
-0198
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5800
-00198
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0198
158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms78×1valid
25.0ms398×0valid
9.0ms36×2valid
Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-add: 11.0ms (40.7% of total)
ival-div: 8.0ms (29.6% of total)
adjust: 4.0ms (14.8% of total)
ival-sub: 3.0ms (11.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess307.0ms (3.9%)

Memory
31.7MiB live, 108.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify123.0ms (1.6%)

Memory
1.9MiB live, 47.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-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
12848
24548
37348
413348
529248
657548
797848
8169348
9295548
10328048
11337848
12343248
13343448
14343448
15343448
0343447
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize73.0ms (0.9%)

Memory
-30.7MiB live, 44.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy0.0
(+.f64 alpha beta)
accuracy0.0234375
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy13.532484647737427
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
40.0ms199×0valid
5.0ms39×1valid
4.0ms18×2valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 8.0ms (49.7% of total)
ival-add: 4.0ms (24.9% of total)
adjust: 2.0ms (12.4% of total)
ival-sub: 2.0ms (12.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
6 → 87
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
Outputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ alpha beta)
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(- beta alpha)
(+ 2 alpha)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
Calls

6 calls:

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

simplify160.0ms (2.1%)

Memory
-1.6MiB live, 191.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite268.0ms (3.4%)

Memory
-24.0MiB live, 220.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval133.0ms (1.7%)

Memory
17.9MiB live, 134.5MiB allocated
Compiler

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

prune44.0ms (0.6%)

Memory
0.8MiB live, 38.3MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5339542
Fresh000
Picked101
Done000
Total5349543
Accuracy
100.0%
Counts
543 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.9%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
78.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 2 binary64))
35.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
77.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
22.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
23.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
24.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
49.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
42.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 510 to 306 computations (40% saved)

simplify141.0ms (1.8%)

Memory
22.9MiB live, 211.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
cost-diff1
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
cost-diff3
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
cost-diff0
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff0
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff2
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(-.f64 beta #s(literal -2 binary64))
cost-diff0
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
cost-diff0
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
cost-diff0
(-.f64 alpha beta)
cost-diff0
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
cost-diff0
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038330
066330
1132330
2272325
3831317
43438315
57961315
08515312
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
beta
(-.f64 beta #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))
#s(literal -2 binary64)
beta
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
Outputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(+.f64 alpha beta)
(+.f64 beta alpha)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
beta
(-.f64 beta #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 beta #s(literal -1 binary64))) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 beta #s(literal -1 binary64))) alpha)
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(fma.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 beta #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(*.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (fma.f64 (-.f64 beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) #s(literal -4 binary64)))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 beta #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))
#s(literal -2 binary64)
beta
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) beta)
(-.f64 beta #s(literal -1 binary64))
#s(literal 1 binary64)

localize166.0ms (2.1%)

Memory
-28.5MiB live, 331.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.5134904487733815
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
accuracy1.4774180916873998
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
accuracy1.888012373292341
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
accuracy48.38704111435262
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
accuracy0.0
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy0.00390625
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.0078125
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy41.364332600316075
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0.0
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy0.0
(-.f64 beta #s(literal -2 binary64))
accuracy0.0078125
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
accuracy14.712183043600875
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy36.72113746313233
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy0.0
(+.f64 alpha beta)
accuracy0.0234375
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy13.531212936296033
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Samples
64.0ms199×0valid
42.0ms39×1valid
13.0ms18×2valid
Compiler

Compiled 298 to 41 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-add: 32.0ms (34.4% of total)
ival-div: 15.0ms (16.1% of total)
ival-mult: 15.0ms (16.1% of total)
ival-pow2: 13.0ms (14% of total)
ival-sub: 9.0ms (9.7% of total)
adjust: 7.0ms (7.5% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
-28.6MiB live, 56.0MiB allocated
Counts
20 → 198
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(-.f64 beta #s(literal -2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(+.f64 alpha beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(* -1 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
beta
(+ alpha beta)
(/ (pow (+ 2 beta) 2) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))
(* (+ 2 beta) (- (* -2 beta) 2))
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha))))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ alpha (* -1 beta))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
2
(+ 2 beta)
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))
(* 2 (- (* 4 (/ 1 alpha)) 2))
(- (* -1 (* beta (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (* 2 (/ 1 alpha)) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(/ 4 alpha)
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1 (* beta (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2))))))))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* beta (- (/ alpha beta) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3)))))
(* 2 (/ (pow beta 3) alpha))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))
(* beta (+ 1 (/ alpha beta)))
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
beta
@inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))
7.0ms
alpha
@0
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))
6.0ms
beta
@-inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))
6.0ms
alpha
@-inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))
5.0ms
alpha
@inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))

simplify193.0ms (2.5%)

Memory
16.6MiB live, 244.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09515058
130614761
087464505
Stop Event
iter limit
node limit
Counts
198 → 196
Calls
Call 1
Inputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(* -1 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
beta
(+ alpha beta)
(/ (pow (+ 2 beta) 2) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))
(* (+ 2 beta) (- (* -2 beta) 2))
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha))))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ alpha (* -1 beta))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
2
(+ 2 beta)
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))
(* 2 (- (* 4 (/ 1 alpha)) 2))
(- (* -1 (* beta (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (* 2 (/ 1 alpha)) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(/ 4 alpha)
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1 (* beta (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2))))))))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* beta (- (/ alpha beta) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3)))))
(* 2 (/ (pow beta 3) alpha))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))
(* beta (+ 1 (/ alpha beta)))
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(fma.f64 (fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(* -1 beta)
(neg.f64 beta)
(- alpha beta)
(-.f64 alpha beta)
(* -1 (+ 2 beta))
(-.f64 #s(literal -2 binary64) beta)
(- (* -1 alpha) (+ 2 beta))
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
(/ -2 beta)
(/.f64 #s(literal -2 binary64) beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
-2
#s(literal -2 binary64)
(- (* -2 alpha) 2)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/.f64 (fma.f64 (*.f64 alpha (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (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 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) alpha)) (*.f64 alpha alpha))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))
(/.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))) (neg.f64 alpha))
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/.f64 (fma.f64 (*.f64 alpha (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (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 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) alpha)) (pow.f64 alpha #s(literal 3 binary64)))
beta
(+ alpha beta)
(+.f64 beta alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(*.f64 (/.f64 (neg.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))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))))) alpha)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
(fma.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1 binary64)))
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) alpha)
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha alpha))) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha alpha)))) (+.f64 #s(literal 1 binary64) beta)) alpha)
(* -1 (/ alpha beta))
(/.f64 (neg.f64 alpha) beta)
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta))) alpha)
(* -2 (/ alpha beta))
(*.f64 #s(literal -2 binary64) (/.f64 alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha))
(* -2 alpha)
(*.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta))
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))
(+.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) beta)) #s(literal 1 binary64))
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(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 beta #s(literal 3 binary64)) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha))) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha))) (*.f64 (*.f64 beta beta) alpha)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (pow.f64 beta #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64)))
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 (/.f64 #s(literal 4 binary64) alpha) beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(*.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (pow.f64 beta #s(literal 3 binary64)) alpha))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) beta) #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))) (pow.f64 beta #s(literal 3 binary64)))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) beta) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) (*.f64 beta beta))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) (*.f64 beta beta)) #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))))) (pow.f64 beta #s(literal 3 binary64)))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))))
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
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(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 alpha (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))) beta)) (-.f64 #s(literal -2 binary64) alpha)) beta))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) beta)) beta))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) beta) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (neg.f64 beta)) (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64)))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) alpha))) beta) (/.f64 #s(literal 2 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) beta) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha))))) beta) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha))) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64) #s(literal 4 binary64))) beta)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (*.f64 beta alpha)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) alpha) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) alpha) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) alpha)) beta)) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) alpha) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))) alpha) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta)) (/.f64 #s(literal 1 binary64) alpha)) beta)) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) beta) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) beta)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 beta alpha)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64) #s(literal 4 binary64)) alpha))) (neg.f64 beta)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))))

rewrite318.0ms (4.1%)

Memory
-8.7MiB live, 280.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038260
066260
1350260
23077260
09868260
Stop Event
iter limit
node limit
iter limit
Counts
20 → 487
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(-.f64 beta #s(literal -2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(+.f64 alpha beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(pow.f64 (/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) #s(literal -1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) (-.f64 alpha beta))
(*.f64 (neg.f64 (-.f64 alpha beta)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(*.f64 (-.f64 alpha beta) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -1 binary64))
(/.f64 (-.f64 (neg.f64 alpha) (neg.f64 beta)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) (+.f64 beta alpha))
(/.f64 (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 (-.f64 alpha beta) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 alpha beta))) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (-.f64 (*.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) beta)) (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta))))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (-.f64 alpha beta)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(neg.f64 (/.f64 (neg.f64 (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(neg.f64 (/.f64 (-.f64 alpha beta) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (neg.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 alpha (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) (neg.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta))) #s(literal -1 binary64)))
(+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (neg.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))
(*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (-.f64 alpha beta))
(*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (pow.f64 (+.f64 beta alpha) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (neg.f64 (+.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (-.f64 alpha (neg.f64 beta)))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 beta alpha))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (*.f64 beta beta) (*.f64 alpha (neg.f64 beta)))))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) beta alpha)
(-.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta alpha)))
(-.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha))))
(-.f64 alpha beta)
(+.f64 (neg.f64 beta) alpha)
(+.f64 alpha (neg.f64 beta))
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (+.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 beta beta (*.f64 (-.f64 #s(literal -2 binary64) alpha) beta))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
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(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha)
(/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))))
(neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))) #s(literal -1 binary64)))

eval150.0ms (1.9%)

Memory
25.0MiB live, 139.9MiB allocated
Compiler

Compiled 30 650 to 3 728 computations (87.8% saved)

prune86.0ms (1.1%)

Memory
-10.9MiB live, 62.3MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New69913712
Fresh224
Picked325
Done000
Total70417721
Accuracy
100.0%
Counts
721 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
78.6%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
49.1%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
78.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 2 binary64))
38.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
77.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
23.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
24.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
19.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
35.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
35.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
44.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
43.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
44.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
48.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
42.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 929 to 608 computations (34.6% saved)

simplify167.0ms (2.1%)

Memory
5.1MiB live, 89.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)
cost-diff0
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
cost-diff2
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta)
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
cost-diff0
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 2 binary64))
cost-diff1
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff6
(+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
cost-diff8
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055574
085572
1159562
2358531
31108529
45089513
08303499
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
#s(literal 1 binary64)
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
#s(literal 3 binary64)
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
#s(literal -1/8 binary64)
beta
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))
#s(literal 1/16 binary64)
beta
#s(literal -1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
#s(literal -2 binary64)
alpha
#s(literal 1/2 binary64)
beta
Outputs
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 alpha beta) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 alpha beta) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))
(pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
#s(literal 3 binary64)
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
(pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 alpha beta) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (fma.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
#s(literal -1/8 binary64)
beta
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))
#s(literal 1/16 binary64)
beta
#s(literal -1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) beta) alpha) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) beta) alpha) beta))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) beta) alpha) beta)
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta)
(-.f64 (+.f64 #s(literal -1 binary64) beta) alpha)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
#s(literal -2 binary64)
alpha
#s(literal 1/2 binary64)
beta

localize220.0ms (2.8%)

Memory
-3.4MiB live, 229.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta)
accuracy0.015625
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)
accuracy41.364332600316075
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
accuracy0.0
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))
accuracy0.01953125
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
accuracy14.712183043600875
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
accuracy24.3874243710434
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
accuracy0.0
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
accuracy0.0
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
accuracy14.712183043600875
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
accuracy25.241323357388506
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
accuracy14.712183043600875
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy21.38025899428161
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy0.06316376953688403
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
accuracy0.0703125
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy0.1015625
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))
accuracy13.455484223590153
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
Samples
72.0ms199×0valid
71.0ms39×1valid
38.0ms18×2valid
Compiler

Compiled 489 to 56 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 35.0ms (29.7% of total)
ival-add: 31.0ms (26.3% of total)
ival-div: 16.0ms (13.6% of total)
adjust: 16.0ms (13.6% of total)
ival-pow: 7.0ms (5.9% of total)
ival-pow2: 7.0ms (5.9% of total)
ival-sub: 4.0ms (3.4% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series171.0ms (2.2%)

Memory
-7.3MiB live, 149.4MiB allocated
Counts
23 → 246
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))
Outputs
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (* 2 (/ beta (pow (+ 2 beta) 5))))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(/ (* alpha (+ 1 (/ beta (+ 2 beta)))) (+ 2 beta))
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 3)))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))))))
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-1/8
(- (* 1/16 beta) 1/8)
4
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (* 2 (/ alpha beta))))
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(* 2 (/ alpha beta))
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(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* 2 alpha)) (* 2 (/ (* alpha (+ 2 alpha)) beta))) beta)
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(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
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(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* -1/8 beta)
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(* 1/16 (pow beta 3))
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta))))
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(* 1/16 (pow beta 2))
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
beta
(* beta (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
8
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(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
(/ (pow alpha 3) (pow beta 3))
(/ (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta)) (pow alpha 3)) (pow beta 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2))) (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow beta 2))) (pow alpha 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta)) (pow beta 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2))) (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (pow alpha 3) (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (* (pow alpha 3) (pow (+ 2 alpha) 3)))) (pow beta 3))) (pow alpha 3)) (+ (* -1 (/ (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (pow beta 2))) (+ (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2))))) (pow beta 3))
(* 1/16 beta)
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(+ 4 (* -1 (/ (+ (* -2 alpha) (* 4 (+ 2 alpha))) beta)))
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(+ 4 (* -1 (/ (+ (* -2 alpha) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (* 2 (* alpha (+ 2 alpha)))) beta)) (* 4 (+ 2 alpha)))) beta)))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (pow alpha 2)) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 3))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (+ (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) beta))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) beta))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 3))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))) beta))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) beta))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(+ 1 (* -1/2 (/ (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16)))
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))
(* -1 (* beta (- (* -1/2 (/ (- (* -2 alpha) 2) beta)) 1)))
(+ 8 (* -1 (/ (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))) beta)))
(+ 8 (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))) beta)) (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) beta)))
(+ 8 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3))) beta)) (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) beta)) (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) beta)))
(+ 2 (* -1 (/ (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta)))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(* -1 (/ (+ (* -1 (pow alpha 3)) (/ (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta)) (pow beta 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta) (+ (/ (* (pow alpha 3) (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) beta) (/ (* (pow alpha 3) (pow (+ 2 alpha) 3)) beta))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3)))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
alpha
@-inf
((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8))
34.0ms
alpha
@0
((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8))
17.0ms
alpha
@inf
((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8))
15.0ms
beta
@-inf
((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8))
15.0ms
beta
@inf
((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8))

simplify313.0ms (4%)

Memory
16.2MiB live, 298.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200322624
1698922618
0806021034
Stop Event
iter limit
node limit
Counts
246 → 245
Calls
Call 1
Inputs
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (* 2 (/ beta (pow (+ 2 beta) 5))))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(/ (* alpha (+ 1 (/ beta (+ 2 beta)))) (+ 2 beta))
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 3)))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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-1/8
(- (* 1/16 beta) 1/8)
4
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (* 2 (/ alpha beta))))
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(* 2 (/ alpha beta))
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(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* 2 alpha)) (* 2 (/ (* alpha (+ 2 alpha)) beta))) beta)
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(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
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(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* -1/8 beta)
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(* 1/16 (pow beta 3))
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta))))
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(* 1/16 (pow beta 2))
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
beta
(* beta (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
8
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(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
(/ (pow alpha 3) (pow beta 3))
(/ (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta)) (pow alpha 3)) (pow beta 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2))) (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow beta 2))) (pow alpha 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta)) (pow beta 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2))) (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (pow alpha 3) (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (* (pow alpha 3) (pow (+ 2 alpha) 3)))) (pow beta 3))) (pow alpha 3)) (+ (* -1 (/ (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (pow beta 2))) (+ (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2))))) (pow beta 3))
(* 1/16 beta)
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(+ 4 (* -1 (/ (+ (* -2 alpha) (* 4 (+ 2 alpha))) beta)))
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(+ 4 (* -1 (/ (+ (* -2 alpha) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (* 2 (* alpha (+ 2 alpha)))) beta)) (* 4 (+ 2 alpha)))) beta)))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (pow alpha 2)) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 3))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (+ (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) beta))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) beta))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 3))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))) beta))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) beta))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta))
(+ 1 (* -1/2 (/ (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16)))
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))
(* -1 (* beta (- (* -1/2 (/ (- (* -2 alpha) 2) beta)) 1)))
(+ 8 (* -1 (/ (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))) beta)))
(+ 8 (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))) beta)) (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) beta)))
(+ 8 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3))) beta)) (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) beta)) (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) beta)))
(+ 2 (* -1 (/ (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta)))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(* -1 (/ (+ (* -1 (pow alpha 3)) (/ (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta)) (pow beta 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta) (+ (/ (* (pow alpha 3) (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) beta) (/ (* (pow alpha 3) (pow (+ 2 alpha) 3)) beta))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3)))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))
Outputs
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 beta (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 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (/.f64 beta (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 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))
(*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(*.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (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)
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (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)
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (* 2 (/ beta (pow (+ 2 beta) 5))))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal -2 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (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)
(/ (* alpha (+ 1 (/ beta (+ 2 beta)))) (+ 2 beta))
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta))
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(*.f64 (fma.f64 (-.f64 (/.f64 (neg.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))) (/.f64 beta (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)
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(*.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 beta (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)
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 3)))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))
(*.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal -2 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 beta (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)
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))))) (* 1/2 (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))))))))
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(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))) alpha (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))) alpha (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(- beta 1)
(-.f64 beta #s(literal 1 binary64))
(- (+ beta (* -1 alpha)) 1)
(-.f64 (fma.f64 #s(literal -1 binary64) alpha beta) #s(literal 1 binary64))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(/ (- beta 1) beta)
(/.f64 (-.f64 beta #s(literal 1 binary64)) beta)
(pow (+ 1 (/ beta (+ 2 beta))) 3)
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))
(fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -3 binary64)) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* (+ 1 (/ beta (+ 2 beta))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 3)))))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha)) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* alpha (- (+ (* -2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 5))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 4))) (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5)))))))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* (+ 1 (/ beta (+ 2 beta))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 3))))))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 beta (/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha)) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* alpha (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) (/.f64 (*.f64 beta beta) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))) alpha (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 beta (+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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))) #s(literal 1 binary64))
(/ (pow alpha 2) (pow (+ 2 beta) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(*.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (neg.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha))
(/ (pow alpha 3) (pow (+ 2 beta) 3))
(/.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))
(* (pow alpha 3) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3))))
(*.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))
(* (pow alpha 3) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3))))
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (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 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))))))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))
(* (pow alpha 3) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 6 (+ beta (* 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3))))
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3
#s(literal 3 binary64)
(- 3 (* 6 (/ 1 alpha)))
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 6 binary64) alpha))
(- (+ 3 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow beta 2) (pow alpha 2)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (+ (/ (* beta (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))
(-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) beta) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha alpha))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)) #s(literal -1 binary64) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha))) (/.f64 #s(literal 6 binary64) alpha))))
(- (+ 3 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (+ (/ (* beta (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow (+ 2 beta) 2) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))))))))))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 6 (* 2 beta)) alpha)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 6 binary64)) alpha) #s(literal -1 binary64) #s(literal 2 binary64))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))))
(-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) #s(literal 2 binary64)) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)))
(- (+ 2 (* -1 (/ (+ (* -1 (* beta (pow (+ 4 (* 2 beta)) 2))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 6 (/ 1 alpha)) (+ (/ (* beta (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 beta) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha alpha))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)) #s(literal -1 binary64) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha))) (/.f64 #s(literal 6 binary64) alpha)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(- (+ 1 (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha))))
(-.f64 (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 beta) (- (* -1 (* beta (+ 2 beta))) (* -2 (+ 2 beta)))) (pow alpha 3)))))
(-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) alpha))))
(* 1/6 (/ (+ 6 (+ (* 2 beta) (* 4 beta))) alpha))
(*.f64 (/.f64 (fma.f64 beta #s(literal 6 binary64) #s(literal 6 binary64)) alpha) #s(literal 1/6 binary64))
(/ (+ (* 1/6 (+ 6 (+ (* 2 beta) (* 4 beta)))) (* 1/2 (/ (- (* 1/3 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))))) (* -2/3 (+ 6 (+ (* 2 beta) (* 4 beta))))) alpha))) alpha)
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(* 2 (/ alpha beta))
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(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* 2 alpha)) (* 2 (/ (* alpha (+ 2 alpha)) beta))) beta)
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(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2)))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)))) beta)
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(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* 2 alpha) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (+ (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)) (/ (* (+ 2 alpha) (- (* alpha (pow (+ 2 alpha) 2)) (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 3))))) beta)
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(+ 1 (* 1/2 (/ (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) beta)))
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(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal 12 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))) (-.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha)))) (*.f64 (-.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 alpha alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))))) (-.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 alpha alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -3 binary64)) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 1/2 binary64))))) beta))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha)))) (*.f64 (-.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 alpha alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) beta) #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))))) beta) #s(literal -1 binary64) #s(literal 2 binary64))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal -2 binary64) (*.f64 alpha alpha)) (*.f64 beta beta))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)))) beta))) (*.f64 beta beta))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))) beta) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta))) (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))))) beta) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)))) beta))) (*.f64 beta beta))
(* -1 (/ (+ (* -1 (pow alpha 3)) (/ (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta)) (pow beta 3)))
(neg.f64 (/.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3)))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64)) beta) (*.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) beta))) (*.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) beta) #s(literal -1 binary64) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta) (+ (/ (* (pow alpha 3) (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) beta) (/ (* (pow alpha 3) (pow (+ 2 alpha) 3)) beta))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3)))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))) beta) (-.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) (*.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta))) (*.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))) beta)) (*.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) beta) #s(literal -1 binary64) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 #s(literal 1/8 binary64) beta) #s(literal 1/16 binary64)))

rewrite194.0ms (2.5%)

Memory
-14.6MiB live, 217.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055509
085486
1459380
23937380
08359369
Stop Event
iter limit
node limit
iter limit
Counts
23 → 549
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))
Outputs
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(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64)) (pow.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta))) (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) beta)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64))))))
(/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta)) (*.f64 beta #s(literal -1/128 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64))))
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))))
(+.f64 (*.f64 #s(literal 1/16 binary64) beta) #s(literal -1/8 binary64))
(+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) beta))

eval252.0ms (3.2%)

Memory
28.2MiB live, 272.4MiB allocated
Compiler

Compiled 70 995 to 4 853 computations (93.2% saved)

prune74.0ms (1%)

Memory
-33.1MiB live, 46.0MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New7874791
Fresh2810
Picked235
Done022
Total79117808
Accuracy
100.0%
Counts
808 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
78.6%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
49.1%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
78.8%
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64))
38.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
77.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
23.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
24.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
19.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
35.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
35.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
44.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
43.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
44.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
48.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
42.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 813 to 561 computations (31% saved)

simplify123.0ms (1.6%)

Memory
39.1MiB live, 185.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
cost-diff0
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
cost-diff0
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)
cost-diff0
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
cost-diff1
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta)
cost-diff0
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)
cost-diff0
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
cost-diff0
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
cost-diff0
(+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64))
cost-diff1
(neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
cost-diff1
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062506
088506
1155482
2262465
3610465
41708465
54500465
08167451
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
alpha
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
(pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
#s(literal -1 binary64)
(neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
beta
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64)))
(-.f64 beta #s(literal 1 binary64))
beta
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta)
(+.f64 alpha #s(literal 1 binary64))
alpha
#s(literal 1 binary64)
#s(literal -1 binary64)
beta
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(*.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64))
(*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
alpha
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
(pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
#s(literal -1 binary64)
(neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
beta
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64)))
(-.f64 beta #s(literal 1 binary64))
beta
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (-.f64 (-.f64 beta #s(literal 1 binary64)) alpha) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (-.f64 (-.f64 beta #s(literal 1 binary64)) alpha) beta))
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)
(/.f64 (-.f64 (-.f64 beta #s(literal 1 binary64)) alpha) beta)
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta)
(-.f64 (-.f64 beta #s(literal 1 binary64)) alpha)
(+.f64 alpha #s(literal 1 binary64))
(-.f64 alpha #s(literal -1 binary64))
alpha
#s(literal 1 binary64)
#s(literal -1 binary64)
beta
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(*.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize246.0ms (3.2%)

Memory
-0.8MiB live, 369.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.0078125
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
accuracy41.364332600316075
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy44.936547797698964
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
accuracy0.0
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))
accuracy0.00390625
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta)
accuracy0.015625
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)
accuracy41.364332600316075
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
accuracy0.0
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))
accuracy0.015625
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)
accuracy14.926728151951593
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64)))
accuracy41.364332600316075
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
accuracy0.0
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
accuracy14.712183043600875
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
accuracy25.241323357388506
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
accuracy25.84090470202547
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64))
accuracy0.0234375
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
accuracy0.07945253907376808
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))
accuracy13.544203397737427
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
accuracy19.970620411862786
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
Samples
98.0ms95×1valid
62.0ms116×0valid
47.0ms45×2valid
Compiler

Compiled 373 to 54 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-div: 52.0ms (30.1% of total)
adjust: 41.0ms (23.8% of total)
ival-add: 29.0ms (16.8% of total)
ival-mult: 25.0ms (14.5% of total)
ival-sub: 13.0ms (7.5% of total)
ival-pow: 10.0ms (5.8% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (1.1%)

Memory
2.4MiB live, 159.0MiB allocated
Counts
23 → 211
Calls
Call 1
Inputs
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64))
(+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64)))
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
Outputs
(+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))
(+ (* alpha (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))) (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))))
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))))) 2)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 3) (pow (+ 2 beta) 9)))) (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* 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 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (+ (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 2 beta) 4))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4)))))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))) (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))) (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))))
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4)))) (+ (* alpha (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4))) (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 5)))) (+ (* -2 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 5)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))))) 2)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 3) (pow (+ 2 beta) 9)))) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 2 beta) 4))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4)))))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6)))) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (* (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 2 beta) 4))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 3) (pow (+ 2 beta) 9)))) (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ (* (- (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4)))) (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* 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 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4)))))) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (+ (/ (* (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 2 beta) 4))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4)))) (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (* (pow beta 3) (+ 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beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 3) (pow (+ 2 beta) 9)))) (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* 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 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (+ (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 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(- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 5))) (/ (pow beta 3) (pow alpha 3)))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow alpha 4)))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) (+ 1 (/ 1 alpha))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(- (/ beta alpha) 1)
(- (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ beta alpha)) 1)
(- (+ (/ beta alpha) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (+ 1 (/ (* beta (+ 2 beta)) (pow alpha 2))))
(/ (pow beta 3) (pow alpha 3))
(/ (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha)) (pow beta 3)) (pow alpha 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (pow beta 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha)) (pow alpha 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (pow beta 3) (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (* (pow beta 3) (pow (+ 2 beta) 3)))) (pow alpha 3))) (pow beta 3)) (+ (* -1 (/ (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2)) (pow alpha 2))) (+ (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2))))) (pow alpha 3))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (/ (- (* -1 (* (+ 2 beta) (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* -1 (* beta (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* beta (- (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (+ (* (pow beta 3) (+ 2 (+ beta (+ (* -1 beta) (* 2 (+ 2 beta)))))) (pow (+ 2 beta) 4))))))) alpha)) (* -1 (pow beta 3)))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha))
(- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1)
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (+ 2 beta) (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* -1 (* beta (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* beta (- (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (+ (* (pow beta 3) (+ 2 (+ beta (+ (* -1 beta) (* 2 (+ 2 beta)))))) (pow (+ 2 beta) 4))))))) alpha)) (* 1/2 (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ 1 (* -1 (/ (+ (* -1 (pow beta 3)) (/ (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta))))) alpha)) (pow alpha 3))))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) alpha) (/ (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ 1 (* -1 (/ (- beta 1) alpha)))))
(- (* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha)) 1)
(* -1 (/ (+ (* -1 (pow beta 3)) (/ (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta))))) alpha)) (pow alpha 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) alpha) (/ (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) alpha) (+ (/ (* (pow beta 3) (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2))))) alpha) (/ (* (pow beta 3) (pow (+ 2 beta) 3)) alpha))) (+ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3)))
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(- (/ (* alpha beta) (pow (+ 2 alpha) 2)) (/ alpha (+ 2 alpha)))
(- (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(- (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2)))) (/ 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 (/ (pow beta 3) (pow (+ 2 alpha) 3)))
(+ 1 (* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))))
(+ 1 (* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))))
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)))))
1/4
(+ 1/4 (* -1/8 beta))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(* 1/2 (- (* -2 alpha) 2))
(+ beta (* 1/2 (- (* -2 alpha) 2)))
(* -1 (+ 1 alpha))
(+ beta (* -1 (+ 1 alpha)))
(* -1 (/ (+ 1 alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(/ (- (* -2 alpha) 2) beta)
(- (/ beta (+ 2 alpha)) 1)
(- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) 1)
(- (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) 1)
(/ (pow beta 3) (pow (+ 2 alpha) 3))
(* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))
(* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))
(* (pow beta 3) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 6 (+ alpha (* 2 alpha))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (pow beta 2)) (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 2))))))))
(- (+ 2 (+ (* -2 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha))))))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (- (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))))) (* -1 (pow (+ 4 (* 2 alpha)) 2)))) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (pow beta 3)) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- alpha (+ 2 (* 2 alpha)))) (pow beta 3)) (+ (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 2)) (+ (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha))))) (pow beta 3)) (+ (/ (* (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))))))))))))
(/ (- (/ (* alpha (+ 2 alpha)) beta) alpha) beta)
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) alpha) beta)
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) beta) (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) alpha) beta)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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(+ 2 (* -1 (/ (+ 6 (+ alpha (* 2 alpha))) beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (/ alpha beta))))
(- (+ 2 (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 6 (+ alpha (* 2 alpha))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* -1/8 beta)
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
beta
(* beta (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))))
(* beta (+ 1 (* -1 (/ (+ 1 alpha) beta))))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(* -1 (/ (+ 2 alpha) beta))
(/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)
(/ (- (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 2))) (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta))))) beta)
(/ (- (/ (pow (+ 2 alpha) 4) (pow beta 3)) (+ 2 (+ alpha (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 2 alpha) 3) (pow beta 2)))))) beta)
(+ 1 (* -1 (/ (+ 6 (+ alpha (* 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (/ alpha beta))))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 6 (+ alpha (* 2 alpha))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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Calls

6 calls:

TimeVariablePointExpression
26.0ms
beta
@-inf
((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2)))
22.0ms
alpha
@0
((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2)))
8.0ms
beta
@inf
((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2)))
7.0ms
alpha
@inf
((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2)))
6.0ms
alpha
@-inf
((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2)))

simplify224.0ms (2.9%)

Memory
-21.0MiB live, 376.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137714276
1469912781
0817212119
Stop Event
iter limit
node limit
Counts
211 → 210
Calls
Call 1
Inputs
(+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))
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(/ (- (+ 2 (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (/ (* (+ 2 beta) (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))) (pow alpha 3)) (+ (/ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (+ (/ (pow beta 3) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))))))) (+ (* -1 beta) (+ (* -1 (/ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (pow alpha 2))) (+ (* -1 (/ (* beta (- (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (pow alpha 3))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (pow beta 2) alpha)) (+ (/ (* beta (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))) (pow alpha 3)) (+ (/ (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (+ (/ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 3)) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (* (pow beta 3) (+ 6 (+ beta (+ (* -1 beta) (* 2 beta))))) (pow alpha 3)) (/ (pow beta 2) alpha)))))))))))) alpha)
-1
(- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1)
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) 1)
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (pow (+ 2 beta) 3) (pow alpha 3))))) 1)
(* 1/2 (/ (- (+ 2 beta) (* -1 beta)) alpha))
(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha))) alpha)
(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (+ (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha)) (* 1/2 (/ (- (+ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (pow beta 3) (pow (+ 2 beta) 3))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (+ (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha)) (+ (* 1/2 (/ (- (+ (* -1 (pow (+ 2 beta) 4)) (* (+ 2 beta) (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))) (+ (* -1 (* beta (- (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))))) (+ (* beta (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (* (pow beta 3) (+ 6 (+ beta (+ (* -1 beta) (* 2 beta)))))))))) (pow alpha 3))) (* 1/2 (/ (- (+ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (pow beta 3) (pow (+ 2 beta) 3))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))) (pow alpha 2)))))) alpha)
1
(+ 1 (/ (pow beta 3) (pow alpha 3)))
(+ 1 (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow alpha 4))) (/ (pow beta 3) (pow alpha 3))))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 5))) (/ (pow beta 3) (pow alpha 3)))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow alpha 4)))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) (+ 1 (/ 1 alpha))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(- (/ beta alpha) 1)
(- (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ beta alpha)) 1)
(- (+ (/ beta alpha) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (+ 1 (/ (* beta (+ 2 beta)) (pow alpha 2))))
(/ (pow beta 3) (pow alpha 3))
(/ (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha)) (pow beta 3)) (pow alpha 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (pow beta 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha)) (pow alpha 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (pow beta 3) (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (* (pow beta 3) (pow (+ 2 beta) 3)))) (pow alpha 3))) (pow beta 3)) (+ (* -1 (/ (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2)) (pow alpha 2))) (+ (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2))))) (pow alpha 3))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (/ (- (* -1 (* (+ 2 beta) (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* -1 (* beta (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* beta (- (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (+ (* (pow beta 3) (+ 2 (+ beta (+ (* -1 beta) (* 2 (+ 2 beta)))))) (pow (+ 2 beta) 4))))))) alpha)) (* -1 (pow beta 3)))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha))
(- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1)
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (+ 2 beta) (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* -1 (* beta (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* beta (- (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (+ (* (pow beta 3) (+ 2 (+ beta (+ (* -1 beta) (* 2 (+ 2 beta)))))) (pow (+ 2 beta) 4))))))) alpha)) (* 1/2 (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ 1 (* -1 (/ (+ (* -1 (pow beta 3)) (/ (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta))))) alpha)) (pow alpha 3))))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) alpha) (/ (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ 1 (* -1 (/ (- beta 1) alpha)))))
(- (* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha)) 1)
(* -1 (/ (+ (* -1 (pow beta 3)) (/ (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta))))) alpha)) (pow alpha 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) alpha) (/ (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) alpha) (+ (/ (* (pow beta 3) (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2))))) alpha) (/ (* (pow beta 3) (pow (+ 2 beta) 3)) alpha))) (+ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3)))
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(- (/ (* alpha beta) (pow (+ 2 alpha) 2)) (/ alpha (+ 2 alpha)))
(- (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(- (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2)))) (/ 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 (/ (pow beta 3) (pow (+ 2 alpha) 3)))
(+ 1 (* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))))
(+ 1 (* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))))
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)))))
1/4
(+ 1/4 (* -1/8 beta))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(* 1/2 (- (* -2 alpha) 2))
(+ beta (* 1/2 (- (* -2 alpha) 2)))
(* -1 (+ 1 alpha))
(+ beta (* -1 (+ 1 alpha)))
(* -1 (/ (+ 1 alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(/ (- (* -2 alpha) 2) beta)
(- (/ beta (+ 2 alpha)) 1)
(- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) 1)
(- (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) 1)
(/ (pow beta 3) (pow (+ 2 alpha) 3))
(* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))
(* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))
(* (pow beta 3) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 6 (+ alpha (* 2 alpha))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (pow beta 2)) (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 2))))))))
(- (+ 2 (+ (* -2 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha))))))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (- (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))))) (* -1 (pow (+ 4 (* 2 alpha)) 2)))) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (pow beta 3)) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- alpha (+ 2 (* 2 alpha)))) (pow beta 3)) (+ (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 2)) (+ (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha))))) (pow beta 3)) (+ (/ (* (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))))))))))))
(/ (- (/ (* alpha (+ 2 alpha)) beta) alpha) beta)
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) alpha) beta)
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) beta) (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) alpha) beta)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)))))) (pow beta 2)))))
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(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (/ alpha beta))))
(- (+ 2 (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 6 (+ alpha (* 2 alpha))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* -1/8 beta)
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
beta
(* beta (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))))
(* beta (+ 1 (* -1 (/ (+ 1 alpha) beta))))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(* -1 (/ (+ 2 alpha) beta))
(/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)
(/ (- (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 2))) (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta))))) beta)
(/ (- (/ (pow (+ 2 alpha) 4) (pow beta 3)) (+ 2 (+ alpha (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 2 alpha) 3) (pow beta 2)))))) beta)
(+ 1 (* -1 (/ (+ 6 (+ alpha (* 2 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (/ alpha beta))))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 6 (+ alpha (* 2 alpha))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 2 (* -1 (/ (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))) beta)))
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(* -1 (/ (- (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 alpha)) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) beta)) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta))
(+ 1 (* -1/2 (/ (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))) beta)))
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(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
(* -1 (* beta (- (* -1/2 (/ (- (* -2 alpha) 2) beta)) 1)))
(* -1 (* beta (- (+ (/ 1 beta) (/ alpha beta)) 1)))
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta)))) beta))
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 3) beta)) (pow (+ 2 alpha) 2)) beta)))) beta))
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 4) beta)) (pow (+ 2 alpha) 3)) beta)) (pow (+ 2 alpha) 2)) beta)))) beta))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
Outputs
(+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))
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(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (neg.f64 beta) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 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#s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
(* -1 (/ alpha (+ 2 beta)))
(/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta))
(* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))))
(*.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 4)) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (/.f64 #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)
(* 1/2 (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))))
(*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
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(+ 1 (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) 2)) (pow (+ 2 beta) 9))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3))))
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(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) 2)) (pow (+ 2 beta) 9))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* -1 (/ (* (pow beta 3) (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 9))) (/ (pow beta 3) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) 2)) (pow (+ 2 beta) 9))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3))))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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))))))))))
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(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
(/ (- beta 1) beta)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- beta 1)
(-.f64 beta #s(literal 1 binary64))
(- (+ beta (* -1 alpha)) 1)
(-.f64 (-.f64 beta alpha) #s(literal 1 binary64))
(/ -2 beta)
(/.f64 #s(literal -2 binary64) beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
-2
#s(literal -2 binary64)
(- (* -2 alpha) 2)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
(- (/ beta (+ 2 beta)) 1)
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) 1)
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(- (+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) 1)
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(- (+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) 1)
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(/ (pow beta 3) (pow (+ 2 beta) 3))
(/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))
(+ (* -1 (/ (* alpha (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 6))) (/ (pow beta 3) (pow (+ 2 beta) 3)))
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(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
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(/ (- (+ 2 beta) (* -1 beta)) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha)
(/ (- (+ 2 (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha))))) (+ (* -1 beta) (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow beta 2) alpha)))) alpha)
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) beta) #s(literal 2 binary64)) beta) alpha)
(/ (- (+ 2 (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (/ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (+ (/ (pow beta 3) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))))) (+ (* -1 beta) (+ (* -1 (/ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (pow alpha 2))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (pow beta 2) alpha)) (+ (/ (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (/ (pow beta 2) alpha))))))) alpha)
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(* -1 (/ alpha (+ 2 alpha)))
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(- (/ (* alpha beta) (pow (+ 2 alpha) 2)) (/ alpha (+ 2 alpha)))
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(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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(+ 1 (/ (pow beta 3) (pow (+ 2 alpha) 3)))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/8 beta))
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(* 1/2 (/ (- (* -2 alpha) 2) beta))
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(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)
(* 1/2 (- (* -2 alpha) 2))
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(+ beta (* 1/2 (- (* -2 alpha) 2)))
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(* -1 (+ 1 alpha))
(-.f64 #s(literal -1 binary64) alpha)
(+ beta (* -1 (+ 1 alpha)))
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(* -1 (/ (+ 1 alpha) beta))
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(/ (- (* -2 alpha) 2) beta)
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(- (/ beta (+ 2 alpha)) 1)
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))
(- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) 1)
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(- (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) 1)
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(/ (pow beta 3) (pow (+ 2 alpha) 3))
(/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))
(* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))
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(* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))
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(* (pow beta 3) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 6 (+ alpha (* 2 alpha))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))
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(/ beta (+ 2 alpha))
(/.f64 beta (+.f64 #s(literal 2 binary64) alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
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(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
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(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
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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))
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(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2))) beta)) (* 2 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 (-.f64 alpha (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) beta)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 2 binary64)) beta))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (+ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) (pow (+ 2 alpha) 3))) beta)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* 2 (+ 2 alpha))))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -2 binary64) (-.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) beta))) beta)) alpha) #s(literal 2 binary64)) beta))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta))
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) (neg.f64 beta))
(* -1 (* beta (- (* -1/2 (/ (- (* -2 alpha) 2) beta)) 1)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* beta (- (+ (/ 1 beta) (/ alpha beta)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64))) (neg.f64 beta))
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta)))) beta))
(/.f64 (+.f64 (-.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) #s(literal 2 binary64)) (neg.f64 beta))
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 3) beta)) (pow (+ 2 alpha) 2)) beta)))) beta))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)) beta)) (neg.f64 beta))
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 4) beta)) (pow (+ 2 alpha) 3)) beta)) (pow (+ 2 alpha) 2)) beta)))) beta))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) beta)) beta)) beta)) (neg.f64 beta))
(+ 1 (* -1 (/ (+ 2 (+ alpha (* 2 (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) beta))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (/ (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2) beta))) (* -1 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 3 binary64)) beta) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) beta)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (+ (* -1 (/ (pow (+ 2 alpha) 3) beta)) (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta))) (+ (* -1 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* -1 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 3 binary64)) beta) (fma.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (neg.f64 beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (neg.f64 beta)))) (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))))) (neg.f64 beta)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)) beta) #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)) beta))

rewrite216.0ms (2.8%)

Memory
-3.7MiB live, 272.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062423
088423
1446395
23542341
08910331
Stop Event
iter limit
node limit
iter limit
Counts
23 → 471
Calls
Call 1
Inputs
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64))
(+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64)))
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -3 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.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 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -3 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 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 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -3 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (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)))))
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(*.f64 (pow.f64 beta #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -3 binary64)) (pow.f64 beta #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 beta (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3 binary64))
(pow.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 beta) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 beta (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 beta))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) beta)) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 beta) #s(literal 3 binary64))) (neg.f64 (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)))
(/.f64 (pow.f64 (neg.f64 (neg.f64 beta)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (neg.f64 beta) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 beta) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (*.f64 beta (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 beta)) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(/.f64 (pow.f64 (neg.f64 beta) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 beta (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 beta) #s(literal 3 binary64)) (*.f64 (log.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 beta)) (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(*.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(*.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (/.f64 beta (-.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))))
(*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) beta)
(*.f64 (neg.f64 beta) (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(*.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 beta (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 beta (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 beta) #s(literal 1 binary64))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 beta))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 beta))) (exp.f64 (log.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (exp.f64 (log.f64 beta)) (exp.f64 (log.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (*.f64 (neg.f64 beta) #s(literal 1 binary64)) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (neg.f64 beta) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(neg.f64 (/.f64 beta (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))

eval132.0ms (1.7%)

Memory
28.7MiB live, 257.7MiB allocated
Compiler

Compiled 46 095 to 4 044 computations (91.2% saved)

prune33.0ms (0.4%)

Memory
-9.9MiB live, 78.9MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New7772779
Fresh077
Picked235
Done055
Total77917796
Accuracy
100.0%
Counts
796 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
78.6%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
49.1%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
78.8%
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64))
77.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
23.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
24.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
19.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
35.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta)))
35.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
35.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))
44.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
43.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
44.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
48.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
42.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 1 356 to 547 computations (59.7% saved)

regimes40.0ms (0.5%)

Memory
-6.4MiB live, 70.6MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 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) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

5 calls:

9.0ms
alpha
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms
beta
7.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.9%2alpha
78.9%1beta
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes20.0ms (0.3%)

Memory
-5.2MiB live, 36.7MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 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))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Calls

3 calls:

8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes15.0ms (0.2%)

Memory
32.5MiB live, 32.5MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

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))
4.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.2%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.2%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.2%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes16.0ms (0.2%)

Memory
-15.1MiB live, 23.6MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
4.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.2%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.2%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.2%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes22.0ms (0.3%)

Memory
-20.1MiB live, 19.3MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))
Calls

3 calls:

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
98.1%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.1%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.1%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes10.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) 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
97.9%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
97.9%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
97.9%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 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
97.8%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
97.8%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
97.8%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes38.0ms (0.5%)

Memory
-10.2MiB live, 29.1MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

5 calls:

27.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms
beta
3.0ms
alpha
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
76.6%2beta
52.6%2alpha
76.3%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
76.3%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
76.3%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
beta
Results
AccuracySegmentsBranch
76.4%2beta
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory
-20.8MiB live, 18.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

4 calls:

5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms
beta
2.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
75.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
75.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
75.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
76.0%2beta
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes5.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

4 calls:

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
75.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
75.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
75.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
75.4%2beta
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB 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 (/.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
42.6%1alpha
42.6%1beta
42.6%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
42.6%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
42.6%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999991592346653
-0.002474827852890472
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999968
-0.9999991592346653
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch3.0ms (0%)

Memory
-37.5MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
2.0ms
-0.9999991592346653
-0.002474827852890472
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999991592346653
-0.002474827852890472
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00020883665008701135
0.8955028099549915
0.0ms
-0.9999991592346653
-0.002474827852890472
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00020883665008701135
0.8955028099549915
0.0ms
-0.9999991592346653
-0.002474827852890472
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00020883665008701135
0.8955028099549915
0.0ms
-0.9999991592346653
-0.002474827852890472
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch22.0ms (0.3%)

Memory
2.7MiB live, 38.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.00041776054388654966
3459.6507235705053
Samples
6.0ms107×0valid
3.0ms23×1valid
3.0ms14×2valid
Compiler

Compiled 574 to 438 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (40.3% of total)
ival-div: 2.0ms (26.9% of total)
adjust: 1.0ms (13.4% of total)
ival-sub: 1.0ms (13.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00041776054388654966
3459.6507235705053
Compiler

Compiled 430 to 348 computations (19.1% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00041776054388654966
3459.6507235705053
Compiler

Compiled 403 to 330 computations (18.1% saved)

bsearch10.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.00020883665008701135
0.8955028099549915
Samples
4.0ms128×0valid
Compiler

Compiled 336 to 280 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (58.9% of total)
ival-add: 1.0ms (58.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify87.0ms (1.1%)

Memory
-18.9MiB live, 66.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0106770
1157768
2237766
3388766
4618766
51107766
62310766
77023766
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64))))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness1.1s (13.9%)

Memory
-9.7MiB live, 1 061.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137714276
1469912781
0817212119
09515058
130614761
087464505
055509
085486
1459380
23937380
08359369
038260
066260
1350260
23077260
09868260
04332206
113942067
246091878
087051750
01044
01644
19144
274844
0866743
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 075 to 381 computations (64.6% saved)

preprocess121.0ms (1.6%)

Memory
32.0MiB live, 112.8MiB allocated
Compiler

Compiled 1 566 to 242 computations (84.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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